True-false questions about frictionaless, masslesss pulleys

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In the discussion about true-false questions regarding frictionless, massless pulleys, the participants analyze the relationships between two masses, m1 and m2. It is established that the magnitudes of acceleration for both masses are equal due to the nature of the pulley system. The center of mass does not accelerate, as there is no net external force acting on it. Tension in the string connected to m1 must be greater than m1g to maintain the system's balance. The conversation highlights the importance of understanding forces and accelerations in pulley systems.
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Homework Statement



These are true/ false questions, equal to, >, or <
A frictionless, massless pulley is attached to a ceiling, Mass m2 is greater than mass m1.

A. The magnitude of the acceleration of m2 is ... the magnitude of the acceleration on m1.
B. The center of mass accelerates.
C. The tension in string one(t1) is ... m1g.

Homework Equations



F= ma,

The Attempt at a Solution


A. The magnitude of the acceleration of m2 is equal to the magnitude of the acceleration of m1
B. False- the center of mass does not accelerate
C. The tension in stringone should be> than that in m1g


I have something wrong but I don't know what?
Help, please
 
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You have just one wrong. Can you explain your reasoning for each answer?
 


A. The magnitude of the acceleration has to be equal because the tension in the strings of the pulley would have to be equal
B.The center of the mass does not accelerate because there is no force acting on it.
C.The tension in string 1 is greater than m1g, because it would have to be in orderfor the pulley to work .
 


If there is a net force acting on each mass, wouldn't there be a net force acting on its center of mass? And your reasoning for the others is not correct.
 

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