Correct Answer - A::B::D
The impulse exerted by the string on the cylinder is equal and opposite to the impulse exerted by the cylinder on the string.
`|vecJ|=40000xx0.25x10^(-3)=10N` s along the string. For marble,
`J=0-(2xx10cosalpha)`
As final velocity of marble along the string is zero
Putting `J=10Ns`, we get `alpha=60^(@)`
The string wraps up around the cylinder and marble moves in a circular path of varying radius with speed `10 sin alpha =5sqrt3 m//s`. The speed remain costasnt as only the tension force is present which is perpedicular to the velocity of the marble.
For string to break, the impulsive tension has to be
`ge2xx10^5N`
`40000x0.25xx10^(-3)ge2xx10^(5)xx/_ `
`/_ le0.05ms`