Question

Calculate the acceleration of the system, given that the mass M1= 20kg, M2=10kg and M3= 3kg. Consider the coefficient of friction between tM2 and the floor to be 0.38

Answer 1

Explanation:

Let the acceleration of the blocks and the tension in the string be  a and T respectively.

For block of mass M1  :              M1a=T−M1g             .........(1)

For block of mass M2  :              M2a=M2g−T             .........(2)

Adding (1) and (2) we  get           (M1+M2)a=(M2−M1)g

⟹        a=M2+M1M2−M1g

Given :          M1=5kg                M2=10kg

 a=10+510−5g            ⟹a=3g.

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