A merry-go-around with moment of inertia of I and radius of R rotates with angular speed of w0.  A metal block with mass M is vertically dropped on it at a distance of R/2 from the center and finally rotates together with  the merry-go-around.  Final the final angular speed of wf. a) Iwo/4I+mR2 b) 4Iwo/4I+mR2 c)2Iwo/2I+mR2 d) Iw0/I+mR2 e)4Iw0/I+mR2

Two circular objects with the same radii and mass but different moments of inertia rol down a ramp. At the bottom of the ramp, the translational speed (a) of both disks will be the same (b) of the disk with the greater moment of inertia will be greater (c) of the disk with the greater moment of inertia will be smaller (d) not enough information to draw a conclusion

A playground merry-go-round has Moment of Inertia of 500 kg-m2 and a radius of 4.5 m. Four children, each with a mass of 40 kg are riding the merry-go-round on its outer edge. The merry-go-round with the children has an angular speed of 0.44 rad/s. If all the children move to the center at the same time, what happens to the angular speed of the merry go round? Explain.

Flying Circus of Physics A yo-yo has a rotational inertia of 1110 g.cm² and a mass of 94.4 g. Its axle radius is 2.47 mm, and its string is 133 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy, (e) rotational kinetic energy, and (f) angular speed? (a) Number i 5.1 (b) Number i 7.2 (c) Number i (d) Number i (e) Number i (f) Number i 000 Units Units Units Units Units Units m/s^2 PHON