In the figure shown the coefficient of kinetic friction betw

In the figure shown, the coefficient of kinetic friction between the block and the incline is 0.289 VJ. What is the magnitude of the acceleration of the suspended block as it falls? Disregard pulley friction and mass. BONUS: 4pts. Determine the tension in the string as the system accelerates.

Solution

String tension T = [2M*M*g*(sin + µcos)]/(2M+M) = (2/3)Mg(sin30° + .289cos30°) = 4.901*M

a = g - T/(2M) = g - 3.1005 = 7.35 m/s²

 In the figure shown, the coefficient of kinetic friction between the block and the incline is 0.289 VJ. What is the magnitude of the acceleration of the suspen

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