Acceleration on a Pulley: Equal or Different for Connected Masses?

In summary, the acceleration of the mass on the table will be equal to the acceleration of the mass hanging over the edge due to their connection by a string.
  • #1
Tim Wellens
20
0

Homework Statement


We are dealing with a frictionless table with one mass on the table, while the other one hangs over the edge on a pulley connected by a string... and the mass on the table is greater than the mass hanging from the edge...

When the blocks are released from their resting position, would the magnitude of the acceleration of the mass on the table be more than, less than, or equivalent to the acceleration in the mass hanging over the edge?

Homework Equations


∑F=ma

The Attempt at a Solution


I think when the blocks are released, the magnitude of the acceleration of the mass on the table will be equal to the acceleration of the mass hanging over the edge because they are connected by a string, which would make them move at the same accelerations?

[moderator note: Removed boldface from user text.]
 
Physics news on Phys.org
  • #2
Correct.
 

What is acceleration on a pulley?

Acceleration on a pulley refers to the change in velocity of an object that is attached to a pulley system. It is caused by the tension forces acting on the object as it moves along the pulley.

How is acceleration on a pulley calculated?

Acceleration on a pulley can be calculated using the formula a = (2mT - m1g)/m1, where a is the acceleration, m is the mass of the object, T is the tension force, and g is the acceleration due to gravity.

What factors affect acceleration on a pulley?

The acceleration on a pulley is affected by the mass of the object, the tension force, and the acceleration due to gravity. Additionally, the friction between the object and the pulley can also affect the acceleration.

How does the angle of the pulley affect the acceleration?

The angle of the pulley can affect the acceleration by changing the direction of the tension force. A larger angle can result in a larger component of the tension force acting in the direction of motion, increasing the acceleration.

What is the difference between linear and angular acceleration on a pulley?

Linear acceleration on a pulley refers to the change in velocity of the object moving along the pulley, while angular acceleration refers to the change in rotational velocity of the pulley itself. These two types of acceleration are related through the radius of the pulley and can be calculated using different formulas.

Similar threads

  • Introductory Physics Homework Help
Replies
17
Views
1K
Replies
25
Views
2K
  • Introductory Physics Homework Help
Replies
30
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
2
Replies
38
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
859
  • Introductory Physics Homework Help
2
Replies
35
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Introductory Physics Homework Help
Replies
10
Views
3K
  • Introductory Physics Homework Help
2
Replies
52
Views
661
Back
Top