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A mass of 1 kg is just able to slide dow...

A mass of 1 kg is just able to slide down the slope of a rough inclined surface when the angle of inclination is 60°. What is the minimum force necessary to pull the mass up the inclined plane?
(g`=10m//s^2`)

A

17.32 N

B

34.64 N

C

10 N

D

5.5 N

Text Solution

Verified by Experts

The correct Answer is:
A
`theta=60^(@)` is the angle of repose
`:." "mu=tan60^(@)=sqrt3`

For pulling the body up the plane, the force required is
P=`mgsintheta+F=mgsintheta+muR`
`=mgsintheta+mumgcostheta`
`:. " "P=mg(sintheta+mucostheta)`
`:." "P=1xx10xx[(sqrt3)/(2)+sqrt3xx1/2]`
`=10sqrt3=10xx1.732=17.33N`
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