Question

A system consists of three masses m₁, m₂ and m₃ connected by a string passing over a pulley P. The mass m₁ hangs freely and m₂ and m₃ are on a rough horizontal table (the coefficient of friction = μ).
The pulley is frictionless and of negligible mass. The downward acceleration of mass m₁ is:
(Assume m₁=m₂=m₃=m)

• A. \(\frac{2g\mu}{3}\)
• B. \(\frac{g(1-2\mu)}{3}\)
• C. \(\frac{g(1-2\mu)}{2}\)
• D. \(\frac{g(1-g\mu)}{9}\)

Answer 1

The Correct Option is B

The correct option (B): \(\frac{g(1-2\mu)}{3}\)