D

How would you compute vertical circular motion?

3 viewed last edited 1 month ago
Anonymous
0

For example, what is the ratio of the tension in a string used to rotate a 5 kg mass at a length of 3m with an constant angular speed of 40m/s at the top and bottom positions of the rotations?

Vivekanand Vellanki
1

Lets first draw a figure:



The forces acting on the string are the weight of the mass attached to the string and the centrifugal force.


At point A, both are in the same direction; while at B they are in opposite directions.


The ratio would be \frac{\left(W-F\right)}{\left(W+F\right)}


where W=mg and

F=\frac{mv^2}{r}


Substituting in the formula should give you the ratio.