Questions based on Instantaneous axis of rotation (IAOR)

Locating IAOR

Questions based on kinematics of fixed axis of rotation

Rotational Motion - Instantaneous Axis Of Rotation

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.

Which of the following statements are correct for instantaneous axis of rotation?

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

A rotating disc moves in the positive direction of x -axis as shown. Find the equation y(x) describing the position of the instantaneous axis of rotation if at the initial moment the centre C of the disc was located at origin after which a. it moved with constant acceleration a (initial velocity zero) while the disc rotating anticlockwise with constant angular velocity omega . b. it moved with constant velocity v while the disc started rotating anticlockwise with a constant angular acceleration a (with initial angular velocity zero).

Constrained Motion-II (Instantaneous Axis OF Rotation)

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.

An impulse J = mv at one end of a stationary uniform frictionless rod of mass m and length l which is free to rotate in a gravity-free space. The impact is elastic. Instantaneous axis of rotation of the rod will pass through