1.

In th efigure shown in fig. `10.33` , a bob attached with a light string of radius `R` is given as initial velocity `u=sqrt(4gR)` at the bottommost point. (a) At what height string will slack. (b) What is velocity of the bob just befare slacking of string.

Answer» Correct Answer - B::C
String will slack at height `h_(1)` , discussed in article `10.5` where,
`h_(1)=(u^(2)+gR)/(3g)=(5)/(3)R` , `(as u^(2)=4gR)`
`v=sqrt(u^(2)-2gh_(1))=sqrt(4gR-2gxx(5)/(3)R)`
`=sqrt((2)/(3)gR)`


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