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A small 10.0-g bug stands at one end of a thin uniform bar that is initially...

A small 10.0-g bug stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate freely, without friction. The bar has mass 50.0 g and is 75 cm in length. The bug jumps off in the horizontal direction, perpendicular to the bar, with a speed of 20.0cm/s relative to the table.

a- What is the angular speed (in rad/s) of the bar just after the frisky insect leaps?

b- What is the total kinetic energy ( in mJ) of the system consisting of bug and bar just after the bug jumps off?

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