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Question

A block of mass 1 kg lying on floor is subjected to a horizontal force given by F=2sinωt. The coefficient of friction between the block and the floor is 0.25

A
acceleration of the block is positive and uniform
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B
acceleration of block depends on value of ω
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C
The block always remains at rest
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D
frictional force of magnitude 2.5 N acts at all time.
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Solution

The correct option is C The block always remains at rest
flim=μMg=2.5NF<flim
So block will be at rest.

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