hree children are riding on the edge of a merry-go-round that is a disk of mass 96 kg, radius 1.1 m, and is spinning at 22 rpm. The children have masses of 20.4 kg, 26 kg, and 35 kg. M = 96 kg m1 = 20.4 kg m2 = 26 kg m3 = 35 kg r = 1.1 m f = 22 rpm A.  What is the moment of inertia of the merry-go-round plus the children in kg⋅m2?  B.  If the child who has a mass of 26 moves to the center of the merry-go-round, what is the new moment of inertia in kg⋅m2?  C. If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?

A merry-go-round at an amusement park consists of an outer ring of horses and an inner ring of elephants.The ring of eight horses has a radius of rh = 8.9 m. Each of the eight horses has a mass mh = 110 kg. The ring of four elephants has a radius of re = 6.5 m and each of the four elephants has a mass me = 195 kg. The platform of the merry-go-round itself has a mass of mp = 1500 kg and a radius of rp = 10.5 m.At it’s operating speed, the merry-go-round makes one revolution every t = 11 s.Enter an expression for the total moment of inertia of the carousel about its axis, in terms of the defined quantities. Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. Enter an expression for the angular speed of the carousel, in terms of the defined quantities. Calculate the carousel’s angular speed, in radians per second.

A 150 g ball and a 200 g ball are connected by a 33-cm-long, massless, rigid rod. The balls rotate about their center of mass at 150 rpm . What is the speed of the 150 g ball?

A 200 g spring loaded projectile launcher is used to launch a 10 g projectile. If the spring (spring constant 22 N/m) is compressed by 6.5 cm when the trigger is released, with what speed (in m/s) will the projectile launch immediately after the spring is released completely?   An 10 cm diameter fan starting from rest, accelerates uniformly, completing 30 revolutions in  14.2 seconds. What is the angular  acceleration of the fan in rad/s2.

a. Calculate the angular momentum (in kg·m2/s) of an ice skater spinning at 6.00 rev/s given his moment of inertia is 0.370 kg·m2.   b. He reduces his rate of spin (his angular velocity) by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia (in kg·m2) if his angular velocity drops to 2.05 rev/s.   c. Suppose instead he keeps his arms in and allows friction with the ice to slow him to 3.00 rev/s. What average torque (in N·m) was exerted if this takes 10.0 seconds?

Consider the objects labeled A, B, C, and D shown in the figure. B *1. IA = Each object is composed of identical thin sticks of uniformly distributed mass 2.39 kg and length 0.675 m. What are the moments of inertia IA, IB, IC, and Ip of the objects about a rotation axis perpendicular to the screen and passing through the black dot displayed on each object? Ic= kg.m² с kg.m² IB = D ID = kg-m² kg.m²

What is the angular momentum L of a thin disk about its central axis if the disk is 19.0 cm in diameter, has a mass of 2.50 kg, and rotates at a constant 1.25 rad/s? kg-m² L =

A puck of mass m = 1.30 kg slides in a circle of radius r = 22.0 cm on a frictionless table while attached to a hanging cylinder of mass M= 2.30 kg by a cord through a hole in the table. What speed keeps the cylinder at rest? M Number i 2.227 Units m/s

Three children are riding on the edge of a merry-go-round that is 102 kg, has a 1.60 m radius, and is spinning at 17.3 rpm. The children have masses of 22.4, 30.5, and 40.8 kg. If the child who has a mass of 40.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? rpm

A disc (thin cylinder) of mass 0.05 kg and radius 0.65 m is rotating on a frictionless axle at a constant rate of 77 RPM. What a the angular velocity and angular momentum of the disc? の = rad/s L = kg-m2 A second disc of 0.02 kg and 0.23 m is dropped down the axle on top. The two then rotate together. What is the final angular velocity and RPM of the system of discs? rad/s RPM = RPM