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A uniform disc of mass m, radius R is pl...

A uniform disc of mass `m`, radius `R` is placed on a smooth horizontal surface. If we apply a horizontal force `F` at `P` as shown in the figure. If `F = 4 N, m= .1 kg, R = 1 m` and `r = 1/2 m` then, find the:

angular acceleration of the disc. `(rads^(-1))`

Text Solution

Verified by Experts

The correct Answer is:
4
The applied force pulls the `CM` of the disc with an acceleration `a` (say) and rotates the disc with an angular acceleration `alpha` (say). Referring to `FBD`, we have

Force equatio `F_(x)=ma_(x)`
`a_(x)=F/m=4/1=4ms^(-2)`
Torque equation `tau(=rF)=mk^(2).alpha`
`alpha=(Fr)/(mk^(2))=(4.R//2)/(1.R^(2)//2)`
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