Question

A $4kg$ swing in a vertical circle at the end of the chord $1m$ long. Find out the maximum speed at which it can swing if chord can sustain maximum tension of $140N$.

Answer 1

We know that maximum tension in vertical circular motion is at the bottom position where we get

$T-Mg=F_C=\frac{M{v}^2}{r}$ , here $F_c$=centripetal force

$\frac{(T-Mg)\times r}{M}=v^2$

$v^2=\frac{(140-40)\times 1}{4}=25$

$v=5m/s$