The mass of block A is 40kg, the mass of block B is 80 kg, and A is connected to
ID: 1848551 • Letter: T
Question
The mass of block A is 40kg, the mass of block B is 80 kg, and A is connected to B with the cable and pulley system shown. The cable and pulleys have negligible mass. The coefficient of static friction between A and the horizontal surface is 0.30 and the coefficient of kinetic friction is 0.25 . Find the acceleration of block A and the tension in the cable. Find the acceleration of block A and the tension in the cable. I know the answers are 2.18m/s^s for the acceleration of A and the tension is 185.3 N I'm just having trouble getting them. Thanks in advance!
Explanation / Answer
Let T be the tension in the strings and 'a' be the acceleration Writing equation for A T - 0.25*40g = 40a ....i For B 80g - 4T = 80a (Tension of B will be 4T) => 20g - T = 20a....ii using i and ii 20g - 10g = 60a => a = g/6 = 1.63 m/s^2 and T = 163.33N
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