Rotational Motion Of A Pulley

T3 < m1g + m2g + mpgIn summary, T3 is less than the combined weight of m1, m2, and Mp, and the center of mass of the system does not accelerate. T1 is less than the weight of m1 and is equal to T2. The magnitude of acceleration of M2 is equal to that of m1.
  • #1
asz304
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Homework Statement


A pulley with mass Mp and a radius Rp is attached to the ceiling, in a gravity field of 9.81 m/s2 and rotates with no friction about its pivot. Mass M2 is larger than mass m1. T3 holds the pulley. The quantities Tn and g are magnitudes.
(Select T-True, F-False, G-Greater than, L-Less than, E-Equal to. If the first is T, the second L and the rest E, enter TLEEEE).

A) T3 is ... T1 + T2 [ Attempt: Less Than ]
B) T1 is ... m1g. [ Attempt: Less Than ]
C) The C.M. of Mp+M1+M2 does not accelerate. [ Attempt: True ]
D) T3 is ... m1g + M2g + Mpg.[ Attempt: Equal ]
E) T1 is ... T2 [ Attempt: Equal ]
F) The magnitude of the acceleration of M2 is ... that of m1. [ Attempt: Equal ]

Can you please check if one of my attempts are correct? Thanks
 
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  • #2
i think in D) T3 = m1g + m2g + Mpg - T1 - T2

so T3 is less than m1g + m2g + mpg
 

1. What is rotational motion of a pulley?

Rotational motion of a pulley is the movement of a pulley around its axis of rotation. It involves the rotation of the pulley and the objects attached to it, such as ropes or belts.

2. What is the purpose of a pulley?

The purpose of a pulley is to change the direction or magnitude of a force, making it easier to lift or move heavy objects. It also allows for the transmission of power between different points.

3. How does a pulley work?

A pulley works by using a grooved wheel and a rope or belt. The rope or belt is looped around the pulley, and as one end is pulled, the pulley rotates, causing the load attached to the other end to move.

4. How does the number of pulleys affect the mechanical advantage?

The more pulleys there are in a system, the greater the mechanical advantage. This is because each additional pulley reduces the amount of force needed to lift an object, making it easier to move heavy loads.

5. What factors affect the rotational motion of a pulley?

The rotational motion of a pulley is affected by the mass of the pulley, the force applied to the rope or belt, and the friction between the pulley and the rope or belt. Other factors include the diameter and shape of the pulley, as well as the tension of the rope or belt.

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