Newton's Laws of Motion; tension

In summary, the problem involves two masses (M1 = 2.2kg, M2 = 3.2kg) initially at a height of 1.80m above the ground and a frictionless pulley at a height of 4.8m. The question asks for the maximum height reached by the lighter object after the system is released. To solve this, the acceleration of the lighter mass should be determined and then its velocity at the moment the heavier mass hits the ground. This velocity will be the launch speed of the lighter mass.
  • #1
wicked_vixen
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36. The two masses (M1 = 2.2kg, M2 = 3.2kg) are each initially 1.80m above the ground, and the massless frictionless pulley is 4.8m above the ground. What maximum height does the lighter object reach after the system is released? (Hint: First determine the acceleration of the lighter mass ad then its velocity at the moment the heavier one hits the ground. This is its launch speed.)

I'm having a hard time with understanding this
 
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  • #2
First of all Please don't put everything in bold. The whole point of putting something in bold is to give it emphasis and make it stand out, but if everything is in bold then what is the point... because now nothing stands out, and it is fairly more difficult on the eyes that way and less pleasant to read. Also just leave the Homework template headers the way they are and fill in your information under them, look at some other posts to see what I mean.

Well the first one is simple, the maximum force is 21750N and the mass is 2100kg, your equation is correct.
Just find "a" the acceleration, if 21750N is the maximum then that is the value you want because if it were greater it would break, and if it were any less then it would not be the maximum would it? So you need exactly the acceleration of the 2100kg mass that will give you 21750N of force.
F = ma, so 21750N = 2100kg * a

Maybe you can solve the others on your own now.
 
  • #3
Thanks :) I edited it already. Sorry for that.
 

FAQ: Newton's Laws of Motion; tension

What are Newton's Laws of Motion?

Newton's Laws of Motion are three physical laws that describe the relationship between an object's motion and the forces acting upon it. They were developed by Sir Isaac Newton in the late 17th century and are considered the foundation of classical mechanics.

What is the first law of motion?

The first law of motion, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an external force.

What is the second law of motion?

The second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be mathematically represented as F = ma, where F is force, m is mass, and a is acceleration.

What is the third law of motion?

The third law of motion, also known as the law of action and reaction, states that for every action, there is an equal and opposite reaction. This means that when an object exerts a force on another object, the second object will exert an equal and opposite force back on the first object.

What is tension in the context of Newton's laws of motion?

Tension is a force that is transmitted through a string, rope, cable, or any other type of flexible connector. In the context of Newton's laws of motion, tension can be considered an external force acting on an object, and can affect an object's motion and acceleration.

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