Question 2 :
Which parameters of all the particles of rotating fan are same :-

Question 3 :
The angular velocity ($\omega$ of a particle is related to the linear velocity$v$ of the particle moving in a circular motion or radius R using the formula

Question 4 :
A solid sphere is rotating in free space. If the&#160;radius of the sphere is increased keeping the mass&#160;same without applying any external force, which one of the following will not be&#160;affected?<br/>

Question 6 :
The angular rim of a wheel $400$ cm in diameter&#160;has a velocity of $1600 \ {cm s}^{&#8211;1}$. The angular velocity&#160;of the wheel is:<br/>

Question 7 :
$ \overrightarrow A $ and $ \overrightarrow B $ are two vectors. Now indicate the wrong statement in the following :-

Question 8 :
Single Correct Answer Type<br>A particle is moving along a circular path with uniform speed. Through what angle does its angular velocity change when it completed half of the circular path?<br>

Question 9 :
A particle with linear momentum of magnitude P is subjected to a force F= Kt (k &gt; 0) which is directed along the directed of initial momentum. The time which its liner momentum changes to 3P is :

Question 10 :
A car is moving at a speed of 72 Km/hour. The diameter of its wheels is 50 cm. If its wheels come to rest after 20 rotations as a result of the application of brakes, then the angular retardation produced in the car will be&#160;

Question 11 :
A constant torque acting on a uniform circular&#160;wheel changes its angular momentum from $L$ to $4L$ in $4$ seconds. The torque acting on it is:<br/>

Question 12 :
Which of following statements related to center of gravity is/are false?

Question 14 :
If the shaft of a flywheel has an angular speed of $120 \pi rad/s$, then the number of revolutions made by the flywheel per minute is:

Question 15 :
A billiard ball of mass $m$ and radius $r$, when hit in a horizontal direction by a cue at a height $h$ above its centre, acquired a linear velocity ${ v }_{ 0 }$. The angular velocity ${ \omega }_{ 0 }$ acquired by the ball is

Question 16 :
A grinding wheel attained a velocity of $20\ rad/sec$ in $5\ sec$ starting from rest. Find the number of revolutions made by the wheel.

Question 17 :
The velocity of a car travelling on a straight road is $36 kmh^{-1}$ at an instant of time. Now travelling with uniform acceleration for 10 s, the velocity becomes exactly double. If the wheel radius of the car is 25 cm, then which of the following numbers is the closest to the number of revolutions that the wheel makes during this 10 s?

Question 18 :
A cord is wound around the circumference of a bicycle wheel (without tyre) of diameter $1 &#160;m$. A mass of $2 &#160;kg$ is tied to the end of the cord and it is allowed to fall from rest. The weight falls $2 &#160;m$ in $4 &#160;s$. The axle of the wheel is horizontal and the wheel rotates with its plane vertical. The angular acceleration produced is:(take $g=10 &#160;ms^{-2}$)&#160;<br/>