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A block is kept on a rough horizontal pl...

A block is kept on a rough horizontal plank. The coefficient of friction between the block and the plank is `1/2`. The plank is undergoing SHM of angular frequency 10 rad/s. The maximum amplitude of plank in which the block does not slip over the plank is (g= 10 m/`s^(2)`)

Text Solution

Verified by Experts

Maximum acceleration in SHM is `a_("max")= omega^(2)A` this will be provided to the block by friction. Hence, `a_("max")= mug` or `omega^(2)A=mug`
or `a= (mug)/(omega^(2))= (((1)/(2))(10))/((10)^(2))= 0.05 m= 5cm`
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