1.) A playground merry-go-round with a radius of 1.75 m and a rotational inertia of 124.5...

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Physics

1.) A playground merry-go-round with a radius of 1.75 m and arotational inertia of 124.5 kgm2 is stationary. A robotwith a mass of 32.5 kg gets on and walks around the edge of themerry-go-round. How many revolutions around the merry-go-round mustthe robot make in order for the merry-go-round to make two fullrevolutions?

2.) A student has an idea for a special record player that usesno electricity. The base is a circular turntable that floats onsmall jets of air after being set in motion such that it spins withno friction. This disk-like turntable has a mass of 3.70 kg and aradius of 37.0 cm. The student gives it a quick push in theclockwise direction such that it is freely spinning at an angularspeed of 23.0 revolutions per second. A smaller circular record hasa radius of 19.0 cm and a mass of   1.90 kg. This recordis not rotating when it is suddenly dropped straight down onto theturntable so that the axis of rotation passes through the center ofthe record (as shown). Assume the rotational inertia for a uniformcircular disk can be found as (1/2) MR2. What is thefinal angular speed of this record and freewheeling turntable?

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