Two blocks of masses M and m are connected to each other by a massless string and spring of force constant k as shown in the figure. The spring passes over a frictionless pulley connected rigidly to the edge of a stationary block A. The coefficient of friction between block M and the plane horizontal surface of A is μ. The block M slides over the horizontal top surface of A and block m slides vertically downwards with the same speed. The mass M is equal to

Question

Two blocks of masses M and m are connected to each other by a massless string and spring of force constant k as shown in the figure. The spring passes over a frictionless pulley connected rigidly to the edge of a stationary block A. The coefficient of friction between block M and the plane horizontal surface of A is μ. The block M slides over the horizontal top surface of A and block m slides vertically downwards with the same speed. The mass M is equal to

Infinity Learn · Accepted Answer

When the system of two blocks of masses M and m is either at rest or moving with the same speed, no net force acts on them.In this equilibrium state,$$T=$$μ$$R=$$μMg and $$T=mg$$∴  μ$$Mg=mg$$⇒$$M=m$$μ

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