Calculating Elastic Length in Vertical Circular Motion

AI Thread Summary
The discussion focuses on calculating the elastic length of a piece of elastic in vertical circular motion after a mass is added. A 4cm elastic stretches to 6.5cm under a 100g weight, and the problem involves determining the lengths at the top and bottom of the circular path after 0.2 seconds. Participants emphasize the importance of applying Newton's second law, considering both gravitational and tension forces. There is confusion regarding whether centripetal acceleration equals gravitational acceleration, which is clarified. The conversation highlights the need for clear communication and accurate calculations in mechanics problems.
Nightrider00
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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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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:
 
I am just confused whether the centripetal acceleration will be equal to the gravitational acceleration or not?
 

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(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:
 
So this is what i did... Is this okay
 

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

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

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