For the situation shown in the figure, if the spring is elongated by ′x′. The condition for no slipping on the inclined plane is given by
A
tanθ>μs
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B
tanθ≤μs
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C
tanθ>1μs
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D
tanθ≤1μs
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Solution
The correct option is Btanθ≤μs Let the spring be elongated by a length x.
The FBD of the block is as shown for the elongation.
Here, R is the normal reaction force on the block by the inclined plane.
From the FBD, we have R=mgcosθ fs=μsR=μsmgcosθ
(limiting value of static friction)