Find the horizontal force required to drag a body of weight 100 N along a horizontal plane if the plane gradually raised to 15° the body will begin to silde?
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Explanation:From the picture it is clear that Force of drag= 100sin15°=65.028N
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Force required for drag = 25.88 N
Given that the weight of body is 100N. It is placed on a gradual incline of an agle 15° with respect to the horizontal. The weight of the body will acting vertically downwards. The normal reaction on the plane however will be a resolution of the weight of the body. That is the component of the weight adjacent, hence Weight × cos α where α is angle of the incline.
The body will drag downwards as a result of its own weight. The perpendicular component of its weight will be responsible for the subsequent downward movement.
∴ Force required = W × sin 15°
∴ Force required = 100 × sin 15
∴ Force required = 25.88 N
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