A cylinder is rolling without sliding over two horizontal planks (surfaces) `1` and `2`. If the velocities of the surfaces `A` and `B` are `-vhati` and `2vhati` respectively, find the:
a. Position of instantaneous axis of rotation.
b. Angular velocity of the cylinder.

A disc rolls without slipping on a horizontal surface such that its velocity of center of the mass is v . Find the velocity of points A , B , C and D .

A cylinder A rolls without slipping on a plank B.The velocities of center of the cylinder and that of the plank are 4m/s and 2m/s respectively in same direction,with respect to the ground.Find the angular velocity ( in rad /sec) of the cylinder if its radius is 1m .

A disc is rolling without sliding on a horizontal surface. Velocity of the centre of the disc is V . Then the maximum relative sped of any point on the circumference of the disc with respect to point P is.

A disc is rolling without sliding on a horizontal surface. Velocity of the centre of the disc is V . Then the maximum relative sped of any point on the circumference of the disc with respect to point P is.

A uniform disc of radius R rolls perfectly over two horizontal plank A and B moving with velocities v and 2v , spectively. Find the a. velocity of CM of the disc. b. angular velocity of the disc.

A uniform disc of radius R rolls perfectly over two horizontal plank A and B moving with velocities v and 2v , spectively. Find the a. velocity of CM of the disc. b. angular velocity of the disc.

A bobbin rolls without slipping over a horizontal surface so that the velocity v of the end of the thread (point A) is directed along the horizontal . A board hinged at point B leans against the bobbin (Fig.) The inner and outer radii of the bobbin are r and R respectively. Determine the angular velocity omega of teh board as a function of an angle alpha .