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JEE Main 2026 · 6 Apr · Shift 1, Physics question 29

Two blocks (PP and QQ) with respectively masses 2 kg and 1.5 kg are joined by a massless thread. These blocks are mounted on a frictionless pully which is fixed on the edge of a cube (SS), as shown in the figure below. Block PP is positioned on the top surface which has no friction and block QQ is in contact with side-surface, having coefficient friction μ\mu. The cube (SS) moves towards the right with acceleration of g2\dfrac g2, where gg is gravitational acceleration. During this movement the block PP and QQ remain stationary. The value of μ\mu is ________.

(take g=10g=10 m/s²)

A cube S drawn in perspective. Block P (2 kg) on its top face is tied by a thread over a pulley at the top right edge; the thread hangs down the right face to block Q (1.5 kg), which touches that face.
Choose one option
Answer and worked solution

Official answer: B

Block P (smooth top). Only the thread accelerates it with the cube:
T=mPg2=10 N.T=m_P\frac g2=10\text{ N}.

Block Q. The side face pushes it forward:
N=mQg2=7.5 N.N=m_Q\frac g2=7.5\text{ N}.

Vertical balance for Q.
T+μN=mQg ⇒ 10+7.5μ=15 ⇒ μ=23≈0.67.T+\mu N=m_Qg\ \Rightarrow\ 10+7.5\mu=15\ \Rightarrow\ \mu=\frac23\approx0.67.

(B)