Vertical loop

  • Thread starter Atilla1982
  • Start date
  • #1
Atilla1982
18
0
A stone with mass 2,0kg is tied to a rope with radius 1 meter to the circle center, and has the velocity 4 m/s.

a) What's the tension on the rope on the top point of the circle?

b) What's the tension on the rope on the bottom point of the circle?


Here's my attempt to solve these.

a) Fc = mv^2/r Fg= mg Ft= the force applied on the rope

Fc=Ft + Fg
Ft=Fc - Fg
Ft=mv^2/r - mg
Ft=2*4^2/1 - 2*9,8
Ft=12,4 N

b)
Fc=Ft - Fg
Ft=Fc + Fg
Ft=mv^2/r + mg
Ft=2*4^2/1 + 2*9,8
Ft=51,6 N

Can anyone please verify that this is correct?
 

Answers and Replies

  • #2
Doc Al
Mentor
45,461
1,947
Both of your solutions are correct.
 

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