1.) Three masses are connected by light rigid rods as shown in the figure. The system rotates about the x-axis with angular speed w = 2 rad/s.a) Find the moment of inertia I of the system about the x-axis.b) Find the kinetic energy of the system using KE = 1/2Iw2.c) Find the linear speed (or tangential speed, if you prefer) of each particle.d) Find the KE from Si1/2mivi2.e) Compare the answers to b) and d).2.) A 12″ LP of mass 30g is dropped down the spindle onto a freely turning 12″ turntable platter of mass 1 kg initially turning at 331/3 rpm. What is the final speed of the turntable in rpm?HINT: Assume that both the LP and the platter are discs.3.) A man stands on a freely rotating platform, as shown, holding an exercise dumbbell in each hand. With outstretched arms, his angular speed is 1.5 rad/s. After he has pulled his arms in, as shown, his angular speed is 5 rad/s. What is the ratio of his final rotational KE to his initial rotational KE? Explain any differences.
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