A series of three blocks are connected by ropes. The mass of block a is 10 kg, b

Question

A series of three blocks are connected by ropes. The mass of block a is 10 kg, block b is 5 kg, and block c is 15 kg. A force of 100 N is applied to pull the system to the right. If there is no friction on the table, find:
Tension between blocks b and c (t1)
Tension between blocks a and b (t2) A series of three blocks are connected by ropes. The mass of block a is 10 kg, block b is 5 kg, and block c is 15 kg. A force of 100 N is applied to pull the system to the right. If there is no friction on the table, find:
Tension between blocks b and c (t1)
Tension between blocks a and b (t2)
Tension between blocks b and c (t1)
Tension between blocks a and b (t2)

Explanation / Answer

Here, acceleration of blocks = 100/(10+5+15)

                                                = 3.33 m/sec2

=>   100 - Tab = 10 * 3.33

=> Tab = 66.7 N

Also,     Tab - Tbc = 5 * 3.33

=> Tbc = 50.05 N

=> Tension between blocks b and c (t1) = 50.05 N

=>   Tension between blocks a and b (t2)   =   66.7 N

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