Solve Pulley Question Homework: Find Acceleration, Tension & Speed

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In summary, the conversation is about solving for the acceleration, tension, and speed of two objects connected by a string over a frictionless pulley. The free body diagrams of the objects are discussed, and the use of Newton's second law is suggested to solve for the unknowns. A drawing is also provided to aid in understanding the problem.
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student 1
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Homework Statement


Two objects are connected by a light string that passes over frictionless pulley. Draw free body diagram of both objects. Assuming the incline is frictionless, m1= 2.00kg m2= 6.00 kg and the angle is 55. A. find the accelerations of the objects, B. the tension in the string. C. the speed of each object 2.00 seconds after they are released from rest.

The picture is a triangle with M2 sitting on the hypotenuse connected to the pulley and M1 hanging from the pulley. The angle that is 55 is not the one the pulley is on. I hope this helps!


Homework Equations





The Attempt at a Solution


The free body diagrams are confusing me and I have no clue where to go to find the acceleration even if I did have the right diagram drawn.
 
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  • #2
Apply Newton's 2nd law to both objects and solve for a. Likewise, you can solve for T, as well.
 
  • #3
How would you solve for T?
 
  • #4
Hi student_1,

If it's the drawing of the free body diagrams that are giving you trouble, could you post a picture of what you got? Or at least describe how you drew them?

If you have the right diagrams, then what equations do you get from them (following konthelion's advice about using Newton's second law). You solve for a and T from those equations.
 
  • #5
  • #6
Look at each mass seperately and use Newton's 2nd law to find the acceleration. So determine which forces are acting on each object and then you will be able to solve for acceleration.
 

What is the purpose of solving pulley questions?

The purpose of solving pulley questions is to understand the principles of pulleys and their role in mechanics. By solving these types of problems, scientists can develop their problem-solving skills and apply concepts such as acceleration, tension, and speed to real-world scenarios.

How do you find acceleration in a pulley system?

To find acceleration in a pulley system, you can use the equation a = (m1-m2)g/(m1+m2), where m1 and m2 are the masses on either side of the pulley and g is the acceleration due to gravity. This equation assumes that the pulley is massless and there is no friction.

What is tension in a pulley system?

Tension in a pulley system refers to the force exerted by a string, rope, or cable on an object. In a simple pulley system, the tension on both sides of the pulley is equal. However, in more complex systems, the tension may vary depending on the mass of the objects and the arrangement of the pulleys.

How do you calculate tension in a pulley system?

To calculate tension in a pulley system, you can use the equation T = ma + mg, where T is the tension, m is the mass of the object, a is the acceleration, and g is the acceleration due to gravity. This equation takes into account the weight of the object and the force needed to accelerate it.

What is the relationship between speed and pulleys?

In a pulley system, the speed of the objects on either side of the pulley is inversely proportional to their masses. This means that if one object has a larger mass, it will move slower than an object with a smaller mass. Additionally, the speed of the objects will also depend on the number and arrangement of the pulleys in the system.

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