Suppose two boxes on a frictionless table are connected by a heavy cord of mass

Question

Suppose two boxes on a frictionless table are connected by a heavy cord of mass 1.0 kg. Assume Fp = 60.0N, and ignore sagging of the cord. 1

a) calculate the acceleration of the box (a), using the free-body diagrams shown in the figure

b) Calculate the tension at the left end of the cord, using the free body diagrams shown in the figure

c) calculate the acceleration of the box (c), using the free body diagrams shown in the figure

d) calculate the tension at the right end of the cord, using the free-body diagrams shown in the figure

Explanation / Answer

Fp = 60 N acceleration of A = Fp-Fat / mA a=( 60- F at )/10 Fat = 60-10a For box b, a = Fbt/12 Fbt = 12a For rope, a = (F at - F bt)/1 substitute Fat and Fbt values a = 60/23 = 2.61 m/s^2 (a) Acceleration of (a) is 2.61 m/s^2 (b) Ftb = 12a = 31.3 N (c) a = 2.61 m/s^2 (d) Fat = 60-10a = 33.91N

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