Calculating Elastic Length in Vertical Circular Motion

In summary, a piece of 4cm elastic stretches to 6.5cm when 100g mass is added. When swung with constant angular velocity in the vertical circular direction, the length at the top and bottom of the circular motion can be found at Time=0.2s. The centripetal acceleration is not equal to the gravitational acceleration in this scenario, and the radius is not 6.5cm.
  • #1
Nightrider00
4
0

Homework Statement



a piece of 4cm elastic stretches to 6.5cm when 100g mass is added. the same piece of elastic is now swung with constant angular velocity in the vertical circular direction.
find the length at the top and bottom of the circular motion when Time=0.2s


Homework Equations





The Attempt at a Solution

 
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  • #2
Welcome to PF!

Hi Nightrider00! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
  • #3
I am just confused whether the centripetal acceleration will be equal to the gravitational acceleration or not?
 

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  • #4
(just got up :zzz: …)
Nightrider00 said:
I am just confused whether the centripetal acceleration will be equal to the gravitational acceleration or not?

no …

almost everything in mechanics comes down to good ol' Newton's second law (F = ma) …

here, there are two forces (gravity and tension), and both must be put into the F = ma equation :smile:
 
  • #5
So this is what i did... Is this okay
 

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  • #6
(this is very difficult to read … can't you type it? :redface:)

no, the radius is not 6.5 cm
 
  • #7
oh okay.. i get it nw.. thanks a lot for the help..:-)
 

1. What is vertical circular motion?

Vertical circular motion is a type of motion in which an object moves along a circular path in a vertical plane. This means that the object's path is perpendicular to the surface it is moving on.

2. What is the centripetal force in vertical circular motion?

The centripetal force in vertical circular motion is the force that keeps the object moving in a circular path. It is directed towards the center of the circle and is responsible for changing the direction of the object's velocity at each point along the path.

3. How is the speed of an object in vertical circular motion related to its radius of curvature?

The speed of an object in vertical circular motion is inversely proportional to its radius of curvature. This means that as the radius of curvature decreases, the speed of the object increases, and vice versa.

4. Is vertical circular motion an example of uniform circular motion?

Yes, vertical circular motion is an example of uniform circular motion. This means that the object moves at a constant speed along the circular path, but its velocity and acceleration are constantly changing due to the changing direction of its motion.

5. How does the weight of an object affect its vertical circular motion?

The weight of an object does not affect its vertical circular motion. This is because weight is a force that acts vertically downwards, while the centripetal force in vertical circular motion acts perpendicular to the surface of motion. As long as the centripetal force is greater than the weight of the object, it will continue to move in a circular path.

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