In figure m 1 = 1 kg and m 2 = 4 kg . Find the mass M of the hanging block in kg which will prevent the smaller block from slipping over the triangular block. All the surface are frictionless and

Question

In figure m 1 ​ = 1 kg and m 2 ​ = 4 kg . Find the mass M of the hanging block in kg which will prevent the smaller block from slipping over the triangular block. All the surface are frictionless and the strings and the pulleys are light.

TestHub · Accepted Answer

For M : F net ​ = ma ∴ M g − T = M a For M 1 ​ + M 2 ​ : T = ( m 1 ​ + m 2 ​ ) a For M 1 ​ : m 1 ​ a cos θ = mg sin θ ​ ∴ a = g tan θ ​ ∴ a = M + m 1 ​ + m 2 ​ M g ​ = g tan θ ​ ∴ M = 3 ​ − 1 5 ​ − 6.83 k g ​

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JEE Main + Advanced (1 year 12th class)