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For a particle rotating in a vertical circle with uniform speed, the maximum and minimum magnitudes of external force (other than gravity) acting on the particle are in the ratio 5:3. If the radius of vertical circle is 2m, the speed of revolving body (in m/s) is_____ (take g=10 m/s2)

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answer is 0008.94.

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Detailed Solution

Maximum tension at bottom most point is given by T1=mg+mv22....1 ∵R=2 m Minimum tension at top most point is given by T2=mv22−mg.....2T1T2=53⇒2mg+mv2mv2−2mg=53⇒6g+3v2=5v2−10g⇒16g=2v2∴v2=80∴v=80=8.94

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For a particle rotating in a vertical circle with uniform speed, the maximum and minimum magnitudes of external force (other than gravity) acting on the particle are in the ratio 5:3. If the radius of vertical circle is 2m, the speed of revolving body (in m/s) is_____ (take g=10 m/s2)