What is the Acceleration and Tension in an Inclined Pulley System?

In summary, the conversation is about solving for acceleration and tension using the formula ##\sum \vec{F} = m\vec{a}##. The first step is to draw a free-body diagram for each mass and resolve forces in a pair of directions. This will lead to two equations of the form net force = mass * net acceleration for each mass. The person asking for help is advised to draw the diagrams and post them along with the equations they get.
  • #1
lames
6
0

Homework Statement



please take a look at the picture

m1= 4kg
m2= 5kg
angle is 30 degrees
(surfaces are frictionless)

find the acceleration and the tension
what are the formulas used for solving this?
 

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  • #2
Start by drawing a free-body diagram for each mass.
The formula is ##\sum \vec{F} = m\vec{a}##
 
  • #3
Simon Bridge said:
Start by drawing a free-body diagram for each mass.
The formula is ##\sum \vec{F} = m\vec{a}##

a little more help?
 
  • #4
Have you ever drawn a free-body diagram before?
 
  • #5
Simon Bridge said:
Have you ever drawn a free-body diagram before?

yes but how will that help me?
 
  • #6
lames said:
yes but how will that help me?
Once you have drawn each diagram (one per mass), you should resolve forces in some pair of directions (common ones are horizontal, vertical, parallel to slope, normal to slope - any two of those will do, but it's usual to pick an orthogonal pair). That should allow you to write down two equations of the form net force = mass * net acceleration for each.
Draw the diagrams, post either the diagrams or descriptions of ithem, say which ways you are resolving, and post the equations you get.
 
  • #7
What haruspex said - draw a fbd and see.
 

FAQ: What is the Acceleration and Tension in an Inclined Pulley System?

What is an inclined pulley with table?

An inclined pulley with table is a simple machine that consists of a pulley attached to a table at an angle. It is used to change the direction of the force applied to an object, making it easier to lift or move heavy objects. The table provides a stable surface for the pulley to rest on and can be adjusted to different angles to change the mechanical advantage of the system.

How does an inclined pulley with table work?

An inclined pulley with table works by distributing the weight of an object between the downward force of gravity and the upward force of the pulley. The angle of the table determines the mechanical advantage of the system, with a higher angle providing a greater advantage. As the rope or cable attached to the pulley is pulled, the object is lifted by a smaller force than would be needed without the pulley.

What are the advantages of using an inclined pulley with table?

The main advantage of using an inclined pulley with table is that it reduces the amount of force needed to lift or move an object. This can make tasks easier and more efficient, especially when dealing with heavy objects. It also allows for the direction of the force to be changed, which can be useful in certain situations.

What are some common applications of an inclined pulley with table?

An inclined pulley with table can be used in a variety of applications, such as lifting heavy objects in construction or manufacturing, hoisting sails on a sailboat, or even in simple tasks like lifting a bucket of water from a well. It is also commonly used in physics experiments to demonstrate the principles of mechanical advantage and simple machines.

Are there any limitations to using an inclined pulley with table?

While an inclined pulley with table can make tasks easier, there are some limitations to consider. The system is not 100% efficient, meaning some energy is lost due to friction and other factors. It also requires a stable surface for the table to rest on and may not be suitable for all types of objects or situations. Additionally, the angle of the table must be carefully adjusted to achieve the desired mechanical advantage, which may require some trial and error.

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