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Q.

A block is kept inside an elevator which is ascending up at an angle 530 with the horizontal with an acceleration of 5 m/s2.Consider g=10m/s2, the minimum value of coefficient of friction for which the block does not slip on the elevator floor is μ. Find the value of 14×μ.   

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answer is 3.

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Detailed Solution

Assuming the frictional force to act at its maximum,
Nm(10m/s2)=m(5m/s2)sin53o 
And μN=m(5m/s2)cos53o we get μ=314    

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A block is kept inside an elevator which is ascending up at an angle 530 with the horizontal with an acceleration of 5 m/s2.Consider g=10m/s2, the minimum value of coefficient of friction for which the block does not slip on the elevator floor is μ. Find the value of 14×μ.