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Emboss
Rectilinear equal flow - it’s such a rush, for such an hour, for the same time, it’s worth going through the same day.
Rivnomirny Rukh- this is such a flurry of the body, in which one’s swidkіst is stagnant (), so it’s constantly collapsing with one swidkіst, and soon there is no improvement ().
Rectilinear Rukh- the whole body is in a straight line, so the trajectory we have to go out is straight.
The speed of a straight straight line to lay down at the right time and at the skin point of the trajectory is straightened out as a body movement. That is why the vector of mobility changes from the vector of displacement. At the same time, the middle speed is at some interval between the hours of goodness and mittivism:
The speed of a straight straight line- ce physical vector quantity, which is good for moving the body for any interval of an hour before the value of this interval t:
Z ієї formulas. we can easily hang out moving body in equal Russian:
Let's look at the staleness of the swedishness and moving at the right time
Since our bodies are collapsing in a straight line and evenly accelerated (), then the schedule from the fallowing of the wind speed at the hour is vigladitime, as it is parallel to the straight axis of the hour.
In fallow projections of the speed of the body at the hour there is nothing complicated. The projection of the movement of the body is numerically superior to the area of the AOBC rectangle, but the magnitude of the movement vector is to the completion of the speed vector Timchasovo, the extension of which was the movement.
On the schedule mi bachimo fallow time.
From the graph it is clear that the projection of the speed is good:
The theorem about projections of flatness of two points of a rigid body on a straight line. Proof of the theorem. An example of solving problems.
ZmistTheorem
The projections of the smoothness of two points of a solid body onto the whole, which pass through the points, equal one to the other.
v A cos α = v B cos β.
proof
Let's choose a non-rigid coordinate system Oxyz. Take two full points of a solid body A and B. Come on (x A , y A , z A )і (x B , y B , z B )- Coordinate points. At the time of solid body, it functions at the hour t. Differentiating by the hour, we take away the projections of the sharpness of the points.
,
.
Hurry up, scho pіd an hour to the collapse of a solid body, vіdstan | AB | between the points is left with the rest, so that it can be deposited at the hour t. So postiynym є square vіdstani
.
Prodifferentiation for the hour t, fixing the rule of differentiation of folding functions.
Fast on 2
.
(1)
We introduce vector
.
Todi river (1)
you can look at the scalar creation of vectors.
(2)
We see the transformation.
;
(3)
.
For the likeness of the scalar creation
,
.
Presented in (3)
and soon on | AB |.
;
What did it take to bring.
Vіdnosna swidkіst
Let's look at point B through point A. Let's introduce the clearness of point B through A.
Todi river (2)
can be rewritten at a glance
.
That is, the visibility is perpendicular to the vector drawn from point A to point B. The point B is taken in sufficient order, the visibility of a solid point is perpendicular to the radius vector drawn from point A. Tobto point A tіlo zdіysnyuє obertalny ruh. Vіdnosna swidkіst tіla point vyznaєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєєє є at the formula for overt ruhu
.
Point A, where to look at the ruh, is often called pole.
The absolute flexibility of point B in a non-violent coordinate system can be written as follows:
.
There is more than the sum of the smoothness of the progressive movement of the dovilnoy point A (pole) and the smoothness of the wrapping movement of the pole A .
Butt rozvyazannya tasks
Wheels 1 and 2 with radii R 1 = 0.15 m and R 2 = 0.3 m vіdpovіdno, connected by hinges with shear 3 dozhini | AB | = 0.5 m. Wheel 1 is wrapped with a windshield 1 = 1 rad/s. For the position of the mechanism depicted on the little one, assign the top smoothness ω 2 wheels 2. Take L = 0.3 m.
Problem solving
Point A collapses on the stake radius R 1
wrap around center O 1
. The speed of point A is determined by the formula
V A = ω 1R1.
Straightening vector vertically (perpendicular to O 1 A).
