Pulley system -- Calculate the mass that balances this pulley system

In summary, the conversation discussed a pulley system and the calculation of the force of A pulling on the system. The free body diagram was also mentioned, with one person seeking help and clarification. The tension in the rope and its variation were questioned, and the tension force on mass A and B were also mentioned. Some suggestions were made about working symbolically and avoiding unnecessary arithmetic.
  • #1
FFTB
1
0
Homework Statement
Calculate the mass of mB that makes the system to be in equilibrium. Neglect the possible friction
Relevant Equations
Sin cos tan
pulley.png

I've been stuck at this pulley system for a while.
I've calculated the force of which A pulls => FA = sin25*50*9.82 = 208.5 N
But I get stuck on the free body diagram.
Can someone help and explain the freebody diagram
uträkning.png
 

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  • #2
Let T be the tension in the rope. Does it vary along the rope? What is the tension force on mass A? On mass B?
 
  • #3
Your work looks ok except for ##m_B=T##. What have you missed out?
As a matter of style, learn to work entirely symbolically, only plugging in numbers at the end. It has many advantages.
In the present case, you could have avoided some arithmetic since g would cancel.
 

FAQ: Pulley system -- Calculate the mass that balances this pulley system

What is a pulley system?

A pulley system is a mechanism that uses a rope or belt wrapped around a wheel (pulley) to lift or move heavy objects. It allows for the distribution of weight and makes lifting easier.

How does a pulley system work?

A pulley system works by changing the direction of the force needed to lift an object. By using multiple pulleys, the weight of the object is distributed, making it easier to lift. The more pulleys used, the less force is required to lift the object.

What is the formula for calculating the mass that balances a pulley system?

The formula for calculating the mass that balances a pulley system is M = W/2, where M is the mass needed to balance the system and W is the weight of the object being lifted.

How do I determine the number of pulleys needed in a pulley system?

The number of pulleys needed in a pulley system depends on the weight of the object being lifted and the desired amount of force needed to lift it. Generally, the more pulleys used, the easier it is to lift the object. However, more pulleys also mean a longer rope or belt is needed.

What are the advantages of using a pulley system?

The advantages of using a pulley system include making it easier to lift heavy objects, distributing weight evenly, and reducing the amount of force needed to lift an object. It is also a simple and efficient way to move objects vertically or horizontally.

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