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Question-214815




Question Number 214815 by mr W last updated on 20/Dec/24
Commented by mr W last updated on 20/Dec/24
a solid ball with mass m and radius r  is released from the top of a  quarter−cylindrical wedge with  mass M and radius R as shown.  there is enough friction between  ball and wedge, but there is no  friction between wedge and ground.  find the final speed of the wedge.
$${a}\:{solid}\:{ball}\:{with}\:{mass}\:\boldsymbol{{m}}\:{and}\:{radius}\:\boldsymbol{{r}} \\ $$$${is}\:{released}\:{from}\:{the}\:{top}\:{of}\:{a} \\ $$$${quarter}−{cylindrical}\:{wedge}\:{with} \\ $$$${mass}\:\boldsymbol{{M}}\:{and}\:{radius}\:\boldsymbol{{R}}\:{as}\:{shown}. \\ $$$${there}\:{is}\:{enough}\:{friction}\:{between} \\ $$$${ball}\:{and}\:{wedge},\:{but}\:{there}\:{is}\:{no} \\ $$$${friction}\:{between}\:{wedge}\:{and}\:{ground}. \\ $$$${find}\:{the}\:{final}\:{speed}\:{of}\:{the}\:{wedge}. \\ $$

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