Krapka B collapses on the stake radius R 2
wrap around center O 2
. The speed of point B is determined by the formula
V B = ω 2R2.
Zvіdsi
.
The straightening vector is horizontal (perpendicular to O 2B).
We will straight cut ABC. Vikoristovuєmo the Pythagorean theorem.
(m)
.
The cosine of the cut between the vector of speed and the straight line AB , at the straight line of the vector ,
.
per projection theorems two points of a solid body on a straight line can be:
VA cos α = V B cos β.
Zvіdsi
.
We know the top speed of the wheel 2.
rad/s.
ω 2 = 0.667 rad/s
Rozmir: px
Start showing from the third side:
transcript
1 Training variant from Fiziki 2013, Option 03 A1 Position of coordinates of body body at hour t may look:. Why is the projection of the firmness of the body on the whole Ox at the hour of the day? with such a 1) 2) 3) 4) A2 How to straighten the vector of the quickening of the spool on the threads at the moment of passing the yogic position of the equal for її free spins like a pendulum? 1) vertically uphill 2) vertically downwards 3) in the direction of the vector of the stiffness 4) in the opposite direction of the vector of the vector of forces. Why are there three vectors that are left behind, worth zero? 1) 2) 3) 4)
2 A4 The system is folded in two parts a and b. On the little one with arrows at a given scale, indicate the impulses of tsikh tіl. Why is there an impulse behind the module for the system? 1) 2) 3) 4) A5 A ball with mass m is thrown vertically uphill. If you resist with a support in a loop, then when the ball is lifted to a height h, the mechanical energy 1) increases by the value mgh 2) changes by the value mgh 3) does not change 4) if it is not possible, then the cob speed is not set A6 a small representation of the graph of the fallowing of the potential energy of the mathematical pendulum (shod the camp of yogo jealousy) at the hour. At the moment of the hour 1) 0 J 2) 8 J the kinetic energy of the pendulum is good:
3 3) 16 J 4) 32 J A7 When the temperature of the gas rises in the sealed vessel, the pressure of the gas increases. Zia ZMIN TIMA explains Tim, Shcho 1) Zbilshuhhhhhhhhhhhhhhhhhhhni heating the stir 2) Zbilshiye thermal rubbish molecules 3) pressure in ships with water and sourness, as the concentration of gases and mean-square fluidity are the same? 1) 2) 3) 4) A9 Tіla A and B may have different temperatures, higher, lower at Tіla C. Tіla A and B led to thermal contact one by one and the installation of a thermal equalizer was installed. If it is necessary to bring body A into thermal contact with body A, then body B heat 1, and the other - 2. Masi tіl the same. As a result, the temperature of the first body moved up by 100, and the temperature of the other body moved up by 50. It can be confirmed that the heat capacity of the speech of the first body is 1) greater, lower for the speech of another body 2) less, lower for the speech of another body 3) so itself, yak in the speech of another body 4) it is not possible to be spіvvіdnen with the heat capacity of the speech of another body A11 The difference between two point electric charges was changed by 3 times, and one of the charges was increased by 3 times. Forces between them 1) did not change 2) changed 3 times 3) increased 3 times 4) increased 27 times
4 A12 How to change the opir of the lancer AB, depicted as a little one, like a key To the opening? Opir skin resistor is 4 Ohm. 1) change to 4 ohm 2) change to 2 ohm 3) increase to 2 ohm 4) increase to 4 ohm At point A, the vector of induction of the magnetic field of straightening 1) vertically down 2) vertically uphill 3) to the left 4) to the right At the moment, 40 MJ of energy is stored in the boiler. Why is the inductance of the coil expensive? 1) 40 mg 2) 10 mg 3) 20 mg 4) 160 mg
