Blocks A and B are connected by a pulley system. The coefficient of kinetic fric

Question

Blocks A and B are connected by a pulley system. The coefficient of kinetic friction between the blocks and the incline is muk = 0.45 and static friction is insufficient to prevent slipping. The mass of A is m A = 8 kg, the mass of B is m B = 1 5 kg, and the angle between the incline and the horizontal is theta = 24degree. Determine the acceleration of A , the acceleration of B , and the tension in the rope after the system is released. |a rightarrow A| = m/s2 up the incline |a rightarrow B| = m/s2 T = N.

Explanation / Answer

for Block A: 2T-mgsin24-0.45*mg*cos24= m*Aa for block B: mg-4T= m*Ab 2*Ab= Aa so putting values in equation: 2T- 32.5389- 32.88763 = 16Ab 150-4T= 15Ab solving so T= 35.97N Ab= 0.407 m/s^2 Aa= 0.814 m/s^2

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