A merry-go-round is composed of an inner disk of mass M1 radius R1 = 2 m and an outer disk of mass M2 = 2000 kg and radius R2 = 5 m. Three passengers, each of mass m = 70 kg (represented by solid black dots) sit along the outer edge of the merry-go-round as shown in the figure below. = 1000 kg and R2 Figure 2: Setup for question 2 (a) What is the position vector of the center of mass of the merry-go-round and its passengers? (b) The motor of the merry-go-round begins to apply a torque of magnitude T = 3200 Nm. How long does the merry-go-round take to reach an angular velocity of w 0.4 rad/s? (c) What is the rotational kinetic energy of the merry-go-round and its passengers at an angular velocity of w = 0.4 rad/s? (d) As the merry-go-round rotates at w = 0.4 rad/s the engine suddenly cuts out. If friction supplies a torque of magnitude Tf many revolutions does the merry-go-round complete before coming to rest? = 250 Nm, how

A merry-go-round is composed of an inner disk of mass M1 radius R1 = 2 m and an outer disk of mass M2 = 2000 kg and radius R2 = 5 m. Three passengers, each of mass m = 70 kg (represented by solid black dots) sit along the outer edge of the merry-go-round as shown in the figure below. = 1000 kg and R2 Figure 2: Setup for question 2 (a) What is the position vector of the center of mass of the merry-go-round and its passengers? (b) The motor of the merry-go-round begins to apply a torque of magnitude T = 3200 Nm. How long does the merry-go-round take to reach an angular velocity of w 0.4 rad/s? (c) What is the rotational kinetic energy of the merry-go-round and its passengers at an angular velocity of w = 0.4 rad/s? (d) As the merry-go-round rotates at w = 0.4 rad/s the engine suddenly cuts out. If friction supplies a torque of magnitude Tf many revolutions does the merry-go-round complete before coming to rest? = 250 Nm, how

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 27PQ: Saturns ring system forms a relatively thin, circular disk in the equatorial plane of the planet....

See similar textbooks

Similar questions

The moon has a mass of 7.35x10²² kg, a radius of 1,738 km, and an angular velocity of 1 revolution every 27.3 days. Determine the moon's angular momentum. A. 5.91 x 10²⁹ kgm²/s B. 2.36 x 10²⁹ kgm²/s C. 3.34 x 10⁴⁰ kgm²/s D. 8.35 x 10⁴⁰ kgm²/s
What is the magnitude of the angular momentum of the 2.40 kgkg , 4.20-cm-diameter rotating disk in the figure (Figure 1)?
The centrifuge at NASA Ames Research Center has a radius of 8.8 m and can produce forces on its payload of 20 gs or 20 times the force of gravity on Earth. (a) What is the angular momentum of a 20-kg payload that experiences 10 gs in the centrifuge? (b) If the driver motor was turned off in (a) and the payload lost 10 kg, what would be its new spin rate, taking into account there are no frictional forces present?
Now we have a rod-shaped space station of length 1402 m and mass 8.50 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 1.51 rpm. If the length of the rod is reduced to 1.51 m, what will be the new rotation rate of the space station?A) 5.08 rpmB) 2.54 rpmC) 8.13 rpmD) 1.52 rpm
A ring (mass 2 M, radius 2 R) rotates in a CCW direction with an initial angular speed 1 ω. A disk (mass 4 M, radius 1 R) rotates in a CW direction with initial angular speed 4 ω. The ring and disk "collide" and eventually rotate together. Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction. What is the initial angular momentum Li of the ring+disk system? Write your answer in terms of MR2ω. What is the final angular velocity ωf of the ring+disk system? Write your answer in terms of ω.
Suppose a piece of dust is stuck to a CD such that it does not slip even when the CD is spinning. part a) If the constant spin rate of the CD is 520 rpm, then what angular distance, in radians, is traveled by the piece of dust in 2.7 minutes? part b) If the dust is 4.9 cm away from the center, the what is the total distance, in meters, by which it traveled during the time interval of part a?
A ring (mass 4 M, radius 1 R) rotates in a CCW direction with an initial angular speed 2 ω. A disk (mass 2 M, radius 2 R) rotates in a CW direction with initial angular speed 4 ω. The ring and disk "collide" and eventually rotate together. Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction.What is the initial angular momentum Li of the ring+disk system? Write answer in terms of MR2ω. What is the final angular velocity ωf of the ring+disk system? Write your answer in terms of ω.
A 1140 kg1140 kg car has just passed a diner. The closest the car came to the diner was ?=24.5 mR=24.5 m, but the car has driven another ?=30.7 mx=30.7 m in the 2.65 s2.65 s elapsed since then. If the car travels at constant speed, what is the current magnitude ?L of the angular momentum of the car about the diner?
What is the angular momentum vector of the 2.0 kg, 4.0- cm-diameter rotating disk in (Figure 1)? Give your answer using unit vectors. Lx, Ly, Lz
A figure skater has a mass of 65 kg and an angular momentum of 200 kg*m2/s during a camel spin. During this spin, the average radius of gyration changes from 0.33 meters to 0.65 meters in 0.62 seconds. What is the figure skater’s average angular acceleration in degrees/s2 during this 0.62 seconds?
a) Calculate the angular momentum (in kg · m2/s) of Mercury in its orbit around the Sun. (The mass of Mercury is 3.300 ✕ 1023 kg, the orbital radius is 5.790 ✕ 107 km and the orbital period is 0.241 y.) kg · m2/s (b) Compare this angular momentum with the angular momentum of Mercury on its axis. (The radius of Mercury is 2.440 ✕ 103 km and the rotation period is 1408 h.) Lorbital Lrotation =
A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each have the same mass of 2.58 kg and the same radius of 0.184 m. Each is also rotating about its central axis with an angular speed of 42.0 rad/s. What is the magnitude of the angular momentum of each object? (Enter your answers in kg · m2/s.) (a) hoop kg · m2/s (b) solid cylinder kg · m2/s (c) solid sphere kg · m2/s (d) thin, spherical shell kg · m2/s