A sphere of radius 0.1 mand mass `8 pi `kg is attached to the lower end of a steel wire of length 5 mand diamet `10^(@)`m. The wire is suspended from 5.22 m high ceiling of a room. When sphere is made to swing, it just graz the floor at its lowest point, due to the clongation Y for stoel is `2 xx 10^(11)' N//m^(2)',g=10 m//s^(2)`

The tension in the wire at mcan position during oscillations. (Approximately)

Options

A. `100 pi ` N
B. `200 pi` N
C. `300 pi` N
D. zero

Answer

B

Explanation

`(mv^(2))/(r ) = T - Mg = 200 pi -8 pi g = 628 - 251 .2 = 376.8`
`U^(2) = (376.8xx 5.02)/(8 pi ) = 75.3`
`:. U = sqrt(75.3) ms^(-1)`