Solving a Frictionless Massless Pulley Problem

AI Thread Summary
In the discussion about a frictionless massless pulley problem, the relationship between tensions T1, T2, and T3 is analyzed, with T1 being the tension on mass m1 and T2 on mass M2. It is established that T1 is greater than m1g due to the upward acceleration of m1, while the accelerations of both masses are equal. The equation m1g + M2g equals T3 is confirmed, but T1 + T2 is clarified to be equal to T3 because the pulley is at rest. The importance of drawing a free-body diagram to visualize forces acting on the masses is emphasized for better understanding. Overall, a deeper study of physics concepts is recommended for those struggling with such problems.
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Homework Statement




A frictionless, massless pulley is attached to the ceiling, in a gravity field of 9.81 m/s2.

Mass M2 is greater than mass m1. The quantities T1, T2, T3 and g are magnitudes.

The Attempt at a Solution




The Options are Greater than, Less than, Equal To
T1 is _____ m1g.(Greater than)
The magnitude of the acceleration of M2 is _____ the magnitude of the acceleration on m1.(equal too)
m1g + M2g is _____ T3(equal too)
T1 + T2 is _____ T3.(greater than)
T1 is _____ T2. (equal too)

i donno what part I am getting wrong.. any help?
 
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Show a picture. What are T1, T2, T3?
If you have the picture, draw also the free-body diagram.

ehild
 
this question is pretty simple, T1 is the tension in the string attached to m1, T2 is the tension in the string attached to m2 and T3 is the tension in the string attached to the pulley.since m2 is greater hence it will fall down hence m1 will go up hence it can be deducted from here as m1 is going up hence net force on it is in upward direction hence t1 is greater than m1g...I think you can solve further but T1+T2 is not greater than T3 as the pulley is at rest hence net force on it is zero hence they are equal
 
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a few more of your answers are wrong try to make a proper free body diagram and take into consideration all the forces acting on each of the masses
 
if you have problem solving these types of questions i recommend you study the textbook of physics by Resnick,Halliday and Walker
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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