Non-uniform circular motion, [stunt Car inside a ring]

In summary, the conversation revolved around determining the forces acting on a car at the bottom of a circular loop and how those forces affect its motion. The correct forces were identified as the weight and normal force, which must be equal to the centripetal force in order for the car to maintain circular motion. It was also noted that the normal force may vary in order to compensate for changes in direction and maintain constant velocity. Similar considerations apply to other objects moving in a vertical circle.
  • #1
Krishan93
7
0

Homework Statement


[PLAIN]http://img695.imageshack.us/img695/3864/unled1dxu.jpg

Homework Equations



F=(mv^2)/r

The Attempt at a Solution


NetForce=0
N-W=0

===
A free body diagram of the car at the bottom would just incorporate a downwards W force and an upwards N force together equalling 0, wouldn't it?
 
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  • #2
Krishan93 said:
A free body diagram of the car at the bottom would just incorporate a downwards W force and an upwards N force together equalling 0, wouldn't it?
Those are the correct forces, but why would they add to 0? The car is accelerating!
 
  • #3
Doc Al said:
Those are the correct forces, but why would they add to 0? The car is accelerating!

Accelerating as in change of direction?
I would think that the bottom of the loop is the maximum speed of the car, past that half the car begins to decelerate, no?
 
  • #4
Krishan93 said:
Accelerating as in change of direction?
Yes. It's executing circular motion, so what kind of acceleration must exist?
I would think that the bottom of the loop is the maximum speed of the car, past that half the car begins to decelerate, no?
You are told that the speed is constant.
 
  • #5
Doc Al said:
Yes. It's executing circular motion, so what kind of acceleration must exist?

You are told that the speed is constant.

I think I got it. Knowing constant velocity did help.
Given the top of the loop circumstances, the only forces acting upon the car are N and W, together they equal the centripetal force.
Keeping the same velocity at the bottom, the N and W act against each other, but the centripetal force still has to equal that of when it was at the top in order to maintain circular motion.
Apparently N takes on a greater value to compensate I guess and I get an answer of 20.1

How's my reasoning? Is this the same reasoning with planes flying in a circular loop as well?
 
  • #6
Krishan93 said:
I think I got it. Knowing constant velocity did help.
Given the top of the loop circumstances, the only forces acting upon the car are N and W, together they equal the centripetal force.
Keeping the same velocity at the bottom, the N and W act against each other, but the centripetal force still has to equal that of when it was at the top in order to maintain circular motion.
Apparently N takes on a greater value to compensate I guess and I get an answer of 20.1
Good!
How's my reasoning? Is this the same reasoning with planes flying in a circular loop as well?
Similar considerations apply to anything moving in a vertical circle. (Of course, the speed of the plane will not necessarily be constant.)
 

FAQ: Non-uniform circular motion, [stunt Car inside a ring]

What is non-uniform circular motion?

Non-uniform circular motion is a type of motion in which an object moves along a circular path at varying speeds. This means that the object's velocity is constantly changing, even though it is moving in a circular path.

How is non-uniform circular motion different from uniform circular motion?

In uniform circular motion, the object moves at a constant speed along a circular path. This means that its velocity remains constant, even though it is changing direction. In non-uniform circular motion, the object's velocity is constantly changing, meaning it is accelerating.

What factors affect the speed of an object in non-uniform circular motion?

The speed of an object in non-uniform circular motion is affected by the centripetal force, which is the force that keeps the object moving in a circular path, and the object's distance from the center of the circle. Other factors that can affect the speed include any external forces acting on the object, such as friction or air resistance.

How does a stunt car inside a ring exhibit non-uniform circular motion?

A stunt car inside a ring exhibits non-uniform circular motion because it is constantly changing its speed and direction as it moves along the circular path. This is due to the forces acting on the car, such as the centripetal force from the ring and any external forces like air resistance.

Can non-uniform circular motion be calculated using the laws of motion?

Yes, non-uniform circular motion can be calculated using Newton's laws of motion. The first law states that an object will remain at rest or in uniform motion unless acted upon by an external force. The second law states that force is equal to mass multiplied by acceleration. And the third law states that for every action, there is an equal and opposite reaction. These laws can be used to calculate the forces and acceleration involved in non-uniform circular motion.

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