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Syllabus

Prove that newton's second law of motion is the real law

(g = 10m/${s}^{2}$). Select the correct statements.

(A) Acceleration of block A, B and C are 1 m/${s}^{2}$, 3 m/${s}^{2}$and 5 m/${s}^{2}$ respectively

(B) Contact force between B & Ground is 350 N

(C) Tension in string 30N

(D) Contact force between 'B' and 'C' is 15 N

State and prove law of conservation of linear momentum

(a) 5/2 mg (b) 5/3 mg (c) 5/4 mg (d) None of these

Friction is a necessary evil.Explain

The velocity of Van is given as :

v = (9t - t

^{2}+10) m/s, where t is in secondCoefficient of friction between the wall of van and block of m kg is u. The block is at rest w.r.t. van initially. The friction time graph between block and van is given as (g = 10 m/s

^{2}).(A) The value of mass of block is 10 kg

(B) The coefficient of friction (u) is 2

(C) The acceleration of block at t = 3 sec is 5 m/sec.

^{2}(D) The coefficient of friction (u) is 1

in formula F=DP/DT, d stands for what?

State and prove the conservation of angular momentum.

A particle of mass

mmoves with constant speedvon a circular path of radiusr. Find the magnitude of average force on it in half revolution.Two balls A and B are thrown simultaneously ,A vertically upwards with a speed of 20m/s from ground,and B vetically downwards from a height of 40 m with the same seed and along the same line of motion . At what points do the two balls collide ?

$A)\frac{10}{3}m/{s}^{2}B)\frac{7}{3}m/{s}^{2}C)0.5m/{s}^{2}D)1.0m/{s}^{2}$

A cricket ball of mass 150g is moving with a velocity of 12m/s and is hit by a bat, so that the ball is turned back with a velocity of 20m/s. The force of the blow acts for 0.01s on the ball. Find the average force exerted by the bat on the ball.

what are the limitations of dimensional analysis?

1. Two blocks of masses 20 kg and 50 kg are lying on the horizontal floor (coefficient of friction $\mu $ =0.5). initially staring is stretched and blocks are at rest. Now two forces 300 N and 150 N is applied on two blocks as shown in figure. The acceleration of 20kg block is 2.5 K m/s

^{2}. Find the value of K.

Find the value of T1 and T2 for the system shown in figure.

A machine gun has a mass of 20kg. It fires 30g bullets at the rate of 400 bullets per second with a speed of 400 m/s. What force must be applied to the gun to keep it in position ?

1. A particle is projected from ground in vertical direction at t = 0. At t = 0.8s, it reaches h = 14 m. It will again come to same height at t =

$a.\frac{{u}^{2}}{b}{\mathrm{tan}}^{2}\theta se{c}^{2}\theta \phantom{\rule{0ex}{0ex}}b.\frac{{u}^{2}}{b}{\mathrm{tan}}^{3}\theta \phantom{\rule{0ex}{0ex}}c.\frac{{u}^{2}}{b}\mathrm{tan}\theta se{c}^{2}\theta \phantom{\rule{0ex}{0ex}}d.zero$

28. If pulleys shown in the diagram are smooth and massless and a

_{ 1}and a2 are acceleration of blocks of mass 4 kg and 8 kg respectively, then(a) a

_{1}= a_{2}(b) a

_{1}= 2a_{2}(c) 2a

_{1}= a_{2}(d) a

_{1}= 4a_{2}show that for two complementary angles of projection of a projectile thrown with thw same velocity. the horizontal ranges are equal

Find the value of T1 and T2 if the weight is 600 N

prove Lami's theorem.

a block A of mass4 kg is placed on another block B of mass 5kg B rests on smooth table for sliding block A onB a horizontal force of 12 N is required to be applied on A how much max force can be applied on Bso that both A andB move together

A pendulum is suspended from the ceiling of a car. If the car accelerates on a level ground, then the pendulum deflects opposite to the acceleration of the car. Explain.

Question: On an object of mass 1 kg moving along x-axis with constant speed 8m/s, a constant force 2 N is applied in positive y- direction. Find its speed after 4 seconds.

Please explain how to solve the above question. The answer is 8√2m/s.

^{18}atoms .the half life of the material is 2000 days.calculate1.the fraction remaining after 5000 days

2. the activity of the sample after 5000 days

a block of mass m is placed on a smooth wedge of inclination theta.the whole system is acclerated horizontally so that the block has a magnitude equal to???

pls ans fast. it's urgent. .

