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.

Which of the following statements is incorrect (A) Torque is the rotational analogue of force (B) Rolling motion of a cylinder down an inclined plane is combination of translational and rotational motion (C) If the effort arm is larger than the load arm, the mechanical advantage is lesser than one (D) For the extended body. centre of mass and centre of gravity do not coincide

A solid spherical ball of mass m is released from the topmost point of the shown semi - spherical shell. The track is sufficiently rough to enablle to enable pure rolling motion. The normal force between the ball and the shell at the lowest position is

Assertion : A uniform disc of radius R is performing impure rolling motion on a rough horizontal plane as shown in figur. After some time the disc comes to rest. It is possible only when v_(0) = (omega_(0)R)/(2) Reason : For a body performing pure rolling motion, the angular momentum uis conserved about any point in space.

Consider a sphere of mass 'm' radius 'R' doing pure rolling motion on a rough surface having velocity vec(v)_(0) as shown in the figure. It makes an elastic impact with the smooth wall and moves back and starts rolling after some time again.

Assertion : The total displacement moved by a point located on the periphery of a wheel of radius R in one revolution is 2 pi R. Wheel is rolling. Reason : In rolling motion of a wheel, every point on its periphery comes in contact with the surface once in one revolution.

A sphere of mass M and radius r slips on a rough horizontal plane. At some instant it has translational velocity V_(0) and rotational velocity about the centre (V_(0))/(2r) . The translational velocity when the sphere starts pure rolling motion is

A solid sphere of mass M and radius R is placed on a rough horizontal surface. It is stuck by a horizontal cue stick at a height h above the surface. The value of h so that the sphere performs pure rolling motion immediately after it has been stuck is

A uniform ring of mass m and radius R is performing pure rolling motion on a horizontal surface. The velocity of centre of the ring is V_(0) . If at the given instant the kinetic energy of the semi circular are AOB is lambda mv_(0)_(2) , then find the value of 11lambda ("take" pi=(22)/(7))