GATE ME 2016 Set 3 — Question 40
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Engineering Mechanics → Dynamics → Dynamics of Rigid Bodies
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Question
An inextensible massless string goes over a frictionless pulley. Two weights of N and N are attached to the two ends of the string. The weights are released from rest, and start moving due to gravity. The tension in the string (in N) is __________
Correct answer
130 to 135
Solution
Let N and N be the weights of the two blocks. The masses are and .For the N block moving downwards with acceleration :
--- (1)For the N block moving upwards with acceleration :
--- (2)Dividing equation (1) by equation (2):Alternatively, using the direct formula for tension in an Atwood machine:The tension in the string is approximately N, which falls within the range of 130 to 135.
--- (1)For the N block moving upwards with acceleration :
--- (2)Dividing equation (1) by equation (2):Alternatively, using the direct formula for tension in an Atwood machine:The tension in the string is approximately N, which falls within the range of 130 to 135.
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