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totallyclone
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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.
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