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Parminder Radhe Ramanathan
Asked: 2022-11-05T14:08:01+05:30 In:

A disc of mass `m` and radius `r` placed on a routh horizontal surface. A cue of mass `m` hits the disc at a height `h` from the axis passing through centre and parallel to the surface. The disc will start pure rolling for.
A. `hltr/3`
B. `h=r/2`
C. `hgtr/2`
D. `hger/2`

A disc of mass `m` and radius `r` placed on a routh horizontal surface. A cue of mass `m` hits the disc at a height `h` from the axis passing through centre and parallel to the surface. The disc will start pure rolling for.
A. `hltr/3`
B. `h=r/2`
C. `hgtr/2`
D. `hger/2`
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1 Answer

  1. Correct Answer – B
    Linear momentum is conserved, `mv=mv`. Angular momentum abouty centre of the disc.
    `=mvh=-Iomega=(mr^(2))/2 omega` or `omega=(2vh)/(r^(2))`
    For pure rolling `v=r omega=(2vh)/r`
    or `h=r//2`, for pure rolling.

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