Instantaneous Centre and Axis of Rotation|Rolling Motion

Assertion : Speed of any point on rigid body executing rolling motion can be calculated by expression v =r omega , where r is distance of point from intantaneous centre of rotation Reason : Rolling motion of rigid body can be considered as a pure rotation about instantaneous centre of rotation.

Instantaneous axis of rotation (IAOR)

GRBM Dynamics (torque equation about COM) | Problems of rolling on horizontal and inclined surface | Using instantaneous axis of rotation in writing torque equation and kinetic energy in GRBM

A disc is rolling without slipping with linear velocity v as shown in figure. With the concept of instantaneous axis of rotation, find velocities of point A, B, C and D.

A disc of radius 0.2 m is rolling with slipping on a flat horizontal surface, as shown in Fig. The instantaneous centre of rotation is (the lowest contact point is O and centre of disc is C )

Using the concept of instantaneous axis of rotation. Find speed of particle P as shown in figure, under pure rolling condition.

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 uniform rod of length l is given an impulse at right angles to its length as shown. Find the distance of instantaneous centre of rotation from the centre of the rod. .

Read each statement below carefully and state with reasons, if it is true ot false. (a) During rolling the force of friction acts in the same direction as the direction of motion of c.m of the body. (b) The instantaneous speed of the point of contact during rolling is zero. (c ) The instantaneous acceleration of the point of contact during rolling is zero. (d) For perfect rolling motion, work done against friction is zero. (e) A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion).