For a mass m attached to a string of length L and swings horizontally with a tangential speed of v, the horizontal component of the tension of the string is given by:
T=mv²/r
If it swings in a vertical, this tension has to be adjusted for the weight of the mass due to gravity. At the top, the tension is reduced by mg, (g=acceleration due to gravity) while at the bottom, the weight is additive to the tension.
If a mass attached to the center of a vertical circle swings around at a fixed speed (v) and gravity pulls straight downward, would the tensions in the rope attached to the mass be different at the top of the circle, straight down to bottom of circle, and directly straight out from the center of the circle? Would they equal? If not, which one has the most and least tension?
1 answer
1 answer