Uniform Circular Motion

Q.

When two mutually perpendicular simple harmonic motions of same frequency, amplitude and phase are superimposed

1. The two S.H.M's will cancel each other.

2. The resulting motion is a linear simple harmonic motion along a straight line inclined equally to the straight lines of motion of component ones.

3. The resulting motion is an elliptical motion, symmetrical about the lines of motion of the components.

4. The resulting motion is uniform circular motion.

Q. initially mass m is held such that spring is in relaxed condition if mass m is suddenly released , maximum elongation in spring will be

Q. 11.If the units of force , energy and velocity are 10N , 100 J AND 5 m/s then the units of length , mass and time will be??

Q. 19.A body is projected vertically upwards with a speed of root(GM/R) (M is mass and R is radius of earth). The body will attain a height of (1)R/2 (2)R (3)5R/4 (4)3R/2

Q. A window is 50cm long. A stone is falling from a height of 40cm above the window. It crosses the window in how many seconds?

Q.

A motor cyclist going round in a circular track at constant speed has

1. Constant force

2. Constant acceleration

3. Constant angular velocity

4. Constant linear velocity

Q.

Two bodies are projected simultaneously with the same velocity of 19.6 m/s from the top of a tower , one vertically upwards and the other vertically downwards. As they reach the ground, the time gap is

Q. 150 A particle is projected vertically upwards from a point A on the ground. It takes T1 time to reach a point B but still continues to move up. If it takes further T2 time to reach the ground from point B then height of point B from ground is?

Q. A ball projected from ground vertically upward is atsame height at time t1and t2.The speed ofprojection of ball is \lbrack Neglect the effect of airresistance\rbrack (1)g(t2-t1) (2)g(t1+t2)/2 (3)g(t2-t1)/2 (4) g(t1+ t2)

Q. A ball is projected vertically up from the foot of the tower of height 100 metre with a velocity of 40 metre per second. At the same instant another ball is dropped from the top of the tower. When and where do they meet each other?

Q. initially mass m is held such that spring is in relaxed condition .if the mass m is brought down slowly , then maximum elongation in spring will be

Q. A car is going round a circle of radius r1 with cons†an t speed another car is going round a circle of radius r2 with cons†an t speed if both of them take same time to complete the circles the ratio of their angular speeds and linear speeds will be

Q. For an object projected from ground with speed u horizontal range is two times the maximum height attained by it. The horizontal range of the object is

Q. 5. A particle is thrown vertically upward from the ground such that, it passes through the same point at t=4s and t=9s.Find height of the point from the ground.[Take g=10m/s2]

Q.

The acceleration of the particle performing uniform circular motion is

1. 

2. 

3. 

4. 

Q.

A car moves on a circular path of radius 10 metre. It complete 5 revolution in 5 minute. What is its average speed?

1. 

2. 

3. 

4. 

Q. A particle is performing circular motion in a circle ofradius R in such a way that at every momentmagnitude of its tangential and radial acceleration isequal. If initial velocity of particle is va then time periodof 1st revolution is

Q. The figure shows a block of mass M, attached to an uncompressed spring of spring constant k, resting on a frictionless surface. A bullet of mass m, travelling with a constant horizontal velocity v hits the block and gets embedded inside. What is the maximum compression of the spring?

Q. The position of a particle along a straight line is given by s=(t^3 -9t^2+15t)m, where t is in seconds.(1) Velocity of the particle changes its directionfirst time at t =2 s(2) Velocity of particle changes its direction second time at t =3 s(3) The distance travelled by the particle in 0-6s is 46 m(4)The average velocity of the particle in 0-6s in -3ms^{-1}

Q. How angular velocity is equal to 2π/T

Q.

Assume that the earth goes round the sun in a circular orbit with a constant speed of 30 km/s. Then,

1. The average velocity of the earth from 1st Jan, 90 to 30th June, 90 is zero

2. The average acceleration during the above period is 60 km/s²

3. The average speed from 1st Jan, 90 to 31st Dec, 90 is zero

4. The instantaneous acceleration of the earth points towards the sun.

Q.

The driver of a car travelling at velocity $v$ suddenly see a broad wall in front of him at a distance $d$. He should

1. Turn sharply

2. (a) and (b) both

3. None of the above

4. Brake sharply

Q. a car is moving at a speed of 20 m/s on a circular track of radius 100 m. this speed is increasing at a rate of 3 m/s^2 the acceleration of car is

Q. a particle is projected vertically upward from the top of a 80m high building with a speed 30m/s time taken by the particle yo reach the ground

Q. two balls are thrown horizontally from top of a building with speed u1 and u2 respectively in opposite directions . The sepration between two balls when they are moving perpendicular to each other is?( acceleration due to gravity is g

Q. 5.A ball is allowed to fall from top of a building. If t, istime taken to fall first one fourth th of its height and t, is timetaken to fall last one fourth th of its height then,

Q. A body A is dropped from the top of a tower. If another identical body B is projected horizontally from the same point at the same instant, then (1) Both A and B will reach the ground simultaneously (2) A will reach the ground earlier than B (3) B will reach the ground earlier than A (4) Time of fall depends on their masses

Q. A body is moving in a circular path with a constant speed if it has

1. a constant velocity.
2. a constant acceleration
3. an acceleration of constant magnitude.
4. an acceleration which varies with time in magnitude.

Q. A heavy stone is thrown from a cliff oh height h with speed v. The stone ill hit the ground with maximum speed if it is thrown :

Q. Suppose a vertical tunnel is along the diameter of earth, assumed to be a sphere of uniform mass density p. If a body of mass m is thrown in this tunnel, its acceleration at a distance y from the centre is given by a) (4pi/3)Gpym b) (3pi/4)Gpym c) (4pi/3)py d) (4pi/3)Gpy