TS EAMCET · Physics · Laws of Motion
Consider a system of blocks \(X, A\) and \(B\) as shown in the figure. The blocks \(A\) and \(B\) have equal mass and are connected by a massless string through a massless pulley. The coefficient of friction between block \(A\) and \(X\) or \(B\) and \(X\) is 0.5 . If block \(X\) moves on the horizontal frictionless surface what should be Its minimum acceleration such that blocks \(A\) and \(B\) remain stationary. \((g=\) acceleration due to gravity.)

- A \(\frac{g}{3}\)
- B \(3 g\)
- C \(\frac{g}{4}\)
- D \(\frac{3 g}{4}\)
Answer & Solution
Correct Answer
(A) \(\frac{g}{3}\)
Step-by-step Solution
Detailed explanation
Given, Mass of block \(A\) and \(B, m_A=m_B=m\). Coefficient of friction between each block and surface \(\mu=0.5\). Block \(\not X\) moves with acceleration \(a\) such that block \(A\) and \(B\) remains stationary. Block \(B\) is stationary only when, Tension force on block…
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