A block of mass m is kept on rough horizontal tum table at a distance r from centre of table. Coefficient of friction between turn table and block is `mu`. Now turn table starts rotating with uniform angular acceleration `alpha`.
Find the time after which slippping occurs between block and turn table

Options

A. `t= ((mu^(2)g^(2)-alpha^(2)r^(2))/(alpha^(4)r^(2)))^(1//4)`
B. `t= ((mu^(2)g^(2)-alpha^(2)r^(2))/(alpha^(4)r^(2)))^(1//3)`
C. `t= ((mu^(2)g^(2)-alpha^(2)r^(2))/(alpha^(4)r^(2)))^(1//2)`
D. `t= ((mu^(2)g^(2)-alpha^(2)r^(2))/(alpha^(4)r^(2)))`

Answer

A