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5 A uniform sphere of mass m and another uniform hemisphere of the same material...

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5 A uniform sphere of mass m and another uniform hemisphere of the same material and radius r are placed in a vessel In the vessel water is filled up to height r 30 0 cm as shown There is no water or air under the hemisphere The sphere and the hemisphere both are connected with vertical threads to the ends of a light rod AB of length 116 cm having a hinge O Find the distance of the hinge from the end A so that when an upward minimum pull is applied at the hinge the sphere and the hemisphere both will simultaneously leave the bottom of the vessel Density of the material of the sphere is p 5 0 g cm and that of water is po 1 0 g cm D B

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