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PhysicsSingle correct+4 / -1Question 44 of 90

JEE Main 2022 · 29 Jul · Shift 2, Physics question 44

Two bodies of masses m1_1 = 5 kg and m2_2 = 3 kg are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass m1_1 will be :[Take g = 10 m s−2^{-2}]

Block m1 on a smooth incline of angle θ, tied by a string over a pulley at the top to block m2 hanging vertically.
Choose one option
Answer and worked solution

Official answer: B

Equilibrium. T=m2g=30T=m_2g=30 N =m1gsin⁡θ=m_1g\sin\theta, so sin⁡θ=0.6\sin\theta=0.6, cos⁡θ=0.8\cos\theta=0.8.

Normal force m1gcos⁡θ=40m_1g\cos\theta=40 N (the smooth plane exerts only this).

(B)

Topics:Newton's lawsFree body diagrams
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