Grade 11Modern Physics

A circular hole of radius 1m. is cut off from a disc of radius 6m.The center of the hole is 3m. from the center of the disc.Find the center of mass of remaining disc.

raj asopa

8 Years agoGrade 11

1 Answer

Eshan

8 Years ago

Dear student,

The disc with hole can be assumed to be a whole disc of radius 6m with its given mass, say M+ a disc of radius 1m whose center is at distance 3m from that of bigger disc and has mass ‘-m’

Since the mass distribution on both of them must be uniform,

$\dfrac{M}{\pi (6^2)}=\dfrac{m}{\pi (1^2)}$
$\implies m=\dfrac{M}{36}$
The distance of center of mass of the system from the center of the larger disc will be

$\dfrac{M(0)+(-m)(3)}{M+m}=-\dfrac{3}{37}m$

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A circular hole of radius 1m. is cut off from a disc of radius 6m.The center of the hole is 3m. from the center of the disc.Find the center of mass of remaining disc.

raj asopa

1 Answer

Eshan

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