Evaluate each statement*T/F/N): I delta omega is a vector quantity? The angular

Question

Evaluate each statement*T/F/N): I delta omega is a vector quantity? The angular momentum of a collection of objects is always conserved. An object's angular momentum may be changing even as its angular velocity' remains constant. An isolated rotating object (constant m) can change its own angular velocity if it's not rigid. If one object's angular momentum is changing, there must be another object whose angular momentum is changing. A rotating skater draw's her arms in, changing her moment of inertia by -8.50% (i.e. reducing it by 830%). By what percentage does she change her rotational kinetic energy. KR ? Where does this extra energy come from? An ice skater is spinning in place on frictionless ice. Initially her angular velocity is 10.0 rad/s. but then she extends her arms, increasing her moment of inertia by 12.5%. WTiat is her resulting angular velocity? A playground carousel ("merry-go-round") is free to rotate frictionlessly in the horizontal plane (and air resistance is negligible). Without riders, the carousel has a moment of inertia of 152 kgm2. But there is a single rider, initially standing 1.85 m from the axis of rotation, as the carousel turns at an angular speed of 0.640 rad/s. Then the person moves to another location. 0.75 m from the axis, and the angular speed is then 0.973 rad/s. Find the person's mass. A merry-go-round (carousel) with a moment of inertia of 594 kg m2. is initially rotating horizontally at 2 rad/s about a frictionless axis through its center. Then a metal plate located at that center loosens and gradually slides outward along the floor of the merry-go-round. When the plate is 1.4 m from the center, the merry-go-round has lost 1% of its original rotational speed. Assuming that all mechanical energy losses are due to kinetic friction between the plate and floor, find that coefficient of kinetic friction. (Ignore the slow- speed of the plate's sliding .)

Explanation / Answer

a) i) true ii) true iii) true iv) false v) false

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