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QNEET-2013-Ph-1580: NEET 2013 Physics - Class 11 NEET-2013-Ph-1580 Solution: Two discs are rotating about their axes normal to the discs and …
Two discs are rotating about their axes normal to the discs and passing through the centres of the discs. Disc has 2 kg mass and 0.2 m radius and initial angular velocity of . Disc has 4 kg mass 0.1 m radius and initial angular velocity of . The two discs are brought in contact face to face with their axes of rotation coincident. The final angular velocity (in ) of the system is 120 40 60 100
Multiple Choice Options
- A 120
- B 40
- C 60
- D 100
Step-by-Step Verified Solution
Given:m 1 = 2 kg m 2 = 4 kg
r 1 = 0.2 m r 2 = 0.1 m
w 1 = 50 rad s �1 w 2 = 200 rad s �1
As, angular momentum, I 1 W 1 = I 2 W 2 = Constant
W f = I 1 W 1 + I 2 W 2 I 1 + I 2 = 1 2 m 1 r 1 2 w 1 + 1 2 m 2 r 2 2 w 2 1 2 m 1 r 1 2 + 1 2 m 2 r 2 2
By putting the value of m 1 , m 2 , r 1 , r 2 and solving
we get = 100 rad s �1