Can the diver of Fig. 8-28 do a somersault without having any initial rotation when she leaves the board? Explain.
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The diver can indeed accomplish a somersault without having any initial rotation while leaving the board. Due to the law of conservation of angular momentum, moment of Inertia is greater as the body is stretched with a reduced angular velocity. When arms & legs are tucked during the somersault, the moment of Inertia is less while the angular velocity increases by pushing the board. As she leaves the board, this gives her the initial angular momentum about her centre of mass.