5 A15 The reference image of the object in the lens is shown on the out-of-focus lens. The subject of the outlets 1) for the TREEMIM FOCUS 2) on the sub -focus vidstani vіd linji 3) mi focus ib focus 4) mi focus і linzo a16 for the visible svitlovikh on the singing cordon. Head change for three colors in case of falling white light, again on the border of the split, it is shown on the little one. Numbers are given colors 1) 1 blue, 2 green, 3 red 2) 1 blue, 2 red, 3 green 3) 1 red, 2 green, 3 blue 4) 1 red, 2 blue, 3 green A17 photon energy? 1) the square of the photon density 2) the photon density 3) the frequency of exposure 4) the length of time A18 A ball of cardboard with a thickness of 2 mm was placed in the core of the radioactive exposure detector. How can viprominyuvannya go through the crisis? 1) only 2) and 3) and 4) and A19 How can the nucleus of an atom of one chemical element miraculously transform into the nucleus of an atom of another chemical element? 1) maybe a nucleus 2) not a nucleus 3) only nuclei of atoms in radioactive isotopes can be 4) only nuclei of atoms can be, which stand behind uranium in Table D. I. Mendelev
6 A20 Є set of weights 20g, 40g, 60g and 80g This spring is attached to the support at the vertical position. Vantage along the cheeks carefully move up to the spring (div. Figure 1). The sagging of the spring under tension, which is attached to the spring, is shown in figure 2. The tension of such a mass, being attached to the main spring, can you add a small amount of air pressure to the main frequency? 1) 20 g 2) 40 g 3) 50 g 4) 80 g The ammeter reading at the last moment and hour is indicated at the table. t, ms I, ma Opir wires and ammeter, active opir of the inductance coil and internal opir of the dzherel znekhtuvat. 1) 1.5 B 2) 3 B 3) 6 B 4) 7 B
7 A22 A massive block is collapsing step by step by a horizontal plane under a constant force, directed under the hood to the horizon. Module qєї force. Coefficient of rubbing between a bar and a flat. The module of force rubbing, which is applied to the bar, is 2.8 N. Why is the weight of the bar worth? 1) 1.4 kg 2) 2 kg 3) 2.4 kg 4) 2.6 kg To convert ice into water at a temperature of 10 C, the amount of heat required is 200 kJ. How is the temperature set in the middle of the calorimeter, how does the ice take off the heating amount of heat 120 kJ? Heat transfer of the calorimeter and heat transfer from the outer core of the heat exchanger. 1) 4 Z 2) 6 Z 3) 2 Z 4) 0 Z A24 On a small scale of readings, a graph of the fallowing temperature in a vice for a constant mass of an ideal monatomic gas. Gas zdіysniv robot, scho cost 5 kj. The amount of heat, otrimane gas, fuel 1) 0 kJ 2) 3 kJ 3) 3.5 kJ 4) 5 kJ At the beginning of the hour, the capacitor charges up to a voltage of 4, the strum does not flow through the coil. At the moment of the hour, if the voltage on the capacitor becomes equal to 2 V, the energy of the magnetic field of the coil is more 1) 0.12 mJ 2) 120 J 3) 20 J 4) 40 mcJ
8 B1 Vantage with a mass, advancing to a long, non-stretching thread, with a long period. Kut of the maximum vіdhilennya dorіvnyuє. What will be the period of threading, the maximum kinetic energy and the frequency of threading of the thread pendulum, as if with a constant maximum cut, the vantage will change the length of the thread? Before the skin element of the first column, take the element of the other one and add in a row of different numbers the chosen numbers under the different letters. The numbers can be repeated. PHYSICAL VALUES A. Collision period B. Maximum kinetic energy C. Collision frequency CHANGE VALUE 1) Increase 2) Change 3) Do not change A B C??? B2 A wooden block was shoved uphill on a smooth, shabby plane, and became a hoe without rub. What does it mean when it comes to lightness, potential energy, the force of reaction of the frail area? Before the skin element of the first column, take the second element of the other one and add in a row of selected numbers the numbers with the corresponding letters. PHYSICAL VALUES A. Shvidkіst B. Potential energy C. Reaction force of a frail area CHANGES THE VALUE 1) Increases 2) Changes 3) Does not change A B C???
