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

ID: 2276719 • 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 masses are mA =36.0 kg, mB = 40.0 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 masses are mA =36.0 kg, mB = 40.0 kg, mC = 24.0 kg. When the assembly is released from rest, what is the tension in the cord that connects boxes 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)
Tension between AC is T1 and BC is T2 .

24(9.80) - T2 = 24a

T2 + 40(9.8) - T1 = 40a

T1 = 24a

T2 + 392 - 24a = 40a
T2 + 392 = 64a
T2 = 64a - 392

235.2 - (64a - 392) = 24a
627.2 = 88a
a = 7.127272727272 m/s