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Two blocks of masses m₁=1 ~kg and m₂=2 ~kg are connected by a spring of constant k =100 ~N / m and placed over a plank as shown. The coefficient of friction between m ₂ and plank is 0.5 and there is no friction between m ₁ and plank. Initially the whole system, is at rest. The plank is now pulled to right with constant acceleration a =2 m / s ^2 . Find the amplitude (in cm ) of oscillation of block m ₁ relative to pl

Correct answer

2

Step-by-step solution

viewed from frame of plank [initial condition] [at the time of maximum compression] 2 m₁ a+m₂ a=8 N and f_ = N=10 N Friction is static kA = m ₁ a A= m₁ a k =2 ~cm

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