A rigid body rotates about a fixed axis with variable angular velocity equal to (a - bt) at time t where a and b are constants. The angle through which it rotates before it comes to rest is

A rigid body rotates about a fixed axis with variable angular velocity

1.	A rigid body rotates about a fixed axis with variable angular velocity equal to (a - bt) at time t where a and b are constants. The angle through which it rotates before it comes to rest is
Answer» `(a^(2))/(b)` `(a^(2))/(2B)` `(a^(2))/(4B)` `(a^(2))/(2b^(2))` Solution :`omega = a - bt` (Given ) At time t = 0 , `omega = omega_(0) = a` `alpha = (d omega)/(dt) = (d )/(dt) "" (a- bt) = -b` `omega^(2) = omega_(0)^(2) + 2 alpha theta` If `omega` is zero , `THEREFORE 0 = omega_(0)^(2) + 2alpha theta or theta =- (omega_(0)^(2))/(2alpha) = (a^(2))/(2b)`