Whirling around a mass to find max force of tension

AI Thread Summary
The problem involves calculating the maximum and minimum tension in a string as a 3.0 kg mass is whirled in a vertical circle with a radius of 1.3 m at a constant velocity of 6.0 m/s. The equations used include centripetal force (Fc = mv²/r) and net force (ƩFy = ma). At the highest point, the minimum tension is calculated to be 53.7 N, while at the lowest point, the maximum tension is 113 N. The calculations were confirmed to be correct, ensuring the formulas applied were appropriate for the scenario. This analysis highlights the importance of understanding forces in circular motion.
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Homework Statement


An object of mass 3.0kg is whirled around in a vertical circle of radius 1.3m with a constant velocity of 6.0m/s. Calculate the maximum and minimum tension in the string.

mass=3.0kg
v=6.0m/s
radius=1.3m


Homework Equations


Fc=mv2/r
Fun=ma


The Attempt at a Solution


Here is my fbd where I show the mass when it is at the highest point and the lowest point.
tumblr_mk8o9cUBvL1qe908uo1_500.jpg


When it reaches top:
ƩFy=mac
Fc-Fg-Ft=0
Fc-Fg=Ft
(mv2/r)-mg=Ft
Ft=53.7N ∴minimum tension

When it reaches bottom:
ƩFy=mac
Ft-Fg-Fc=0
Ft=Fg+Fc
Ft=mg+(mv2/r)
Ft=113N ∴maximum tension
 
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Good! (I didn't check the math. The formulas are right).
 
rude man said:
Good! (I didn't check the math. The formulas are right).


Awesome! Good to hear! :blushing: Once again, thanks for taking your time to look it over for any errors heh
 
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