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In the figure below, three ballot boxes are connected by cords, one of which wra

ID: 2256551 • Letter: I

Question

In the figure below, three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The three masses are mA = 28.0 kg, mB = 41.0 kg, mC = 24.0 kg.

In the figure below, three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The three masses are mA = 28.0 kg, mB = 41.0 kg, mC = 24.0 kg. When the assembly is released from rest, what is the tension in the cord connecting B and C? How far does box A move in the first 0.250 s (assuming it does not reach the pulley)?

Explanation / Answer

a = acceleration of the system (to the right)
Force balance on C:
ension between AC is T1 and BC is T2 .

28(9.80) - T2 = 28a

T2 + 41(9.8) - T1 = 41a

T1 = 28a

T2 + 428 - 28a = 41a
T2 + 428 = 69a
T2 = 69a - 428

235.2 - (69a - 428) = 28a
627.2 = 97a
a = 7.127272727272 m/s