Question

The maximum tension that a 0.50 m

string can tolerate is 14 N. A
0.25-kg ball attached to this string
is being whirled in a vertical circle.
What is the maximum speed the
ball can have the top of the circle?

Answer 1

the string experiences max tension at the lowest point,

By Work energy theorem, the min speed required at the lowest point to complete a vertical circle is
`√(5gl)` where L is the length of the string, corresponding to this the max tension comes out to be 6mg=15N, thus we can say that the ball will never be able to complete the vertical circle,

this is the actual scenario, and the question is irrelavent.

but if need be, to get an answer,

at the top point,

T + mg = m
`v^(2)`/r

14 + 15 = 0.25*
`v^(2)`*2

`√(58\\)` = v