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A gardener presses the grasscutter with ...

A gardener presses the grasscutter with a force `F` at an angle `theta`. Assume the motion of grasscutter as pure rolling. Find the:

friction between the grasscutter (assumed as a disc) and ground.

A

`(Fsintheta)/3`

B

`(Fcostheta)/3`

C

`(2F)/3`

D

`(2Fcostheta)/3`

Text Solution

Verified by Experts

The correct Answer is:
B
`F costheta-f=ma` …………i
`fR=1/2mR^(2)alphaimpliesfR=1/2mR^(2)a/R`
`implies f=(ma)/2`………ii
From i and ii

`f=(Fcostheta)/3`
Now `a=(2f)/m=(2Fcostheta)/(3m)`
`flef_(1)implies(Fcostheta)/3lemuN`
`implies (Foscostheta)/3lemu(mg+Fsintheta)impliesFle(3mumg)/(costheta-3musintheta)`
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