A Spring Of Force Constant k is cut into two pieces , such that one piece is doubled the lengthof other . Then the long piece will have a constant of...................?

why cricket player lowers his hands while catching a cricket ball?

derive an expression for banking of road with the help of diagram?

why wheels are made circular in automobiles?

A rubber ball of mass 100 g falls from a height of 1m and rebounds to a height of 40 cm.Find the impulse and the average force between the ball and the ground, if time during which they are in contact was 0.1 sec.

1) 10root3 m /s

2) 20root m/s

3) 40/root3 m/s

4) 40 m/s

Why is pulling a lawn roller easier than pushing it?

_{1}, m_{2}and M are 20 kg, 5kg and 50 kg respectively. The coefficient of friction between M and ground is zero. The coefficient of friction between ${m}_{1}andM$ and that between m_{2}& ground is 0.3. The pulleys & the string are massless. The string is perfectly horizontal between P_{1}& m_{1}and also between P_{2}& m_{2}. The string is perfectly vertical between P_{1}& P_{2}. An external horizontal force F is applied to the mass M. [ Take g = 10 m/s^{2}]a) Draw a free-body diagram for mass M, clearly showing all the forces.

b) Let the magnitude of the force of friction between m

_{1}and M be f_{1 }and that between m_{2}and ground be f_{2}. For a particular F it is found that f_{1}= 2f_{2}. Find f_{1}and f_{2}Write down equations of motion of all the masses. Find F, tension in the string and accelerations of the masses.a stone is dropped from a height h . it hits the ground with a certain momentum P . if the same stone is dropped from a height 100% more than the previous height , the momentum when it hits the ground will change by ??

_{1}= 300 N. Then W_{2}is approximately equal to(A) 500 N (B) 400 N (C) 670 N (D) 300 N

How is a friction is a necessary evil?

^{2}, then the acceleration of 2 kg block is(1) 1 m/s

^{2}(4) 3 m/s^{2}(3) 4 m/s^{2}(4) 2 m/s^{2}trajectory it splits into three segments of masses m, m and 2m. First part falls vertically

downward with zero initial velocity and second part returns via same path to the point of

projection. The velocity of third part of mass 2m just after explosion will be

a) U cos theta b) 3/2 u cos theta c) 2u cos theta d) 5/2 u cos theta

46. The speed-time graph for the motion of a motorcycle is shown here. What is the average speed over 12 s interval ?

A. 4.38 m s

^{-1}B. 5.58 m s

^{-1}C. 1.75 m s

^{-1}D. 3.17 m s

^{-1 }Q=A ball of mass 20 g hits a wall at an angle of 45^{o}with a velocity of 15 m/s.If the ball rebound at 90^{o}to the direction of incidence ,calculate the impulse received by the ball.A thin ring, a disk and an annular cylinder, of same mass M, are released from a point 3.6 m from the ground up an inclined plane of 30

^{o}inclination. The ring and the disk have the same radius R. For the annular cylinder, the outer radius is R and the inner radius is R/2. Times taken by the ring, disk and annular cylinder, respectively, to reach the ground are in the ratio,1.√2 :√1.5 :√1.6

2. √1.4 :√1.5 : √2

3.√2 :√1.5 :√1.5

4.√1.4 :√1.5 :√1.6

define angle and coefficient of friction and find the relationship b/n them.

plane as shown. The friction coefficient between the surface and the

cube is 0.4. An external force $\overrightarrow{F}$ = 6$\hat{i}$ + 8$\hat{j}$ + 20$\hat{k}$ N is applied on the cube.

(use g = 10 m/${s}^{2}$)

(A) The block starts slipping over the surface

(B) The friction force on the cube by the surface is 10 N.

(C) The friction force acts in xy-plane at angle 12$7\xb0$ with the positive

x-axis in clockwise direction.

(D) The contact force exerted by the surface on the cube is 10$\sqrt{10}$N.

A man falls on a cemented floor and a man falls on a heap of sand who will get more hurt & why?

ABCDEF is a regular hexagon,,, Prove that AB + AC + AD + AE + AF = 6AO.

(direction sign {--} is present on the top of AB , AC,AD,AE,AF and 6AO)

5. (iii) Two light strings are knotted at point P, is pulled downward through a string by applying a force F of

25 N.

1. A block of mass 10kg is sliding on a surface inclined at a angle of 30

^{0}with the horizontal. Calculate the acceleration of the block. The coefficient of kinetic friction between the block and the surface is 0.5?how to solve this question with figure 3 blocks r connected together like on a horizontal frictionless table pulled to right with a force=50n if m1=5kg, m2=10kg, m3=15kg. find tension t1 and t2.

