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A uniform cube of mass 4kg and side 30cm...

A uniform cube of mass `4kg` and side `30cm` is placed on a fricitionless horizontal surface. A vertical force `F` is applied to the edge as shown in the figure. Choose the most appropriate option(s). (take `g=10m//s^(2)`)

A

Cube will move in the upward direction if `F gt 40 N`

B

Cube will not perform any type of translation or roataion motion if `10N lt F lt 20N`

C

Cube will begin to perform rotational motion if `20 N lt F lt 40N`

D

Normal reaction applied by the surface shifts to a distance `5cm` from centre `C` of the cube if `F=10N`

Text Solution

Verified by Experts

Momentum of segment of mass `dm` and length `dl`
`dvecp=d "mu"(costhetahati+sinthetahatj)`
`=u lambda[dlcosthetai+dlsinthetahatj]`
`vecP=mu lambda[intdxhati+intdyhatj]`
`vecp=u lambda[dhati+hhatj]`
`P=u lambdasqrt(d^(2)+h^(2))`
`=1xx1sqrt(3^(2)+4^(2))=5kg-m//s`
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