The drawing shows three objects, with m 1 = 11.6 kg and m 2 = 23.5 . They are co

Question

The drawing shows three objects, with m1 = 11.6 kg and m2 = 23.5. They are connected by strings that pass over massless and frictionless pulleys. The objects move, and the coefficient of kinetic friction between the middle object and the surface of the table is 0.100.

T1 (left) N T2 (right) N The drawing shows three objects, with m1 = 11.6 kg and m2 = 23.5. They are connected by strings that pass over massless and frictionless pulleys. The objects move, and the coefficient of kinetic friction between the middle object and the surface of the table is 0.100. What is the acceleration of the three objects? Find the tension in each of the two strings.

Explanation / Answer

Let a be the acceleration and its direction is toward m?.
On drawing free body diagram force eq. will be
T? - m?g = m?a {T? is tension in string connected to m?}
m?g - T? = m?a {T? is tension in string connected to m?}
T?-T?-f = 80a {f in frictional force acting on 80 kg mass}
f = 0.1x80g = 78.4 {g = 9.8m/s

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