In the figure shown the coefficient of kinetic friction betw

In the figure shown, the coefficient of kinetic friction between the block and the incite is 0289 What is the magnitude of the acceleration of the suspended block as it falls? Disergard friction and mass. Determine the tension in the string as the system accelerates

Solution

m g - T = m a

T + 2 M g sin theta - 2 M g cos theta * mu = 2 M

a = 1/3 * g [1 + 2 sin theta - 2 mu cos theta]

= 1/3 * 9.8 [1 + 2 sin 30 - 2 * 0.289 * cos 30]

= 4.89 m/s²