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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)`)

A

4cm

B

5cm

C

10cm

D

16cm

Text Solution

Verified by Experts

The correct Answer is:
B
`a_(max)=omega^(2)A`, `a_(max)=mug` or `omega^(2)A=mug Rightarrow 10^(2)=(1)/(2)xx10 Rightarrow A=(1)/(20)m=5cm`
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