Centripetal Force Calculation for Hanging Partner

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SUMMARY

The discussion focuses on calculating the centripetal force required for a man holding a partner weighing 475 N while swinging in a circular motion with a radius of 6.50 m at a speed of 4.00 m/s. The calculations reveal that the mass of the partner is approximately 48.47 kg, leading to a centripetal force (FC) of 119.31 N. The total force (Ftotal) that the man must apply is 594.31 N, which includes both the centripetal force and the weight of the partner. The calculations are confirmed as correct, emphasizing the application of Newton's second law in the analysis.

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jehan4141
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Will you please tell me if my work is correct? My professor said to ask my TA for the even answers in prep for my quizzes on Fridays, but the TA told me there is no way to access even answers...somebody is not being honest. Anyhow, any help would be great. Thank you!

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In Figure 5.8 the man hanging upside down is holding a partner who weighs 475 N. Assume that the partner moves on a circle that has a radius of 6.50 m. At a swinging speed of 4.00 m/s, what force must the man apply to his partner in the straight-down position?

Wp = 475 N
Mp = 475/9.8 = 48.46938776 kg
r = 6.5 m
V = 4 m/s

FC = mv2 / r = (48.469)(42 / 6.5 = 119.31 N
Ftotal = FC + Wp = 119.31 + 475 = 594.31 N
 
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Correct.
But I would have started from Newton's 2nd law:
resultant force = m x acc (towards centre of circle)
Fpartner - wt of hanging man = m x centripetal acc
 
Thank you and for the tip!
 

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