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Laws Of Motion

Question

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A body is placed on a rough inclined plane having inclination θ greater than the angle of repose ϕ. What is the minimum force required to prevent the body from sliding?

Solution

Angle of inclination = $straight theta$
Angle of repose = $straight ϕ$
Here, angle of inclination is greater than angle of repose.
Minimum force required to prevent the body from sliding is,
F= $space space mg left parenthesis sinθ plus cosθtanϕ right parenthesis$

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