A rigid body rotates about a fixed axis with variable angular velocity equal to alpha-beta, at the time t, where alpha,beta are constant. The angle through which it rotates before its stops

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 alpha-beta, at the time t, where alpha,beta are constant. The angle through which it rotates before its stops
Answer» `(alpha^(2))/(2beta)` `(alpha^(2)-beta^(2))/(2 alpha)` `(alpha^(2)-beta^(2))/(2 beta)` `((alpha-beta)alpha)/(2)` SOLUTION :`OMEGA = alpha - beta t` Comparing with `omega = omega_(0) - alpha t` INITIAL ANGULAR velocity `= alpha` Angular retardation `= beta` `:.` Angular rotated before it STOPS `alpha^(2)` `0=alpha^(2)-2 beta thetarArr theta =(alpha^(2))/(2beta)`.