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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:

Acceleration of `CM` of the roller (disc). Assume that the mass of the disc is `m` and neglect the mass of the connecting rod.

A

`(2Fcostheta)/(3m)`

B

`(Fsintheta)/(3m)`

C

`(2Fsintheta)/(3m)`

D

`(Fcostheta)/(3m)`

Text Solution

Verified by Experts

The correct Answer is:
A
`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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