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Q.

A body of mass 'm' slides down a smooth inclined plane having an inclination of 450 with  the horizontal. It takes 2s to reach the bottom. If the body is placed on a similar plane having coefficient friction 0.5, what is the time taken for it to reach the bottom?

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a

3.725 sec

b

4.135 sec

c

2.650 sec

d

2.828 sec

answer is C.

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Detailed Solution

t=2lgSinθ4=2lgSinθ2lg=4Sin450


=4×12=22

t1=2lg(sinθ-μkcosθ)
2212-1212=22122=22 = 2 × 1.414 = 2.828 S

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A body of mass 'm' slides down a smooth inclined plane having an inclination of 450 with  the horizontal. It takes 2s to reach the bottom. If the body is placed on a similar plane having coefficient friction 0.5, what is the time taken for it to reach the bottom?