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Constraint equations in mechanics

  • #1
1. The problem: Two blocks of mass m=5kg and M= 10kg are connected by a string passing over a pulley B. Another string connects pulley B to the floor and passes over pulley A. An upward force F is applied at the centre of pulley A. Both pulleys are massless. Find acceleration of the blocks if F is:
a) 100N, b) 300N, c) 500N
Take g=10 ms-2



I have attached an image of the problem.

Attempt at a solution:
Well I drew an FBD in the frame of pulley A, thus using a downward pseudo force. Also, I found using constraint equations that F=4T, where T is the tension in the thread joining the two masses. Thus it gave me two equations ( one for each mass) but solving them, I found out that both the accelerations are turning out to be negative. Where did I go wrong?
15320104568961692308584.jpg
 

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  • #2
Orodruin
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Thus it gave me two equations ( one for each mass) but solving them, I found out that both the accelerations are turning out to be negative. Where did I go wrong?
How are we going to have any chance to answer that if you do not show us your calculations?
 
  • #3
How are we going to have any chance to answer that if you do not show us your calculations?
I'm very sorry sir I'll put my attempt too
 
  • #5
How are we going to have any chance to answer that if you do not show us your calculations?
I've now added my attempt too, sir
 
  • #6
haruspex
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Please take the trouble to type working. Images are for diagrams and textbook extracts.
If you must post as images, please number equations for reference.

The line F=(M+m)a omits that a cord is anchored to the floor. It is also wrong in supposing that the mass centre of the two masses accelerates at the same rate as the upper pulley.
 

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