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BEFORE
Let the moment of inertia of the disc is
I = mR²
angular velocity of the disc= w
angular momentum (L) is written as
L=I ×w
L = mR² w
AFTER
Now, as 2 masses are attached to the ends of the
circular ring the moment of inertia becomes
I ' =mR² + MR² +MR²
I ' = mR² + 2 M R ²
I ' = (m+2M)R²
angular velocity = w/2
angular momentum
L ' = I ' × w /2
L ' = (m+2M)R² w/2
By conservation of angular momentum
L = L '
mR² w = (m+2M)R² w/2
m = m/2 +2M/2
m= m/2 + M
m/2m + M/ m = 1
1/2 + M/m = 1
M/m = 1 - 1/2
M /m = 2- 1 /2
M /m = 1/ 2
m/M = 2
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