Questions in rotational-motion

SelectQuestion
A rigid spherical body is spinning around an axis without any external torque. Due to change in temperature, the volume increases by 1%. Its angular speed
A uniform disc of mass $M$ and radius $R$ is rotating about a horizontal axis passing through its centre with angular velocity $\omega $. A piece of mass $m$ breaks from the disc and flies off vertically upwards. The angular speed of the disc will be
A particle undergoes uniform circular motion. About which point on the plane of the circle, will the angular momentum of the particle remain conserved
A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity $\omega $. Another disc of same dimension but of mass M/4 is placed gently on the first disc coaxially. The angular velocity of the system now is
A smooth sphere A is moving on a frictionless horizontal plane with angular speed $\omega $ and center of mass with velocity $v$. It collides elastically and head-on with an identical sphere B at rest. Neglect friction everywhere. After the collision, their angular speeds are ${{\omega }_{A}}$ and ${{\omega }_{B}}$ respectively. Then
A cubical block of side a is moving with velocity v on a horizontal smooth plane as shown. It hits a ridge at point O. The angular speed of the block after it hits O is
A stick of length $l$ and mass $M$ lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass m moving with speed $v$ collides elastically with the stick as shown in the figure. If after the collision ball comes to rest, then what should be the mass of the ball
In a playground there is a merry-go-round of mass 120 kg and radius 4 m. The radius of gyration is 3m. A child of mass 30 kg runs at a speed of 5 m/sec tangent to the rim of the merry-go-round when it is at rest and then jumps on it. Neglect friction and find the angular velocity of the merry-go-round and child
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass K. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be
In a bicycle the radius of rear wheel is twice the radius of front wheel. If ${{r}_{F}}\text{ and }{{r}_{r}}$ are the radii, $v_F$ and $v_r$ are speeds of top most points of wheel, then

View Selected Questions (0)

Back to Categories

Back to Home