Question 1 :
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 2 :
The order of magnitude of revolution period of the earth around the sun is
Question 3 : <div>State whether true or false.<br/></div>A particle rotating in a circular path may have constant speed but velocity changes continuously.
Question 4 :
A particle is moving along a circle with uniform speed. The physical quantity which is constant both in magnitude and direction, is<br>
Question 5 :
If a particle moves in a closed path with a constant speed of 10 m/s, we can always say, that there will be a change in velocity.
Question 6 :
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 7 :
(1) : When a rigid body is rotating about its own axis, all particles of that body have the same angular velocity.<br/> (2) : All particles of the body have the same time period.<br/>
Question 8 :
In a uniform circular motion, the magnitude and direction of velocity at different points remain the same.
Question 9 :
Suppose a boy is enjoying a ride on a merry-go-round which is moving with a constant speed of $10\ ms^{-1}$. It implies that the boy is :<br/>
Question 10 :
Is it possible to have an accelerated motion with a constant speed? Name such type of motion.<br>
Question 12 :
(1) : When a rigid body is rotating about its own axis, all particles of that body have the same angular velocity.<br/> (2) : All particles of the body have the same time period.<br/>
Question 14 :
Assertion(A): In uniform circular motion the particle has zero acceleration.<br/>Reason (R) : Centripetal force is essential to keep a particle in circular motion.<br/>
Question 15 :
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 16 : Circular Motion can be an example of periodic motion. <div>State whether the given statement is True or False.</div>
Question 17 :
The average acceleration vector for a particle having a uniform circular motion in one complete revolution.
Question 18 :
A particles revolves along a circle with a uniform speed. The motion of the particle is ____ .
Question 19 :
(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 20 :
Which one of the following is most probably not a case of uniform circular motion?
Question 21 :
Uniform circular motion is called continuously accelerated motion mainly because its :
Question 22 :
Uniform Circular Motion refers to a motion of an object in a circle at a constant _________.
Question 23 :
Which one of the following is most probably not a case of uniform circular motion?
Question 25 :
The angular displacement of a particle is given by $\theta =t^{3}+t^{2}+t+1$ then, its angular velocity at $t = 2$ sec is _____ $rads^{-1}$ :<br/>
Question 26 :
Which of the following quantity remains constant in a uniform circular motion?<br>
Question 27 : Circular Motion can be an example of periodic motion. <div>State whether the given statement is True or False.</div>
Question 29 : (1):In uniform circular motion, tangential acceleration is zero.<div>(2) : In uniform circular motion, velocity is constant.<br/></div>
Question 31 :
A particle moves with a uniform speed of 5 m/s in a circular path. If the speed increases to 8 m/s in the 20th second. The motion of the particle in the 22nd second will be
Question 32 :
A body $A$ is moving in a straight line with a constant speed of $10 {ms}^{-1}$. Another body $B$ having same mass as that of $A$ is moving in a circular path with a constant speed of $10 {ms}^{-1}$. The correct statement related to their acceleration is
Question 33 :
A motor of an engine is rotating about its axis with an angular velocity of $100$ rev/min . It comes to rest in $15$ s, after being switched off. Assuming constant angular deceleration, calculate the number of revolutions made by it before coming to rest.
Question 35 :
A fan is running at $3000\ rpm$. It is switched off. It comes to rest by uniformly decreasing its angular speed in $10\ seconds$. The total number of revolutions in this period.
Question 36 :
When a body moves with a constant speed along a circle:
Question 37 :
If Kinetic energy is expressed as $mv^2/2$ for a particle undergoing uniform velocity motion, How is the kinetic energy expressed in case of the same particle, if it was rotating:
Question 38 :
The roadway bridge over a canal is in the form of an arc of a circle of radius $20\ m$. What is the maximum speed with which a car can cross the bridge without leaving the ground at the highest point.
Question 39 :
A point starts from rest and moves along a circular path of radius $20\ cm$ with a constant tangential acceleration of $5\ cm/s^{2}$. The time needed for the centripal acceleration of the point to be equal to its tangential acceleration is:<br>
Question 40 :
For a particle in uniform circular motion the acceleration $\vec{\mathrm{a}}$ at a point $\mathrm{P}(\mathrm{R}, \theta)$ on the circle of radius $\mathrm{R}$ is (here 'v' is the speed of the particle and $\theta$ is measured from the x-axis) <br/>
Question 41 :
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 42 :
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 43 :
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?
Question 44 :
When seen from below , the blades of a ceiling fan are seen to be revolving anticlockwise and their speed is decreasing. Select correct statement about the direction of its angular velocity and angular acceleration.
Question 45 :
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
