- #1
UrbanXrisis
- 1,196
- 1
A ball of mass m attached to a string of length L moves in a circle in a uniform vertical plane. When the ball is at the top of its path, the tension in the string is equal to its weight. Assume that air resistance is negligible.
1. Total force of the ball at the top in terms of m, L, and g:
Okay, total force in a circular motion diagram is:
Centripetal Force= mv^2/r
Centripetal Force=mg+tension
Since tension is the same as weight on the top of the circle, then:
Centripetal Force=mg+mg=2mg
is this the correct way of thinking?
2. speed at the ball at the top?
2mg=mv^2/r
v=2gr
correct?
3. speed at the bottom?
it would be the same as on the top right?
4. Tension at the bottom:
T=mg correct?
5. Speed of the ball when the string is horizonal:
It would be the same correct?
1. Total force of the ball at the top in terms of m, L, and g:
Okay, total force in a circular motion diagram is:
Centripetal Force= mv^2/r
Centripetal Force=mg+tension
Since tension is the same as weight on the top of the circle, then:
Centripetal Force=mg+mg=2mg
is this the correct way of thinking?
2. speed at the ball at the top?
2mg=mv^2/r
v=2gr
correct?
3. speed at the bottom?
it would be the same as on the top right?
4. Tension at the bottom:
T=mg correct?
5. Speed of the ball when the string is horizonal:
It would be the same correct?