Objects with masses m1 = 12.0 kg and m2 = 6.0 kg are connected by a light string

Question

Objects with masses m1 = 12.0 kg and m2 = 6.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m2 falls 1.00 m in 1.57 s, determine the coefficient of kinetic friction between m1 and the table.

Explanation / Answer

By s = ut + 1/2at^2 =>1 = 0 + 1/2a(1.57)^2 =>a = 0.81139 m/s^2 =>By balancing the forces =>T - µ x 12 x 9.8 = 12 x0.81139 =>T - 117.60µ = 9.73668 -------------(i) =>& 6 x 9.8 - T = 6 x 0.81139 --------(ii) =>58.80 - T = 4.86834 =>T = 63.668 =>By (ii):- =>63.668 - 117.60µ = 9.73668 =>µ = 0.4586

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