Solving a Frictionless Massless Pulley Problem

In summary, the conversation discusses a problem involving a frictionless, massless pulley attached to the ceiling in a gravity field. Mass M2 is greater than mass m1 and T1, T2, T3, and g are magnitudes. The conversation also includes a discussion of the options "greater than," "less than," and "equal to." The problem involves determining the relationship between T1, T2, T3, and the magnitudes of acceleration for m1 and M2. The conversation concludes with a recommendation to refer to a physics textbook for further help.
  • #1
qi0n
2
0

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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  • #2
Show a picture. What are T1, T2, T3?
If you have the picture, draw also the free-body diagram.

ehild
 
  • #3
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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  • #4
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
 
  • #5
if you have problem solving these types of questions i recommend you study the textbook of physics by Resnick,Halliday and Walker
 

1. What is a frictionless massless pulley problem?

A frictionless massless pulley problem is a type of physics problem that involves a pulley with negligible mass and no friction. The goal is to determine the acceleration, tension, and/or velocity of objects attached to the pulley system using principles of mechanics and Newton's laws of motion.

2. How do you approach solving a frictionless massless pulley problem?

The first step in solving a frictionless massless pulley problem is to draw a clear diagram of the pulley system, labeling all forces and objects involved. Next, apply Newton's laws of motion to set up equations for the unknown variables. Finally, solve the equations using algebraic or trigonometric methods to find the desired values.

3. What are the key assumptions made in solving a frictionless massless pulley problem?

The key assumptions made in solving a frictionless massless pulley problem are that the pulley has no mass and no friction, the ropes or strings attached to the pulley are massless and inextensible, and the system is in equilibrium or has constant acceleration.

4. Can a frictionless massless pulley problem be solved using different methods?

Yes, a frictionless massless pulley problem can be solved using a variety of methods such as vector analysis, free-body diagrams, and system of equations. The chosen method may vary depending on the complexity of the problem and the individual's problem-solving skills.

5. What are some real-world applications of frictionless massless pulley problems?

Frictionless massless pulley problems have many real-world applications, such as in engineering, mechanics, and physics. For example, they can be used to calculate the forces and accelerations in a system of pulleys and ropes used in cranes, elevators, and other lifting devices.

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