9 B3 The electric lance of a standing strum is depicted on the little one. Significance of the little one: EPC dzherela struma, R opir resistor. To the key. With the internal support of the jerela struma, and the support of the conductors that lead, you can snehtuvat. Set the difference between physical quantities and formulas, for which they can be developed. To the skin position of the first column, take the appropriate position of the other one and write down the selected numbers in the table under the appropriate letters. PHYSICAL VALUES A. Strum tightness in the lancet when the key is open B. Strum tightness in the lancet when the key is closed FORMULA 1) 2) 3) 4) A B? The sequence of digits, which you have seen, should be transferred to the form of confirmation (without spaces and any symbols).
10 B4 The condenser of the circulating circuit is connected to the constant voltage supply. Graphs A and B represent the fallow time at hour t of physical quantities, which characterize the coagulation in the circuit after the switch is transferred to position 2 at the moment. Set the visibility between graphs and physical quantities, the fallow of such graphs can be represented. To the skin position of the first column, take the appropriate position of the other one and write down the selected numbers in the table under the appropriate letters. Physical quantities: 1) the charge of the left lining of the capacitor; 2) the strength of the struma in the coil; 3) the energy of the magnetic field of the coil; 4) capacity of the capacitor. And B?
11 C1 It was established in the experiment that at the temperature of the room, on the walls of the bottle with cold water, the condensation of steam from the water starts, thus reducing the temperature of the bottle to. For the results of these experiments, you can see the water content of the experiment. For the completion of the task, speed up the table. Why does the moisture content change when the temperature rises again in the room, so the condensation of the steam of the water again is due to the same temperature of the bottle? The pressure and thickness of the water vapor at different temperatures are shown in the table: 8 28.7 51.2 130.5 C2 Schoolboy vletku at the dacha is alive not far from the Viysk airfield, on which the military transport planes were constantly landing, as if they were flying all the time along one trajectory (“gliads”), the projection of which on the ground was a straight line, far away from the dacha of a schoolboy. Vіn ozbroїvsya with a stopwatch and precise cutomіrnym іnstrument, provіv bagatorazovі vіmіri deyakіh hіvіv і avrednіv їх їх іх іх іх the same type of brands ітів. It appeared that if you were familiar with the minimum distance of a schoolboy, you would cut between the horizontal and straight on the floor, and the sound of yoga moving would be more sensitive to the schoolchild’s mind in an hour. For the whole hour, having easily reached the point of maximum approach with the schoolboy at the apex of the city. Z tsikh danikh, the schoolboy vyznach shvidkіst litaka. Why did she show herself evenly? C3 The diagram shows the change in pressure and pressure on an ideal monatomic gas. What is the amount of heat that was taken away or released by gas during the transition from station 1 to station 3?
12 C4 In the middle of the uncharged metal spool with a radius of r 1 = 40 cm - two spherical empty spherical radii, ruffled in such a way that their upper surfaces stick together in the center of the spool. A charge of NKL was placed at the center of one empty, and then a charge of NKL was placed at the center of the other (divine little ones). Find the modulus and direction of the electrostatic field stress vector at the point where it is located on the line = 1 m in the direction of the center of the cooler on the perpendicular to the windpipe, which is behind the empty center. C5 In the electric lance, shown in the small picture, the EPC wired the struma to 12 V, the capacity of the capacitor is 2 mF, the inductance of the coil is 5 mg, the lamp base is 5 Ohm and the resistor base is 3 Ohm. At the beginning of the hour, the key is K closures. What kind of energy is seen in the lamp after the opening of the key? Internal support dzherela strumu and wires nehtuvat. C6 The patient was given an intravenous dose equal to the isotope. The activity of which number of drops per second. The period is similar to the decay of the isotope before the year. After = 3 years 50 hv, the patient's blood activity began to drop for a second. What is the obligation of the introduced rozchin, what is the implicit obligation of the patient's blood? The transition of the nuclei to the isotope from the blood and other tissues of the body is affected.
