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A block of mass "5kg" is placed on a wed...

A block of mass "5kg" is placed on a wedge having inclination of `37^(@)` with the horizontal. Coefficient of friction between block and wedge is 0.8. Then select the correct statement.

A

Friction force between block and the wedge is `32 N`

B

Fricition force between block and the wedge is `30 N`.

C

Contact force between block and wedge is `80 N`.

D

Contact force between block and wedge is `40 N`.

Text Solution

Verified by Experts

The correct Answer is:
B
`f_(max)=mumgcostheta=8xx5xx10xx(4)/(5)=32`
as `f_(max)lt mgsintheta` hence
friction `=mgsintheta=5xx10xx(3)/(5)=30` Newton
and `N=mgcostheta=40N`
`rArr` Contact force `=sqrt((30)^(2)+(40)^(2))=50N`
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