Calculating Net Force on a Spinning Ball

AI Thread Summary
To calculate the net force on a spinning ball with a mass of 0.500 kg and a string length of 1.02 m, the focus is on the top point of its circular motion. The ball has varying speeds at different points, with the highest speed at the bottom and the lowest at the top. At the top and bottom points, tangential acceleration is zero due to the symmetry of the motion, meaning only gravitational force needs to be considered for net force calculations. The discussion emphasizes the importance of understanding when tangential acceleration is present during the swing. Overall, the net force can be determined using gravitational force alone at these critical points.
synergix
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Homework Statement



Mass of ball=0.500kg string length=1.02m
I have a motion diagram of a ball being spun in a counter clockwise direction. there are four points on the circular diagram this is the best I can do right now

......v= 4.0m/s
......|
......|
v=6.0m/s ---------- v= 6.0m/s
......|
......|
...v=7.5m/s

calculate the value(in N) of the net force at the top point. What law are you using?

The Attempt at a Solution



I know how to calculate if their is tangential + radial acceleration but If anyone could explain why there would or would not be tangential acceleration at the top and bottom point of the swing that would be very helpful because I am not sure. I am leaning towards using just the force of gravity on the ball for my final answer.
 
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synergix said:
I know how to calculate if their is tangential + radial acceleration but If anyone could explain why there would or would not be tangential acceleration at the top and bottom point of the swing that would be very helpful because I am not sure. …

Hi synergix! :smile:

From the symmetry, the speed must be at a minimum or maximum at the top or bottom, so the tangential acceleration will be zero. :wink:
 
Thank you very much! Tiny Tim :) But their would be tangential acceleration up until the instant it reached the top or bottom right?
 
Yup! :biggrin:
 
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