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Question

A cube of 10 N rests on rough inclined plane of slope 3 in 5. The coefficient of friction is 0.6. The minimum force necessary to start the cube moving up the plane is

A
8.8 N
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B
16.2 N
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C
10.8 N
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D
21.6 N
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Solution

The correct option is C 10.8 N
Slope 3 in 5 means 3 vertical distance in 5 horizontal motion:
F=(mg)sinθ+μk mg cosθ
θ=sin1(3/5);μ=0.6;mg=10N
F=mgsinθ+μmgcosθ=10.8

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