2. two masses of 7kg and 12kg r connectd at two end of light inextinsible string that goes over frictionless pulley. find acceleration of mass and tension on the string

The figure shows an L shaped body of mass M is placed on smooth horizontol surface. The block A is connected to the body by means of an inextensible string, which is passing over a smooth pulley of neglegible mass. Another block B of mass m is placed against a vertical wall of the body. Find the minimum value of the acceleration of block A so that block B remains stationary relative to the wall. Coefficient of friction between the block B and the vertical wall isµ=2. (g=10m/s^{2})prove that impulse is equal to the change in momentum

A 1000 Kg engine pulls a train of 4 wagons each of 2500 Kg along a horizontal railway track. If the engine exerts a force of 50000 N on wagons and tyrack offers force of friction 10000 N, then calculate the:

a) Net accelarating Force

b)Accelaration of the train

c)The force of Wagon-1 on Wagon-2

why friction is called a necessary evil?

the motion of a particle of mass m is described by y = ut + 1/2 gt

^{2}. find the force acting on the particlewhat is normal reaction force?

^{2}towards right. The acceleration of 20 kg mass at this instant is:-a) 12 m/s

^{2}b) 4 m/s

^{2}c) 10 m/s

^{2}d) Zero

a box of mass 4kg is placed on a wooden plank of length 1.5 m which is lying on the ground. the plank is lifted from one end along its length so that it becomes inclined. it is noted that when the vertical height of the top end of the plank from the ground becomes 0.5m the box begins to slide find the coefficient of friction between the boxes the plank.

1. prove that angle of repose is equal to angle of friction

2. prove that 2nd law of motion is the real law of motion. (what is real law of motion)

state the triangle law of vector addition and the parallelogram law of addition of vectors.

Q2. In the given figure pulley is moving with an acceleration a

_{0}in upward direction, acceleration of block A with respect to pulley is(A) $\frac{1}{3}\left(\mathrm{g}+{\mathrm{a}}_{0}\right)\uparrow $ (B) $\frac{1}{3}\left(\mathrm{g}-{\mathrm{a}}_{0}\right)\uparrow $

(C) $\frac{\mathrm{g}+{\mathrm{a}}_{0}}{2}\uparrow $ (D) $\left(\frac{\mathrm{g}-{\mathrm{a}}_{0}}{2}\right)\uparrow $

Q3. In the above question, thension in string is

$\left(\mathrm{A}\right)\frac{4}{3}\mathrm{m}\left(\mathrm{g}+{\mathrm{a}}_{0}\right)\left(\mathrm{B}\right)\frac{4}{3}\mathrm{m}\left(\mathrm{g}-{\mathrm{a}}_{0}\right)\left(\mathrm{C}\right)\frac{4}{3}\mathrm{mg}\left(\mathrm{D}\right)\frac{2\mathrm{mg}}{3}$

Two blocks of masses 2 kg. and 1 kg. are in contact with each other on a frictionless table . When a horizontal force of 3 N is applied to the block of mass 2 kg. the value of the force of contact between the two block is :(1) 4 N (2) 3N (3) 5 N (4) 1 N

a circular race track of radius 300 m is banked at an angle of 15

^{0}. if the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the (i) optimum speed of the race car to avoid wear and tear on its tyres (ii) maximum permissible speed to avoid slipping ?plz experts help me out..............

a ball of mass m moves normal to a wall wid velocity u and rebounds wid velocity v the change in momentum of the ball during rebounding is?

a/ m(u+v ) towards the ball

b/ m(u-v ) towards the ball

c/ m(u+v) away frm the ball

d/ m(u-v away frm the ball

a block of mass 2 kg rests on a rough inclined plane making an angle 30degrees with the horizontal . the coeffecient of static friction between the block and the plane is 0.7 . the frictional force on the block is??

A costant force F=20N acts on a block of mass 2kg which is connected to two blocks of masses m1=1 kg and m2=2 kg.Calculate the accelerations produced in all the three blocks.Assume that pulleys are frictionless and weightless.

a body constrained to move along the z axis of a coordinate system is subjected to a constant force F = ( -i +2j +3k) N . what is the work done by the force in moving the body over a distance of 4 m along the z axis.

A child suspends a steel disc in a vertical plane by means of a thread.Then he shoots bullets on the disc by a toy gun.If mass of each bullet be 2g and the bullet striking the disc with a velocity of 11 m/s is returning with same velocity then what average force is being exerted on disc?The child is firing 3 bullets per second.

^{2}) :-a) 760 N

b) 1360 N

c) 1580 N

d) 1620 N

Kindly answer sir/mam.