13 Types: A1 2 A2 1 A3 1 A4 4 A5 3 A6 1 A7 2 A8 4 A9 1 A10 2 A11 4 A12 3 A13 3 A14 3 A15 2 A16 3 A17 3 A18 4 A19 3 A20 2 A2 4 A25 1 B1 221 B2 213 V3 34 V4 14
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Option 3725144 1. The car crashes in a straight line. The graph shows the amount of car's speed per hour. Why do you need the minimum boost module? Vіdpovіd vyslovіt m / s 2. 2. Sled with a mass
Option 3905114 1. Dependence of the coordinate of the body at the hour t may look: Why is the projection of the coordinate of the body on the whole Ox at the time of the hour t = 1 s at such a time? (Give feedback in meters per second.) 2. Bar
Option 2593766 1. Throw the body vertically uphill from the swedishness, after a day it fell on the surface of the Earth. Which chart shows the fallowness of the projected flow rate for the whole year? All OK
Federal state education budgetary institution of the highest education FINANCIAL UNIVERSITY UNDER THE RUSSIAN FEDERATION LICEYE OF THE FINUNISTIVE OF THE RESPONSIBILITY OF COMPREHENSIVE TESTS
Option 3308030 1. The body collapses the Ox axis. The graph shows the projection of the density of the body on the whole Ox per hour. What path passed by the body at the moment t = 4 s? (Vіdpovіd give for the meter.)
I. V. Yakovlev Grade 11, online stage, 2013/14 r_k 1. A stone, throwing from a dahu to a shed mayzha vertically uphill from a swedkistyu 15 m / s, falling to the ground
εdemo variant ЄDI 2019 р. task 18. The electric lance on the little one is stacked with a dzherela struma with EPC ε and an internal support and an external lance with two identical resistors in the support
Task 31 of physics 1. At the lesson of physics, the student chose the scheme, depicting a little one. It was clear to you that the support resistors are adjusted R1=1 ohm and R2=2 ohm. Strumi, vymiryany schoolboy for help
Option 555470 1. A cyclist, collapsing under the wind, having passed between two points of speed 15 km/year. Back wine їhav udvіchі more. What is the average shlyahova shvidkіst in all directions?
Physics Olympiad "Physics" 217 Class 11 Ticket 11-3 Code 1. On the heeling under the hood (cos 3/4) to the horizon, lay a bar on the surface, attaching to the spring unloaded and dow a long spring (div.
For vykonanny rozrakhunkіv shvidkosti and sooner it is necessary to pass from the record of equals in the vector form to the record of equals in the form of algebra.
Vectors 
may be different directly, so the transition from vector notation to algebraic can be more laborious.
Apparently, the projection of the sum of two vectors onto the coordinate of the whole is more equal to the sum of the projections of the additional vectors onto the same vector.
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For the meaning of projection
The projection of the vector on the whole is considered positive, as in the projection of the cob to the projection of the end of the vector, it is necessary to go straight ahead of the axis, and negative in the prolongation. |
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speed vector 
for quite a bit of OX it is necessary to know the algebraic sum of the projection vectors 
і 
on the very same thing.
Shipping schedule
Z equal 
next, according to the schedule of fallow, the projection of the speed of the evenly accelerated rush at the hour is straight. If the projection of the cob cob density all OX is equal to zero, then it is straight to pass through the cob of coordinates.
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Main vision
a n = 0, a = 0 - Straight line rіvnomіrny ruh;
a n = 0, a = const- Rectilinear equal shifting;
a n = 0, a 0 – rectilinear zі zminnim prikorennyam;
a n = const, a = 0 – equal by number
a n = const, a = const– equally variable by call
a n const, a const- curvilinear change of speed.
Obertal ruh of the solid body.
