Two boxes ( m 1 = 48.0kg and m 2 = 44.0kg ) are connected by a light string that

Question

Two boxes (m1 = 48.0kg and m2 = 44.0kg ) are connected by a light string that passes over a light, frictionless pulley. One box rests on a frictionless ramp that rises at 30.0? above the horizontal (see the figure below), and the system is realeased from rest. Find the acceleration of each box.system is released from rest. Two boxes (m1 = 48.0kg and m2 = 44.0kg ) are connected by a light string that passes over a light, frictionless pulley. One box rests on a frictionless ramp that rises at 30.0? above the horizontal (see the figure below), and the system is realeased from rest. Find the acceleration of each box.system is released from rest.

Explanation / Answer

For the hanging block the force on the string

F2 = m2 * g = 44 * 9.8 = 431.2 N

The force iis the component of weight acting parallel to the ramp

F1 = m1 * g * cos 30 = 407.4 N

F1 - F2 = (m1 + m2) * a

a = (F1 - F2)/(m1 + m2)

= (23.8)/(48 + 44)

= 0.259 m/s2

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