Two blocks each of mass m lie on a smooth table. They are attached to two other masses as shown in the figure. The pulleys and strings are light. An object O is kept at rest on the table. The sides AB

Question

Two blocks each of mass m lie on a smooth table. They are attached to two other masses as shown in the figure. The pulleys and strings are light. An object O is kept at rest on the table. The sides AB \& CD of the two blocks are made reflecting. The acceleration of two images formed in those two reflecting surfaces w.r.t. each other is:

TestHub · Accepted Answer

Along the normal to each mirror, V I ​ = 2 V M ​ − V O ​ ; differentiating, a I ​ = 2 a M ​ − a O ​ , and with a O ​ = 0 , a I ​ = 2 a M ​ . a A ​ = 4 3 ​ g , a C ​ = 3 2 g ​ , so the image accelerations are 2 a A ​ = 2 3 g ​ (in AB) and 2 a C ​ = 3 4 g ​ (in CD). The images move in opposite directions, so the relative acceleration is 2 3 g ​ + 3 4 g ​ = 6 17 g ​ - option (D).

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