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Question

A child of mass 30 kg is sliding down a school slides with an angle of inclination of 37 with horizontal. He can hold the railing on the sides of the slider in order to slide down without any acceleration. The force by the railing on the child for which he can do so is
(Given μ=13 and g=10 m/s2)

A
50 N along +x direction
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B
100 N along +x direction
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C
50 N along x direction
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D
100 N along x direction
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Solution

The correct option is D 100 N along x direction
The FBD of the figure is as shown:
force down the incline, F =30gsin37=180 N down the plane.
Frictional force =μmgcos37=80 N up the plane.
Hence the unbalanced force of 100 N is to be applied up the plane for it to move without any acceleration.

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