What is the type of current obtained by finding the square of the currents and then finding their average and then fining the square root?

Options

A. RMS current
B. Average current
C. Instantaneous current
D. Total current

Explanation

Consider the diagram where a sphere of m and radius R, struck horizontally at height h above the floor.

The sphere will roll without slipping when `omega=(v)/(r )`. Now according to conservation of angular momentum.
Angular momentum before struck = Angular momentum after struck
`mv(h-R)=Iomega=((2)/(5)mR^(2))((v)/(R))`
`mv(h-R)=(2)/(5)mvR`
`h-R=(2)/(5)Rimpliesh=(7)/(5)R`
Therefore, the sphere will roll without slipping with a constant velocity and hence, no loss of energy.
(d) `rarr` (i).
Torque due to applied force, F about centre of mass `tau-F(h-R)` (Clockwise)
For `tau=0, h=R`, sphere will have only translational motion. It would lose energy by friction.
(b) `rarr` (iv)
The sphere will spin clockwise when
`taugt0implieshgtR`
(c ) `rarr` (ii)
The sphere will spin anti-clockwise when,
`tault0`
`therefore hltR`
(a) `rarr` (iii)