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 )
Text Solution
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(a, d) Suppose blocks A and B move together. Applying NLM on C, A + B, and D
60 – T = 6a
T – 18 – T' = 9a
T' – 10 = 1a
On solving a = 2 m/s 2
To check slipping between A and B, we have to find friction force in this case. If it is less than limiting
static friction, then there will be no slipping between A and B.
Applying NLM on A.
T – f = 6(b)
as T = 48 N
f = 36 N
and f s = 42 N hence A and B move together.
and T' = 12 N.
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