Two blocks on a frictionless horizontal surface are connected by a light string

Question

Two blocks on a frictionless horizontal surface are connected by a light string as in Figure P4.65, wherem1=10kg andm2=21kg. A force of90N is applied to the21kg block.

(a) Determine the acceleration of each block and the tension in the string.

m/s2(acceleration ofm1)

m/s2(acceleration ofm2)

N (tension in the string)

(b) Repeat the problem for the case where a coefficient of kinetic friction between each block and the surface is0.1.

m/s2(acceleration ofm1)

m/s2(acceleration ofm2)

N (tension in the string

Explanation / Answer

(a) acceleration = 90/31 = 2.90 m/s^2 = accn of m1 = accn of m2, tension in string = m1.a = 29 N (b) acceleration = (90-.1*31*9.8)/31 = 1.92 m/s^2 = accn of m1 = accn of m2 Tension = m1a + k*m1*g = 10*1.92 + .1*10*9.8 = 29 N

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