Acceleration of pulley system physics problem

In summary, the acceleration of a pulley system is the rate of change of velocity over time. It can be calculated using the equation a = (m2 - m1)g / (m1 + m2), where a is the acceleration, m1 and m2 are the masses of the objects attached to the pulley, and g is the acceleration due to gravity. The number of pulleys does not affect the acceleration, as it only depends on the mass of the objects and the force of gravity. In an ideal system, the acceleration is the same for all objects, but friction can affect it by decreasing the available force for acceleration.
  • #1
mvpshaq32
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Homework Statement


knight_Figure_08_40.jpg

In the figure, find an expression for the acceleration of m1 (assume that the table is frictionless).

Homework Equations


The Attempt at a Solution


That picture of the second mass is stumping me because I have no idea what the heck is going on. It seems as if the second mass is fixed, but I honestly have no clue.
 
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  • #2
What are the forces acting on m1, on m2?
 

1. What is the acceleration of a pulley system?

The acceleration of a pulley system is the rate of change of velocity over time. It is a measure of how quickly the speed or direction of the system is changing.

2. How do you calculate the acceleration of a pulley system?

To calculate the acceleration of a pulley system, you can use the equation a = (m2 - m1)g / (m1 + m2), where a is the acceleration, m1 and m2 are the masses of the objects attached to the pulley, and g is the acceleration due to gravity (9.8 m/s^2).

3. How does the number of pulleys affect the acceleration of a pulley system?

The number of pulleys does not affect the acceleration of a pulley system. The acceleration depends on the mass of the objects attached to the pulley and the force of gravity acting on them.

4. Is the acceleration the same for all objects in a pulley system?

Yes, in an ideal pulley system, the acceleration is the same for all objects. This is because the tension in the rope connecting the objects is constant, and the objects are connected to each other, so their accelerations are equal.

5. How does friction affect the acceleration of a pulley system?

Friction can affect the acceleration of a pulley system, as it can decrease the amount of force available to accelerate the objects. This can be accounted for by including the force of friction in the calculation of the acceleration.

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