If the circle is in a plane parallel to the ground
(impossible unless at infinite speed or on tabletop because weight force down must be balanced by component of string force up)
The tension in the string is constant = m v^2/R
If the motion is in a vertical plane then at the top:
string tension = m v^2/R - mg (note that if negative, the ball does not stay in the circle but falls on your head)
AND
at the bottom
string tension = m v^2/R + mg
A ball at the end of a rope is swung in a circle that is parallel to the ground. If the ball is then swung around in a circle that is perpendicular to the ground, which of the following statements is true? Assume the speed and length of rope are the same in both cases.
a. Perpendicular circle has a different total centripetal force.
b.Weight force is independent of the parallel circle's motion.
c.The accelerations are different
d.The tension in the rope is the same for both cases.
Please explain for me.
1 answer