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Q.

The M.I of a body is1.2 kgm2. Initially the body is at rest. In order to produce a ratational Kinetic Energy of 1500 J an angular acceleration of must25 rad/s2 be applied about the axis for a duration of

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a

2 s

b

10 s

c

8 s

d

4 s

answer is A.

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Detailed Solution

ω1=0;ω2=?;  I=1.2 kgm2

ΔKE=1500 J

KE=12Iω22

1500=121.2ω22ω22=3000012

ω2=50 rad/s2

given α=25 rad/s2

α=ω2ω1t25=500t;  t=2s

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The M.I of a body is1.2 kgm2. Initially the body is at rest. In order to produce a ratational Kinetic Energy of 1500 J an angular acceleration of must25 rad/s2 be applied about the axis for a duration of