a circular disc is rotating about its natural axis with angular velocity of 10 rad . a second disc of same mass is joined to it coaxially if the radius of disc ids half th radius of the first then they togethert rotates with an angular velocity plzzzzz plz can somebody answer
answer is 8rad i needa know the method guys a hlping hand out ya plz
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The angular velocity of the disc is ω2 = 8 rad^-1.
Explanation:
We are given with angular velocity of 10 rad.
Solution:
r2 = r2/2
Now find out the moment of inertia.
I = Mr1^2/2
I2 = Mr2^2/2 = Mr1^2/8
Since there is no external torque so conservation of angular momentum is valid.
I1ω1 = I2ω2 => Mr1^2/2 x 10
= (MR1^2/8 + Mr1^2/2) x ω2
ω2 = 8 rad^-1
Thus the angular velocity of the disc is ω2 = 8 rad^-1
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