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Question

An insect is moving upwards on an inclined plane of inclination θ. Between the inclined plane and the insect, coefficients of static and kinetic friction are μs and μk respectively (μs>μk). With what maximum acceleration can the insect move?

A
gsinθ+μsgcosθ
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B
gsinθ+μkgcosθ
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C
gsinθμkgcosθ
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D
μsgcosθgsinθ
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Solution

The correct option is B gsinθ+μsgcosθ
The maximum force required to move on an inclined plane with an acceleration a is the force required to overcome the sum of its weight and static friction force acting on
Thus
Static friction force is f=μsN
Weight component mg sin θ
Force required
F=mg sinθ+μsmg cosθ
thus acceleration is
a=Fm
a=gsinθ+μsgcosθ
Option A is correct.

563848_75149_ans_7909817b5c7245a5a7e08350125c1aae.png

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