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← IIT-JEE 2011 · Paper 1
PhysicsInteger+4Question 41 of 69

IIT-JEE 2011 · Paper 1, Physics question 41

A block is moving on an inclined plane making an angle 45° with the horizontal and the coefficient of friction is μ\mu. The force required to just push it up the inclined plane is 3 times the force required to just prevent it from sliding down. If we define N=10μN=10\mu, then NN is

Answer and worked solution

Official answer: 5

Forces at 45°. Push up: mg(sin⁡45°+μcos⁡45°)mg(\sin45°+\mu\cos45°); hold from sliding: mg(sin⁡45°−μcos⁡45°)mg(\sin45°-\mu\cos45°).

Condition. 1+μ=3(1−μ)1+\mu=3(1-\mu) gives μ=12\mu=\frac12, so N=5N=5.

Answer: 5

Topics:Friction