Two Masses Hanging on a Massive Pulley

In summary: If m2 goes down through distance x , what is the distance gone up by m1?re EIs the pulley accelerating downwards or upwards?The pulley is accelerating downwards, so m1 would go up by the same distance x. So, T1 and T2 would be equal, right?So, the correct answers would be:a-Gb-Ec-Ed-Te-Ef-EIn summary, the pulley with mass Mp and a radius Rp, attached to the ceiling in a gravity field of 9.81 m/s2, rotates with no friction about its pivot. The quantities Tn and g are magnitudes. Select T-True, F-False,
  • #1
Becca93
84
1
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. The quantities Tn and g are magnitudes.

(image attached)
Select T-True, F-False, G-Greater than, L-Less than, E-Equal to.
A) T1 is ... m1g.
B) T2 is ... T1.
C) The magnitude of the acceleration of m1 is ... that of M2.
D) The center of mass of Mp+M1+M2 accelerates.
E) T1 + T2 is ... T3.
F) m1g + M2g + Mpg is ... T3. The attempt at a solution

A) G - Because the m2 is greater than m1, the system is accelerating left, so tension in string one would be the weight plus ma.
B) L - System is accelerating left over a pulley, so would tension less?
**I'm not sure about this one. Would they be equal?
C) E - The whole system is accelerating, so they should be equal.
D) T - I said true for this one because the distances of m2 and m1 from Mp are constantly changing.
E) L - T1+T2 is responsible for only m1 and m2. T3 is responsible for m1, m2, and Mp, so therefore T1+T2 should be less than T3
F) E - T3 is responsible for the weight of all three masses.
**I'm not sure about this one either. Would moment of inertia or any other rotational force factor in here to make T3 greater?

I've tried GLETLE AND GEETLE and both combinations are incorrect. There is a flaw in my reasoning and I am unable to see where it is.

Any advice?Edit: My tries are as follows:
1 Incorrect. (Try 1) GLETLE
2 Incorrect. (Try 2) GEETLE
3 Incorrect. (Try 3) GEETLL
4 Incorrect. (Try 4) GLETLL
 

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  • #2
I would think again re

B,D, E ... and I am still thinking re F!
 
  • #3
grzz said:
I would think again re

B,D, E ... and I am still thinking re F!

But why? Am I missing a law or something?
 
  • #4
re B

The pulley needs a torque so that it can rotate. Hence T2 is ... than T1.
 
  • #5
I think your F is ok.
 
  • #6
grzz said:
re B

The pulley needs a torque so that it can rotate. Hence T2 is ... than T1.

So T2 is greater than T1?

Okay. So, would
a-G
b-G
c-E
d-T
e-L
f-L

sound right?
 
  • #7
So T2 is greater than T1?...I think yes.

re D

If m2 goes down through distance x , what is the distance gone up by m1?
 
  • #8
grzz said:
So T2 is greater than T1?...I think yes.

re D

If m2 goes down through distance x , what is the distance gone up by m1?

The following are my incorrect answers:
1 Incorrect. (Try 1) GLETLE
2 Incorrect. (Try 2) GEETLE
3 Incorrect. (Try 3) GEETLL
4 Incorrect. (Try 4) GLETLL
5 Incorrect. (Try 5) GGLFLL
6 Incorrect. (Try 6) GGEFLL
 
  • #9
If m2 goes down through distance x , what is the distance gone up by m1?
 
  • #10
re E

Is the pulley accelerating downwards or upwards?
 

1. What is a two masses hanging on a massive pulley system?

A two masses hanging on a massive pulley system is a physical system where two masses are suspended on either side of a pulley, with the pulley itself being significantly heavier than the masses. The masses are connected by a string or rope that wraps around the pulley, allowing for the transfer of forces between the masses.

2. How does this system work?

In this system, the two masses are connected by a string or rope that passes over the pulley. The pulley serves as a fulcrum, allowing the forces between the two masses to be transmitted. When one mass moves downward, the other mass moves upward, creating a balanced system where the total force on the pulley is zero.

3. What are the factors that affect the motion of the masses?

The motion of the masses in this system is affected by several factors, including the masses of the objects, the length and tension of the connecting string, and the mass and friction of the pulley itself. These factors can impact the acceleration, velocity, and position of the masses as they move.

4. How does the acceleration of the masses change over time?

In this system, the acceleration of the masses changes over time as the forces acting on them change. Initially, the acceleration is determined by the difference between the two masses and the tension in the string. As the system moves, the acceleration may change due to factors such as friction or changes in the masses or string length.

5. What are the real-life applications of this system?

The two masses hanging on a massive pulley system has various applications in physics and engineering. It can be used to model systems such as elevators, cranes, and even the human body. It is also commonly used in educational settings to demonstrate principles of mechanics and force transfer.

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