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Question

In a situation the contact force by a rough horizontal surface on a body placed on it has constant magnitude if the angle between this force and the vertical is decreased the frictional force between the surface and the body will?

A
Increase
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B
Decrease
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C
Remain the same
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D
May increase or decrease
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Solution

The correct option is B Decrease
decreases
Let the magnitude of contact force be F and angle between F and vertical be Θ. The vertical and horizontal components of this contact force F are Normal force and Friction force respectively. See the figure below:-
Friction force= F.sinΘ
As Θ decreases the value of sinΘ also decreases. Since given that F is constant, so F.sinΘ i.e. Friction force also decreases.

1111626_1098977_ans_91384766700c45df8bb17036d8acb39a.jpg

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