A cuboid of height 10 cm, width 5 cm and 8 kg is kept on a rough horizontal ground as shown . The ground is so rough that we can assume that the questions indicated below. A boy applies a horizontal force F at the top edge of the cuboid.

IF the force applied is 2F, what is the initial angular acceleration of the cuboid ?

Options

A. `60 rad//s^(2)`
B. `30 rad//s^(2)`
C. `15 rad//s^(2)`
D. `240 rad//s^(2)`

Answer

A

Explanation

`Fxx0.1-mgxx0.05/2=Ialpha`
`I=M/3(omega^(2)+h^(2))=8/3(25/(10^(4))+100/(10^(4)))`
`=1/30 kg-m^(2)`
`L=(4-80xx1//40)/(1//30) =60 rad//s^(2)`