A playgorund carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders)has a moment of inertia of 155 kg-m2. A 30 kg girl is standing at 0.25 m from the center, and the carousel has an angular velocity of 0.632 rad/s.The girl moves outward to a point located 1.512 m from the center.a. Find the initial combined angular momentum of the carousel and girl.b. Find the angular velocity of the carousel when the girl has reached the larger radius.c. Find the change in rotational kinetic energy of the carousel with the girl.d. Explain the source of the work to cause the change in kinetic energy.

Answered: Image /qna-images/answer/8b25c3f8-6047-4c43-b269-f518341ca91e.jpg

Answered: A playgorund carousel is free to rotate…

Similar questions

Two flywheels, 1 and 2, are frictionlessly and independently mounted on the same axie. They have moments of inertia I1= 3 kg. m2 , I2= 5 kg. m2 , and are spinning in opposite directions, both at 120 rpm. Next, a clutch presses the flywheels into frictional contact with each other. After some time they rotate as a unit. What is the final rotational frequency of the combination ?
A 80 g, 31-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 14 g ball of clay traveling horizontally at 2.2 m/s hits and sticks to the very bottom tip of the rod.To what maximum angle, measured from vertical, does the rod (with the attached ball of clay) rotate?
Two bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 0.80 m and the disk is rotating with an angular speed of 38 rpm. The coefficient of friction between the bugs and the disk are μs = 0.80 and μk= 0.60. What is Crunchy's speed, in m/s?
A 40 kg child is sitting along the rim of a merry go round that is rotating at 0.35 revolutions persecond about its symmetry axis. The mass and the radius of the merry go round are 85 kg and8 m, respectively. Assume that you can treat the child as a point particle, and you can model themerry go round as a disc.a. Calculate the moment of inertia of the system about its axis of symmetry.b. Calculate the total angular momentum of the system.
I need help with parts d, e, and f.
c to g please
Three 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 kgm1 = 20.4 kgm2 = 26 kgm3 = 35 kgr = 1.1 mf = 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?
Two 2.50 [kg] balls are attached to the ends of a thin, massless rod of length 72.0 [cm]. The rod can freely rotate along the vertical without friction, about an axis through its center as shown. With the rod initially at rest and oriented horizontally, a 1.00 [kg] ball of clay drops directly onto one of the balls, hitting it with speed 1.00 [m/s] then sticking to it. A. What is the angular speed of the system just after the clay ball hits? B. What is the ratio of the kinetic energy of the system after the collision, to that of the clay ball just before? C. What is the angular velocity of the system as the clay ball passes through its lowest point?
The four masses shown are connected by massless, rigid rods. The masses are mA = 0.13 kg, mB = 0.228 kg, mC = 0.31 kg, mD = 0.415 kg, a. What are the coordinates of the center of mass? xcm = cm, ycm = cm b. Find the moment of inertia about an axis that passes through mass A and is perpendicular to the plane of the image. IA = kg.m2 c. Find the moment of inertia about an axis that passes through mass D and is perpendicular to the plane of the image. ID = kg.m2
In a physics lab, Asha is given a 10.1 kg uniform rectangular plate with edge lengths 63.7 cm by 54.7 cm. Her lab instructor requires her to rotate the plate about an axis perpendicular to its plane and passing through one of its corners, and then prepare a report on the project. For her report, Asha needs the plate's moment of inertia ?I with respect to given rotation axis. Calculate ?I .
4. A0.5 kg ball flies toward a stationary rod (m = 5 kg, L = 0.05 m) free to rotate about one end, as shown below. The ball sticks to the rod and the rod/ball system rotates at 5 rad/s. Treat the ball as a point particle. a What is the total angular momentum of the rod/ball system? b What is the initial velocity of the ball?
M

SEE MORE QUESTIONS