Question 1 :
In a uniform circular motion, the magnitude and direction of velocity at different points remain the same.

Question 2 :
The total energy of a particle that moves along a circular path in vertical plane is:<br/>

Question 3 :
In uniform circular motion, the velocity vector and acceleration vector are:

Question 4 :
A 60-kg person on a merry-go round is travelling in a circle with a radius of $3 \ m$ at a speed of $ 6 \ m/s$. What is the magnitude of the net force experienced by this person?

Question 5 :
A body crosses the topmost point of a vertical circle with critical speed. What will be its centripetal acceleration when the string is horizontal:

Question 6 :
Which of the following quantity remains constant in a uniform circular motion?<br>

Question 7 :
(1) : In uniform circular motion the kinetic energy of the body is constant.<br/> (2) : In uniform circular motion the tangential force is zero.<br/>

Question 8 :
Circular Motion can be an example of periodic motion. <div>State whether the given statement is True or False.</div>

Question 9 :
Consider the following two statements A and B and identify the correct option:<br/>A) When a rigid body is rotating about its own axis at a given instant, all particles of body possess same angular velocity.<br/>B) When a rigid body is rotating about its own axis, the linear velocity of a particle is directly proportional to its perpendicular distance from axis.<br/>

Question 10 :
In a uniform circular motion, the angle between the velocity and acceleration is :

Question 11 :
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in the plane. It follows that

Question 12 :
(1):In uniform circular motion, tangential acceleration is zero.<div>(2) : In uniform circular motion, velocity is constant.<br/></div>

Question 15 :
Uniform Circular Motion refers to a motion of an object in a circle at a constant _________.

Question 16 :
An athlete completes one round of a circular track of radius $R$ in $40$ seconds. What will be his displacement at the end of $2$ minute $20$ seconds?

Question 17 :
The order of magnitude of revolution period of the earth around the sun is

Question 18 :
Which of the following quantities may remain constant during the motion of an object in a circular path?<br/>

Question 20 :
A particles revolves along a circle with a uniform speed. The motion of the particle is ____ .

Question 21 :
Find the angle between the vectors of the angular velocity and the angular acceleration at $t=10.0\:s$

Question 22 :
In uniform circular motion, direction of velocity goes on changing continuously, however the <span>magnitude of velocity is constant. </span>

Question 23 :
Angle between velocity and acceleration vectors in the following cases are given below. Match the correct pairs.<br/><div><span> List I List II </span><table class="wysiwyg-table"><tbody><tr><td><span>a) Vertically projected<br/>body<br/></span></td><td>e) $90^{0}$</td></tr><tr><td><span>b) For freely dropped<br/>body<br/></span></td><td><span>f) changes from<br/>point to point<br/></span></td></tr><tr><td><span>c) For projectile<br/></span></td><td>g) zero</td></tr><tr><td><span>d) In uniform circular<br/>motion</span></td><td>h) $180^{0}$</td></tr></tbody></table></div>

Question 25 :
Assertion: To move a body uniformly in a circular path, an external agent has to apply a force. Reason: To more a body uniformly in a circular path, an external agent has to do work.

Question 26 :
A particle is moving in a horizontal circle with constant speed. It has constant <br>

Question 27 :
A particle of mass m is tied to a string of length L. The free end of the string is fixed and the particle is whirled in a circular path. The speed of the particle increases from 5 m/s to 10 m/s for 5 secs. The motion is

Question 29 :
If a particle is rotating with an angular velocity $\omega$ and angular acceleration $\alpha$, then ,

Question 30 :
Assertion: A body with constant acceleration always moves along a straight line. Reason: A body with constant acceleration may not speed up.

Question 31 :
A disc rotates about its axis with a constant angular acceleration of $4$ rad$/s^2$. Find the radius tangential accelerations of a particle at a distance of $1$ cm from the axis at the end of the second after the disc starts rotating.

Question 32 :
Velocity of a particle varies as $\vec{V}=y\hat{i}-x\hat{j}$ under the effect of a single variable force. Then<br/>

Question 33 :
A wheel is making Revolution about axis with uniform angular acceleration, Starting from rest, it reaches $100\ rev/sec$ in $4\ seconds$. Find the angular rotated during these four seconds.

Question 34 :
A particle moves in a circle of the radius $25cm$ at two revolutions per second. The acceleration of the particle in $m/{sec}^{2}$ is

Question 35 :
A merry-go-round, made of a ring-like platform of radius R and mass M. is revolving with angular speed $\omega$? A person of mass M is standing on it. At one instant., the person jumps off the<br>round, radially away from the center of the round (as seen from the round). The speed of the round afterwards is:

Question 36 :
A wheel has moment of inertia $10^{-2} kg-m^2$ and is making 10 rps. The torque required to stop it in 5 secs is

Question 38 :
Assertion: Work done by friction force in case of pure rolling,is equal to change in rotational energy. Reason: Ratio of kinetic energy of rotation to kinetic energy of translation is fixed for every case.

Question 39 :
A particle has initial velocity, $\displaystyle \vec{v}=3\hat{i}+4\hat{j}$ and a constant force $\displaystyle \vec{F}=4\hat{i}-3\hat{j}$ acts on it. The path of the particle can be:

Question 40 :
When a force $F_1$ acts on a particle, frequency $6$Hz and when a force $F_2$ acts, frequency is 8 Hz. What is the frequency when both the force act simultaneously in same direction?