Three pulley arrangements carry masses as follows. A: a mass m on one side and a downward pull 3 m g on the free end. B: masses 2 m and m over the pulley. C: two masses m over the pulley with an extra

Question

Three pulley arrangements carry masses as follows. A: a mass m on one side and a downward pull 3 m g on the free end. B: masses 2 m and m over the pulley. C: two masses m over the pulley with an extra downward pull m g on one side. The accelerations a 1 ​ , a 2 ​ , a 3 ​ satisfy:

TestHub · Accepted Answer

A a 1 ​ = m 3 m g − m g ​ = 2 g . B a 2 ​ = 3 m 2 m − m ​ g = 3 g ​ . C a 3 ​ = 2 m ( m g + m g ) − m g ​ = 2 g ​ . So a 1 ​ > a 3 ​ > a 2 ​ . Option A.

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