Obertal ruh of a solid body like an indestructible axis - Ruh, when all the points of a solid body describe a stake, the centers of which lie on one straight line, visyu wrap.
Rivnomirny Rukh on the stake
Let's look at the simplest form of the overt rhu, and pay special attention to the pre-central acceleration.
In equal Russia, according to the count, the value of the speed is permanent, and directly the vector of speed 
change in the process.
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For an hour interval ∆
t safely pass the way |
. Tsey way dovzhinyu dozhina arc AB. Stock vectors 
і 
at points Aі B straightening along dotichnyh to the stake at these points, and kut
between vectors 
і 
dorivnyuє kuta mizh radii OAі OB. We know the difference of vectors 
and significantly change the speed to ∆
t:
Z similar trikutnikov OAB and BCD viplivaє
If the hour interval ∆t is small, then small is also . With small values of the cuta, the length of the chord AB is approximately the length of the length of the arc AB, then. 
. Because 
,
, then we take
.
Oskilki 
, then we take
Period and frequency
The interval of an hour, for which body it is necessary to create a new turnover for an hour, the turn of the clock, is called period of the slaughter (T). Because dovzhina kola is expensive 2 R, the period of obіgu with equal Russian tіla zі shvidkіst v on the stake with a radius R dorivnyuє:
The value that is reversed before the period of the winter is called frequency. The frequency shows the number of wraps by the number of body for one hour:
(of 1)
Shvidkist is one of the main characteristics. Vaughn expresses the very essence of ruhu, tobto. signifies that vіdmіnіst, yak є mіzh with a body unbreakable and a body that is collapsing.
Alone vimiryuvannya swidkost in the system І є m/s.
It is important to remember that speed is a vector quantity. The vector of speed is straight ahead. The vector of fastness of directing along dotichny to the trajectory at that point, through the yak to pass the body that collapses (Fig. 1).
For example, we look at the wheel of a car that is collapsing. The wheel wraps around, and all points of the wheel collapse on the stakes. The breeze that spills out of the wheel, fly along the line to the tsikh kіl, showing the direction of the vectors in the springs around the wheel's point.
In this way, the speed characterizes directly the movement of the body (directly the speed vector) and the speed of its movement (modulus of the speed vector).
Negative swedishness
What can the speed of the body be negative? Yes, you can. If the rigidity of the body is negative, it means that the body is collapsing in a straight line, to the opposite direction of the coordinate axis of the chosen system in the direction. Figure 2 shows a bus and a car. The speed of a car is negative, and the speed of a bus is positive. Keep in mind that, speaking about the sign of speed, we can use the projection of the speed vector onto the coordinate axis.
Rivnomіrny and nerіvnomіrny Rukh
Zagalom shvidkіst lie down at the hour. Due to the nature of the fallow, dryness at the hour, ruh becomes equal and uneven.
DESIGNATION
Rivnomirny Rukh- the church from the guardianship module behind the module.
In times of uneven movement, talk about:
Apply the solution of problems on the topic "Shvidkіst"
BUTT 1
| manager | The car passes half of the time between two settlements with speed of 90 km/year, and the other half – with speed of 54 km/year. Find out the average speed of the car. |
| Solution | It would be wrong to calculate the average speed of a car as the arithmetic mean of two values of speed. Speeding up the appointment of the average speed: Shards are transferred in a straight line equally, vector signs can be omitted. Hour, car driving for the passage of the entire amount of air: de - hour, staining on the passage of the first half of the stake, and - hour, staining of the passage of the other half of the stake.
Sumarne relocation is more expensive between populated areas, tobto. . Substituting the average speed formula, we take into account: Let's transfer the speed on okremih plots to the CI system: Average vehicle speed:
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| Vidpovid | The average speed of a car is 18.8 m/s |
(m/s)BUTT 2
| manager | The car drove 10 seconds from a speed of 10 m/s, and then drove another 2 speeds from a speed of 25 m/s. Calculate the average speed of the car. |
| Solution | Let's kill the little ones. |