Two Pulleys, Two Strings and Two Blocks

In summary, the purpose of using two pulleys, two strings, and two blocks in an experiment is to demonstrate the principles of mechanical advantage and how they can be applied to lift heavier objects or change the direction of a force. The pulleys and strings work together to distribute the weight of the object being lifted across multiple strands of rope, reducing the amount of force needed to lift it. This is known as the principle of "doubling the force" in a pulley system. Factors such as the number of strands of rope, the angle of the ropes, and friction in the pulleys can affect the mechanical advantage in a two pulley system. A fixed pulley only changes the direction of the force, while a movable pulley
  • #1
ThEmptyTree
55
15
Homework Statement
Block ##1## and block ##2##, with masses ##m_1## and ##m_2##, are connected by a system of massless, inextensible ropes and massless pulleys as shown above.
Solve for the acceleration of block ##2## in terms of ##m_1, m_2## and ##g##. Assume that ”down” is positive. Express your answer in terms of some or all of the following: ##g, m_1##, and ##m_2##.
Relevant Equations
##\overrightarrow{F}=m\overrightarrow{a}##
Untitled.png


Someone pls solve this. I've done it but I'm not sure if it's correct. Thanks!
 
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  • #2
ThEmptyTree said:
I've done it but I'm not sure if it's correct.
Post your work and we'll let you know. :smile:
 
  • #3
Doc Al said:
Post your work and we'll let you know. :smile:
Uff

MIT OCW 801_210828_230323_106 (1).jpg


MIT OCW 801_210828_230323_107 (1).jpg
 
  • #4
I confirm your answers for the accelerations.
 
  • #5
haruspex said:
I confirm your answers for the accelerations.

Thanks again ӵ
 

FAQ: Two Pulleys, Two Strings and Two Blocks

How do two pulleys, two strings, and two blocks work together?

Two pulleys, two strings, and two blocks work together to create a mechanical advantage. The pulleys reduce the amount of force needed to lift the blocks, making it easier to lift heavier objects.

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

A fixed pulley is attached to a stationary object, while a movable pulley is attached to the object being lifted. A fixed pulley changes the direction of the force, while a movable pulley reduces the amount of force needed to lift the object.

How does the number of pulleys affect the mechanical advantage?

The more pulleys that are used, the greater the mechanical advantage. Each additional pulley reduces the amount of force needed to lift the object.

What is the purpose of using two strings in a pulley system?

The two strings in a pulley system allow for the weight of the object to be evenly distributed between the two strings. This helps to prevent the strings from breaking and ensures a smoother lifting motion.

Can a pulley system be used to lift objects vertically and horizontally?

Yes, a pulley system can be used to lift objects both vertically and horizontally. By changing the direction of the strings, the pulley system can be used to move objects in different directions.

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