Question

Two bodies of masses m1 = 5 kg and m2 = 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 will be
[Take g = 10 ms–2]

• A. 30 N
• B. 40 N
• C. 50 N
• D. 60 N

Answer 1

Answer: (B)

40 N

Answer 2

m2g = m1gsinθ …(i)
N = m1gcosθ …(ii)
⇒$\frac{N}{m_2g}=cot⁡θ$
⇒N=3×10×cot⁡θ
⇒N=3×10×$\frac{4}{3}$(∵sin⁡θ=$\frac{3}{5}$)
⇒ N = 40 N
So, the correct option is (B): 40 N.