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Question

A solid cylinder of mass 10 kg is rolling perfectly on a plane of inclination 30o. The force of friction between the cylinder and the surface of the inclined lane is

A
49N
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B
24.5N
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C
49/3N
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D
12.25N
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Solution

The correct option is D 49N
Given,
m=10kg
g=9.8m/s2
θ=300
From free body diagram,
contact force,
N=mgcosθ. . . . . .(1)
Frictional force between the cylinder and the surface of the inclined lane is given by,
fμ=mgsinθ. . . . . .(2)
fμ=10×9.8×sin300
fμ=49N
The correct option is A.

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