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A heavy body of mass 25kg is to be dragg...

A heavy body of mass `25kg` is to be dragged along a horizontal plane (`mu` = `(1)/(sqrt(3))`. The least force required is `(1 kgf = 9.8 N)`

A

25 kgf

B

2.5 kgf

C

12.5 kgf

D

6.25 kgf

Text Solution

Verified by Experts

The correct Answer is:
C

Let the body is acted upon by a force at an angle `theta` with horizontal.
FBD:
`Fcostheta=mu9mg-Fsintheta)`
`impliesF=(mumg)/(costheta+musintheta)`
For min. force: `(costheta+musintheta)` should be max.
`implies-sintheta+mucostheta=0`
`impliestantheta=mu` or `theta=tan^-1((1)/(sqrt3))=30^@` substituting
`F_(min)=12.5kgf`
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