Resultant force on a pulley system

To solve this problem, you will need to use trigonometric functions to calculate the components of the force in the x and y directions. The magnitude of the resultant force can then be found using the Pythagorean theorem. The direction can be found using inverse trigonometric functions. The couple can be calculated by finding the cross product of the two forces. In summary, to find the resultant force's magnitude, direction, and couple in the top (alternator) pulley, you will need to use trigonometric functions and the Pythagorean theorem. The 30° angle will affect the equations and the system's constant speed should also be taken into consideration.
  • #1
alex282
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Homework Statement



Could anyone give me an idea of how to start this problem to work out the resultant force's magnitude, direction and couple in the top (alternator) pulley?

Does the 30° angle affect the equations? As all the notes I have seem to only have pulleys with the force at each side in parallel to one another other. Also the system is running at a constant speed.

Homework Equations



I believe the equation needed is radius times force but again I can't seem to find any notes on how to answer this question.

The Attempt at a Solution



How to start the question is what I'm asking help with

Thanks for any help!
 

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  • #2
Yes, the angle affects the resultant.
 

FAQ: Resultant force on a pulley system

What is a pulley system?

A pulley system is a mechanical device consisting of a rope or belt wrapped around a wheel or set of wheels, used to change the direction of a force or to transmit power. It is commonly used to lift or move heavy objects.

How is resultant force calculated in a pulley system?

The resultant force in a pulley system is calculated by adding up all the forces acting on the system and taking into account the direction of each force. This can be done using vector addition or by using the principle of moments.

What factors affect the resultant force on a pulley system?

The resultant force on a pulley system is affected by the number of pulleys in the system, the angle of the rope or belt, and the weight of the object being lifted or moved. Friction and the weight of the pulley itself may also have an impact.

How does the direction of the pulley affect the resultant force?

The direction of the pulley affects the resultant force by changing the direction of the force required to lift or move an object. For example, a pulley system with a single fixed pulley will change the direction of the force by 180 degrees, while a system with multiple movable pulleys can change the direction of the force multiple times.

What are the practical applications of understanding resultant force on a pulley system?

Understanding resultant force on a pulley system is important in many engineering and everyday applications. It is used in construction to lift heavy materials, in elevators to move between floors, and in exercise equipment like weight machines. It is also used in physics experiments and calculations to understand the mechanics of forces and motion.

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