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Applications of Forces

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Question 5

Two crates A A\,A and BBB, of mass 5 kg and 4 kg respectively, are connected by a light inextensible rope that passes over a smooth pulley at the top of a symmetrical wedge. The wedge is fixed to the floor, with both faces inclined at an angle of 45∘ 45^\circ\,45∘ to the horizontal. Crate A A\,A is on a smooth face, while crate B B\,B is on a rough face where the coefficient of friction is 0.2. The rope remains taut throughout the motion.

a.

Find the tension in the rope.

[7]
b.

Find the acceleration of the system and the direction of travel.

[2]

Applications of Forces Questions

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