Solve Pulley Mass System - Relative Acceleration, Tension in Strings

In summary, a pulley mass system is a mechanical system that uses pulleys to change the direction of a force or transmit mechanical power. To solve a pulley mass system, a free body diagram must be drawn and Newton's second law used to find the unknown quantities. Relative acceleration in this system refers to the acceleration of one mass relative to another, and can be calculated by finding the difference in acceleration between the masses. The tension in the strings can be found using the equation T=ma, and can be affected by factors such as the mass of the objects, the number of strings, and the forces and angles involved.
  • #1
desperate4phys
1
0
can sumone please explain me how to solve multiple pulley systems...right from relative acceleration to tension in srings...evrything in pulleys...
 
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  • #2
That is too big a question for one topic.
You must do some research.

Fundamentally the tension in the rope is assumed to be the same throughout it's length and it is assumed that the rope does not stretch. The number of times the rope passes between the two blocks decides the total tension between the blocks.

Start with; http://en.wikipedia.org/wiki/Pulley#Rope_and_pulley_systems
 

FAQ: Solve Pulley Mass System - Relative Acceleration, Tension in Strings

What is a pulley mass system?

A pulley mass system is a type of mechanical system that uses one or more pulleys to change the direction of a force and/or to transmit mechanical power. It typically consists of multiple masses connected by strings or ropes that run over one or more pulleys.

How do you solve a pulley mass system?

To solve a pulley mass system, you must first draw a free body diagram of the system, identifying all the forces acting on each mass. Then, you can use Newton's second law (F=ma) to write equations for the acceleration of each mass. Finally, you can use the equations to solve for the unknown quantities, such as the relative acceleration and tension in the strings.

What is relative acceleration in a pulley mass system?

Relative acceleration in a pulley mass system refers to the acceleration of one mass relative to another. Since the masses are connected by strings, they will have the same relative acceleration. This can be calculated by finding the difference in acceleration between the two masses and dividing by the number of strings connecting them.

How do you find the tension in the strings in a pulley mass system?

To find the tension in the strings, you can use the equation T=ma, where T is the tension, m is the mass of the object being accelerated, and a is the acceleration of the object. You can also use this equation for each individual mass in the system, as long as you take into account the direction of the tension and acceleration for each mass.

What factors can affect the tension in a pulley mass system?

The tension in a pulley mass system can be affected by several factors, including the mass of the objects, the number of strings connecting the objects, and the direction and magnitude of the forces acting on the objects. The presence of friction and the angle of the strings can also affect the tension in the system.

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