CA-13 A merry-go-round is a solid disk of mass 100kg and radius 1.50m. It is at rest, but is free to rotate around a frictionless vertical axle. Sean, whose mass is 30.0kg is running toward the stationary merry-go- round with a speed of 5.00m/s. He is headed straight toward point P on the edge of the merry-go-round as shown below in the view from above that is labeled "Before". Before (as seen from above) After (rotation) point P. 5.00m/s Sean 25.0 Sean is headed for point P on the edge of the merry-go-round. When he hits the merry-go-round he holds on to ("sticks to") the merry-go-round at that point. You can treat Sean as a point mass for this problem. Neglect air resistance for this problem. a) Find the angular momentum of the Sean-merry-go-round system with respect to the center of the merry-go-round before Sean collides with the merry-go-round. b) What is the angular momentum of the Sean-merry-go-round system after the collision? Explain how you get your answer. c) Find the rate of rotation in rev/min of the Sean-merry-go-round system after the collision.

CA-13 A merry-go-round is a solid disk of mass 100kg and radius 1.50m. It is at rest, but is free to rotate around a frictionless vertical axle. Sean, whose mass is 30.0kg is running toward the stationary merry-go- round with a speed of 5.00m/s. He is headed straight toward point P on the edge of the merry-go-round as shown below in the view from above that is labeled "Before". Before (as seen from above) After (rotation) point P. 5.00m/s Sean 25.0 Sean is headed for point P on the edge of the merry-go-round. When he hits the merry-go-round he holds on to ("sticks to") the merry-go-round at that point. You can treat Sean as a point mass for this problem. Neglect air resistance for this problem. a) Find the angular momentum of the Sean-merry-go-round system with respect to the center of the merry-go-round before Sean collides with the merry-go-round. b) What is the angular momentum of the Sean-merry-go-round system after the collision? Explain how you get your answer. c) Find the rate of rotation in rev/min of the Sean-merry-go-round system after the collision.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The figure shows a small piece of clay colliding into a disk. The disk is initially at rest, but can rotate about a pivot fixed at its center. The collision is completely inelastic.1) The disk has mass M = 4.73 kilograms and radius R = 0.755 meters. The clay has mass m = 279 grams and is moving horizontally at vi = 3.66 m/s just before colliding with and sticking to the disk. The clay strikes the edge of the disk at a location of b = 0.505 meters offset from the center of the disk. Note that the size of the clay is negligible compared to the radius of the disk. 2) Calculate the angular velocity (rad/s) of the disk just after the collision.
A kid runs towards the edge of a merry-go-round that is not rotating and jumps on. The merry-go-round then rotates with a constant angular velocity ω. Assume that the kid has a mass of 40 kg and is initially running at a speed of 4 m/s tangent to the edge of the merry-go-round. The merry-go-round is a uniform disk with a mass of 80 kg and a radius of 2 m. Assume that it rotates without friction. What is the final angular velocity ωf (in radians/s) of the merry-go-round (with the kid riding)?
The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 1.85 cm and is rolled by the beetle at 6.20 cm/s.
A thin 155 g disk with a diameter of 8.50 cm rotates about an axis through its center with 0.260 J of kinetic energy. What is the speed (in m/s) of a point on the rim?
A light rigid bar of length, l = 1m, is attached to two particles, with masses m1 = 4 kg and m2 = 3 kg, at their ends. The combination rotates in the xy plane about an axis through the center of the bar, right figure. Determine the angular momentum of the system about the origin when the speed of each particle is 5 m / s.
A string is wrapped around a uniform cylinder of mass M and radius R. A ball of mass m is attached to the string. The ball is released from rest and drops a distance h to the floor, causing the cylinder to spin. With what speed will the ball strike the floor? T T T T Paragraph Arial 3 (12pt) E - T T* T. O f Mashups - E E E E HU I HTML CSS
Assume Earth is approximately a uniform, solid sphere that has a mass of 5.98×10^24 kg and a radius of 6.38×10^6 m. Calculate the angular momentum ?? of Earth as it spins on its central axis once each day. ??= kg·m2/s
62
Problem 3: Rotation axis- Particle A thin rod of length L and mass M rotates at angular speed w anti-clockwise. A downwards particle of mass * and speed vo hits the rod at distance d from the rod's axis and perpendicular to the rod. The particle then sticks onto the rod at its impact point. (a) At what value of d are the rod and particle stationary after the hit? (b) If d is greater than the value found in (a), in which direction do the rod and particle rotate?
A disk brake on a car consists of a disk with a 0.121 m radius and a caliper that pushes a frictional surface against the edge of the disk (an idealization of a real brake). The moment of inertia of the disk system is 0.354 kg m2. a)At a certain speed of the car, the angular velocity of the disk is 156 rad/s. If the car manufacture wants the car to go from this speed to a full stop in 17 s, what is the magnitude of the angular acceleration of the disk? b) What is the torque that must be applied to the disk to bring it to rest in this time? c) What is the magnitude of the force that pushes the frictional surface against the disk to slow it to a stop if the coefficient of kinetic friction is 0.424?
A disk slides toward a motionless stick on a frictionless surface (figure below). The disk strikes and adheres to the stick and they rotate together, pivoting around the nail. Angular momentum is conserved for this inelastic collision because the surface is frictionless and the unbalanced external force at the nail exerts no torque. Before M Nail (pivot) (b) What is the kinetic energy (in J) before and after the collision? J K before K J after (b) Consider a situation where the disk has a mass of 52.5 g and an initial velocity of 32.5 m/s when it strikes the stick that is 1.30 m long and 2.20 kg at a distance of 0.100 m from the nail. (a) What is the angular velocity (in rad/s) of the two after the collision? (Enter the magnitude.) X rad/s = After (0) (c) What is the total linear momentum (in kg · m/s) before and after the collision? (Enter the magnitude.) kg. m/s Pbefore kg. m/s Pafter
ASAP for like