Pulley acceleration Problem

In summary, the problem involves two blocks connected by a massless string over a massless and frictionless pulley. An upward force F is applied to the pulley. The masses of the blocks are given as 20.0 kg and 10.0 kg. The question is asking for the acceleration of block B when the force F is 294 N. The relevant equations are F = ma. The student has consulted resources such as Hyperphysics and Physics Classroom for similar problems. However, there is confusion about the acceleration of block B, as it did not accelerate at a force of 124 N. The expert summarizer notes that the 124 N force is not mentioned in the original problem statement and prompts for clarification.
  • #1
Prof. 27
50
1

Homework Statement


The masses of blocks A and B in the figure (Figure 1) are 20.0 kg and 10.0 kg, respectively. The blocks are initially at rest on the floor and are connected by a massless string passing over a massless and frictionless pulley. An upward force F⃗ is applied to the pulley.

Find the acceleration b of block B when F is 294 N?

Homework Equations


F = ma

The Attempt at a Solution


Hyperphysics and Physics Clasroom Reading
Looking at past problems I got right that were similar.

Essentially, I get it right that the acceleration a of block A is equal to zero at that force and that at 124 N both blocks have acceleration 0, but doesn't that mean that the acceleration of block B is always zero since the it didn't accelerate at 124 N? That was a net force, so it should have caused acceleration yes?
 
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  • #2
Prof. 27 said:

Homework Statement


The masses of blocks A and B in the figure (Figure 1) are 20.0 kg and 10.0 kg, respectively. The blocks are initially at rest on the floor and are connected by a massless string passing over a massless and frictionless pulley. An upward force F⃗ is applied to the pulley.

Find the acceleration b of block B when F is 294 N?

Homework Equations


F = ma

The Attempt at a Solution


Hyperphysics and Physics Clasroom Reading
Looking at past problems I got right that were similar.

Essentially, I get it right that the acceleration a of block A is equal to zero at that force and that at 124 N both blocks have acceleration 0, but doesn't that mean that the acceleration of block B is always zero since the it didn't accelerate at 124 N? That was a net force, so it should have caused acceleration yes?
It was the net force on what? That force acts on the pulley, but other forces act on the pulley.
Where did the 124N come from, it's not in the problem statement as given.
 

What is a pulley acceleration problem?

A pulley acceleration problem is a physics problem that involves calculating the acceleration of a pulley system. This type of problem often involves multiple masses connected by strings or ropes that pass over one or more pulleys.

What factors affect the acceleration of a pulley system?

The acceleration of a pulley system is affected by several factors, including the masses of the objects connected to the pulley, the tension in the ropes, and the friction between the ropes and the pulley. The angle at which the ropes are attached to the pulley can also impact the acceleration.

How do you calculate the acceleration of a pulley system?

To calculate the acceleration of a pulley system, you can use the equation a=(m1-m2)/(m1+m2)g, where m1 and m2 are the masses of the objects connected to the pulley and g is the acceleration due to gravity. This equation assumes that there is no friction or mass in the pulley itself.

What is the difference between a fixed and a movable pulley?

A fixed pulley is attached to a stationary object and only changes the direction of the force, while a movable pulley is attached to a moving object and can amplify the force. In a pulley acceleration problem, the presence of a movable pulley can change the acceleration of the system.

How can pulley systems be used in real-life applications?

Pulley systems are commonly used in everyday life in various applications, such as elevators, cranes, and exercise machines. They are also utilized in industrial settings for lifting and moving heavy objects. The use of pulley systems allows for the amplification and redirection of forces, making tasks easier and more efficient.

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