# Frictionless Multiple Body Problem with Inclined planes

• jennak314
In summary, the problem involves an m1 = 7.6 kg block and an m2 = 10.7 kg block connected by a rope over a frictionless peg on a frictionless incline. The goal is to find the acceleration of the blocks and the tension of the rope. The equation F=ma is relevant, but it is unclear what other equations are needed. A free-body diagram can be used to resolve the perpendicular and parallel components of each weight vector. Tension is a force that pulls the block towards the rope and the rope towards the block. Assuming the rope's mass is negligible, the tension will be the same at both ends of the rope. Equations from the free-body diagram will be needed to solve
jennak314

## Homework Statement

An m1 = 7.6 kg block and an m2 = 10.7 kg block, connected by a rope that passes over a frictionless peg, slide on frictionless incline. Find acceleration of boxes and tension of the rope.

## Homework Equations

F=ma
I'm not sure what else

## The Attempt at a Solution

I'm really not sure where to start... I drew a free-body diagram and resolved the perpendicular/parallel components of each weight vector. Do I find the net of those two forces? How does tension work? (that concept still confuses me in general)

jennak314 said:
How does tension work?
Tension acts as a force pulling the block towards the rope and, equally, the string towards the block.
You are not given a mass for the rope, so assume it is negligible. This means that despite the rope's accelerating the net force on it is effectively zero. This means you can assume the tension is the same at both ends of the rope.
Please post the equations you have from your FBDs. Try to assign unique symbols to each different force etc.

## 1. What is the "Frictionless Multiple Body Problem with Inclined planes"?

The frictionless multiple body problem with inclined planes is a physics problem that involves multiple objects on an inclined plane with no friction. It is used to study the motion and interactions of objects under these specific conditions.

## 2. What is the significance of studying this problem?

Studying the frictionless multiple body problem with inclined planes allows scientists to better understand the laws of motion and how objects behave under certain conditions. It also has applications in fields such as engineering and mechanics.

## 3. What are the key factors that influence the motion of objects in this problem?

The key factors that influence the motion of objects in this problem are the mass of the objects, the angle of the inclined plane, and the forces acting on the objects, such as gravity and normal force.

## 4. How does the absence of friction affect the motion of objects in this problem?

The absence of friction means that there is no resistance to the motion of the objects, allowing them to move freely without any external forces acting against them. This can result in different motion patterns and speeds compared to when friction is present.

## 5. What are some real-life applications of the frictionless multiple body problem with inclined planes?

This problem has applications in various fields such as roller coaster design, car and airplane mechanics, and even sports such as skiing. It can also be used to study the behavior of objects on an inclined surface in space, where there is minimal friction due to the lack of atmosphere.

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