How Do You Calculate Tension and Acceleration in a Two-Pulley System?

In summary, the conversation discusses a system consisting of two blocks attached by a string and connected through pulleys. The forces acting on each block are described, including tensions, normal forces, and weight. The question of finding the acceleration and tension is raised, and hints are given on how to approach the problem. The possibility of friction is also mentioned.
  • #1
lily_stein
3
0
A block of mass m_1 is attached to a massless, ideal string. This string wraps around a massless pulley and then wraps around a second pulley that is attached to a block of mass m_2 that is free to slide on a frictionless table. The string is firmly anchored to a wall and the whole system is frictionless.


I've only got as far as figuring out what forces are on each block; the top block has two tensions; one attached to the wall, and the tension that goes to the hanging block. It also has a normal force and the weight. Block two only has tension, normal force (?), and weight.

Can anyone offer a hint on how to get started finding the acceleration or tension? Thanks, Lily
 

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  • #2
Write the force equation for the mass hanging down there
What forces act on it - from below, from above, and what is the resultant of adding those forces??

Now for the block on the table. Is there any friction? Thus, do u need any vertical forces as such?
For the horizontal forces, ask yourself what are the force(s) acting on the block, and what will that force(s) result in?
 
  • #3
Ok, for mass 2, the heavy one, there are two tension forces, but no acceleration, I think. For the hanging mass, just weight down, and the normal/tension force up.
Thanks,
Lily
 

FAQ: How Do You Calculate Tension and Acceleration in a Two-Pulley System?

What is the purpose of using two blocks and two pulleys in an experiment?

The purpose of using two blocks and two pulleys in an experiment is to demonstrate the principles of mechanical advantage and simple machines. These setups can also be used to study forces, motion, and energy.

How do I set up a two blocks and two pulleys experiment?

To set up an experiment with two blocks and two pulleys, you will need two blocks (or masses) of different weights, two pulleys, and a string or rope. The blocks should be attached to the pulleys with the string, and the pulleys should be attached to a stable surface. Make sure the string is taut and the pulleys are able to move freely.

What is the difference between a fixed pulley and a movable pulley?

A fixed pulley is attached to a stable surface and does not move, while a movable pulley is attached to the moving object and moves with it. A fixed pulley only changes the direction of the force, while a movable pulley also provides mechanical advantage by reducing the amount of force needed to move the object.

How do two pulleys increase mechanical advantage?

In a two pulley system, the weight of the object is distributed between the two pulleys, reducing the overall force needed to lift the object. This is known as mechanical advantage, as it allows us to lift heavier objects with less effort.

What factors affect the mechanical advantage in a two pulley system?

The mechanical advantage in a two pulley system depends on the number of pulleys used, the weight of the object being lifted, and the angle of the ropes or strings. The more pulleys used, the greater the mechanical advantage will be. The heavier the object, the more force is needed to lift it, reducing the mechanical advantage. And the smaller the angle of the ropes, the greater the mechanical advantage will be.

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