Instantaneous Center of Zero Velocity Consider the following

Instantaneous Center of Zero Velocity: Consider the following diagram that shows three rigid-bodies simply connected by pins. Body AB is rotating about the pin at A and body C is confined to the horizontal slot. At the particular moment show body AB has a constant angular acceleration, alpha_ AB = -0.3 rad/s^2, and an angular velocity, (t)_ ab = 6.0 rad/s. Given an x-y coordinate system centered on pin A, determine the (x, y) coordinate position of the Instantaneous Center of Zero Velocity, IC for body BC.

Solution

Solution:

Here for given case :

Movement of Body C is horizontal, hence velocity vector will be horizontal through C.

Body BC is rotating clockwise with respect to anti-clockwise rotation of body AB & Vbc will act tangent of body BC

and intersection of both velocity vector will occur at point C only.

Therefore centre of zero velocity & I for body BC is at joint C (permanent but not fixed).