A block of mass M = 10.1 kg rests on a bracket of mass m = 4.7 kg, as shown in t

Question

A block of mass M = 10.1 kg rests on a bracket of mass m = 4.7 kg, as shown in the figure below. The bracket sits on a frictionless surface. The coefficients of friction between the block and the bracket on which it rests are ?s = 0.40 and ?k = 0.30.

(a) What is the maximum force F that can be applied if the block is not to slide on the bracket? N

(b) What is the corresponding acceleration of the bracket? m/s2

A block of mass M = 10.1 kg rests on a bracket of mass m = 4.7 kg, as shown in the figure below. The bracket sits on a frictionless surface. The coefficients of friction between the block and the bracket on which it rests are ?s = 0.40 and ?k = 0.30. (a) What is the maximum force F that can be applied if the block is not to slide on the bracket? N (b) What is the corresponding acceleration of the bracket? m/s2

Explanation / Answer

a) Fmax = 0.4 x 10.1 x 9.8 = 39.59 N

b) a = 2Fmax/(M + m) = 2 x 39.59/[10.1 + 4.7] = 5.35 m/s2

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