A rigid body rotates about a fixed axis with a variable angular velocity equal to an at time t time where a and b are constants. The angle through which it rotates before it comes to stop is:
Finding the angular displacement
As we know, angular velocity is
But when the body stops rotating, its angular velocity is zero.
From equations 1 and 2 we get,
Therefore, the angle through which it rotates before it comes to stop is .