Two blocks A and B of mass 2 kg and 4 kg are placed one over the other. A horizontal force F = 2t, which varies with time is applied on the upper block. If coefficient of friction between blocks A and B is 0.5 and horizontal surface is smooth. Then assuming t is in seconds, the total time upto which both blocks will move together without slipping over each other is -
Text Solution
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If common maximum acceleration is a
then,
(m A + m B ) a = f
(2 + 4) a = 2t
3a = t … (1)
For block B
f L = m B × a
0.5 × 2 × 10 = 4a
a = 2.5 m/s 2 From equation (1)
t = 7.5 sec
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