An arrangement of the masses and pulleys is shown in the figure. Strings connecting masses A and B with pulleys are horizontal and all pulleys and strings are light. Friction coefficient between the s

Question

An arrangement of the masses and pulleys is shown in the figure. Strings connecting masses A and B with pulleys are horizontal and all pulleys and strings are light. Friction coefficient between the surface and the block B is 0.2 and between blocks A and B is 0.7 . The system is released from rest. (use g = 10 m / s 2 )

TestHub · Accepted Answer

Assume A and B move together; friction checked below.

$60 - T = 6 a$ , $T - 18 - T^{'} = 9 a$ , $T^{'} - 10 = a$

Solving: $a = 2 m/ s^{2}$ , $T = 48$ N.

Friction needed on A: $f = T - 12 = 36$ N;

Limiting friction $= 0.7 \times 60 = 42$ N $> f$ , so no slipping: (A) true, (B) false.

$T^{'} = 12$ N, so (D) true. Answers: (A), (D).

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