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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: A solid uniform sphere of mass 'm' and radius 'a' is free to rotate about a diameter and
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shub (38)

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A solid uniform sphere of mass 'm' and radius 'a' is free to rotate about a diameter and it is so fixed to a point o at a distance R  from its center C on a horizontal surface that the sphere rolls without slipping along the circumference of a circle of radius R on the surface angular velocity of C is omega .what is the kinetic energy

plzz post complete solns....

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shub (38)

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why no replies guys???

we are the allies of konoha.....shinobis of the....sand

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sagarvaze (253)

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is it (7/10)m(wR)^2






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sagarvaze (253)

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linear velocity of contact point of sphere is wR


since doesnt slip angular velocity of sphere abt its centre = wR/a


so translational energy = 1/2 * m * (wR)^2


rotational energy = 1/2 * 2/5ma^2 * (wR/a)^2


7/10 m*R^2






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shub (38)

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the answer given is
ma^2w^2(7R^2+2a^2) by 10R^2.....

we are the allies of konoha.....shinobis of the....sand

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