A light, rigid rod of length { = 1.00 m joins two particles, with masses m, = 4.00 kg and m, = 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 6.00 m/s. (Enter the magnitude to at least two decimal places in kg • m2/s.) magnitude 21 v kg · m?/s direction +z What If? What would be the new angular momentum of the system (in kg · m/s) if each of the masses were instead a solid sphere 14.5 cm in diameter? (Round your answer to at least two decimal places.)

A light, rigid rod of length { = 1.00 m joins two particles, with masses m, = 4.00 kg and m, = 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 6.00 m/s. (Enter the magnitude to at least two decimal places in kg • m2/s.) magnitude 21 v kg · m?/s direction +z What If? What would be the new angular momentum of the system (in kg · m/s) if each of the masses were instead a solid sphere 14.5 cm in diameter? (Round your answer to at least two decimal places.)

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

Two thin rods of length L are rotating with the same angular speed ω (in rad/s) about axes that pass perpendicularly through one end. Rod A is massless but has a particle of mass 0.78 kg attached to its free end. Rod B has a mass of 0.78 kg, which is distributed uniformly along its length. The length of each rod is 0.71 m, and the angular speed is 4.8 rad/s. Find the kinetic energies of rod A with its attached particle and of rod B.
In the image below, three particles of mass m are fastened to three rods of length d and negligible mass. The rigid assembly rotates around point O at angular speed w. (Use any variable or symbol stated above as necessary.) d (a) About O, what is the rotational inertia of the assembly? I = (b) About O, what is the magnitude of the angular momentum of the middle particle? L = (c) About O, what is the magnitude of the angular momentum of the assembly? L =
A particle is at a position (x, y, z) = (1.0, 2.0, 3.0) m. It is traveling with a velocity vector (-5.0, +2.8, -3.1) m/s. Its mass is 3.8 kg. What is its vector angular momentum about the origin? [x,y,z, are i,j,k]
Engineering Dynamics need help from 4,5,6,7 thank you A ball of mass m is moving along a vertical semi-cylinder of radius R as it is guided by the arm OA. The arm moves in a clockwise direction with a constant angular velocity ω. Assume 0° ≤ Φ ≤ 90°. Neglect any friction. Neglect also the size of the ball and the thickness of the arm. Find the relationship between r, R and θ where r is the distance between O and the ball. Draw a free body diagram of the ball assuming that it is in contact with the cylinder and the arm OA. Write the equations of motion in the (r, θ) coordinate system. Find the normal force acting on the ball by the cylinder for Φ = Φ0. Find the normal force acting on the ball by the bar for Φ = Φ0. Determine the angle Φ at which the ball loses contact with the cylinder. Take m = 1 kg, R = 1.4 m, ω = 0.5 rad/s, and Φ = 60°
A thin, hollow sphere of radius r = 0.520 m and mass m = 17.0 kg turns counterclockwise about a vertical axis through its center (when viewed from above), at an angular speed of 2.90 rad/s. What is its vector angular momentum about this axis? [Enter the direction and the magnitude (in kg · m2/s.)]
A student performed an experiment to prove the angular momentum conservation experiment using a rotating disk experiment. In this experiment a disk of mass =1kg and radius 1m was rotated initially at a speed of 40rot/s. While it was rotating, an identical disk was dropped on the top. By using conservation of angular momentum find the rotation speed of the combined system. Hint: Rotational Inertia of the disk of mass m and radius r is I=(1/2)mr2. Conservation of angular momentum,I1w1=I2w2 where I1 is the initial inertia of the disk and w1=40rot/s,I2=2I1.Solve for w2
A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m, moving with speed V, strikes the rod at angle θ from the normal and sticks to the rod after the collision.What is the angular speed ωf of the system immediately after the collision, in terms of system parameters and I?
A puck of m = 0.049 kg is attached to a taut light cord passing through a small hole in a frictionless, horizontal surface. The puck is initially orbiting with speed v, = 1.60 m/s in a circle of radius R = 0.320 m. The cord is then slowly pulled from below, decreasing the radius of the circle to 0.130 m. How much work is done by the force F? {Consider conservation of angular momentum and conservation of energy universe} O 0.485 J O 0.227 J O 0.143 J O 0.105 J 202171
A horizontal solid circular plate of mass 60 kg rotates about a vertical axis passing through its center at period of T = 6 s. A block of mass 60 kg is placed on the edge of the plate and rotating with the plate. Now, let’s move the block from the edge of the plate to the center of the plate. What is the velocity of rotation now? (Hint: You may consider angular momentum conservation.)
A vertical disk of radius r rolls around a horizontal track of radius R which, itself, rotates at a constant rate Ohm_0 about a vertical axis. The center of the disk moves at a constant angular rate phi_0 about the same vertical axis. Using the given cylindrical unit vector system, obtain the acceleration of point P on the edge of the disk when this point is at its highest position.
A person of mass m = 75 kg stands in the center of a large rotating disk with radius R = 5.0 m and total mass M. The rotates without friction and without any external torque, initially at an angular velocity of w. The moment of inertia of a disk is MR. Assume that the person can be approximated as point-like, i.e. the angular momentum is r x p. The person then walks radially outward. (a) What is the angular momentum of the system (person + disk) as a function of the person's radius, r, from the center? Write it in terms of m, M, R, and w. (b) If the disk is initially rotating at wo and it slows to wp =0.8 rad/s when the person is at the very edge, what is the mass of the disk? 1.1 rad/s when the person is in the exact center, (c) What is the rotational kinetic energy of the system before and after the person walks to the edge?
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.