(1) A sphere of mass, m, travels rightward when it collides with and sticks to a long beam of mass, 3m, and length, L, and freely rotating pivot point as indicated below. The point of contact is the edge of the beam. 3m Pivot Point In terms of m, vi, and L, express the angular velocity of the combined sphere-beam system after the collision.

(1) A sphere of mass, m, travels rightward when it collides with and sticks to a long beam of mass, 3m, and length, L, and freely rotating pivot point as indicated below. The point of contact is the edge of the beam. 3m Pivot Point In terms of m, vi, and L, express the angular velocity of the combined sphere-beam system after the collision.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.21P

See similar textbooks

Similar questions

Please explain. In the collision of disks, the system is not isolated because of existence of friction.How is it possible that conservation of angular momentum is still valid to a relativelygood accuracy?
Two uniform thin identical rods each of mass 15 g and length 30 cm arejoined so as to form a cross as shown in figure. The system rotates aboutperpendicular axis throw from its center of mass with angular velocity 20rad/s and it is moving on circular path of radius 2 m. Calculate the totalangular momentum when its tangential velocity 10 m/s.
(Please explain)In a collision of disks, where the system is not isolated because of the existence of friction. How is it possible that conservation of angular momentum is still valid to a relatively good accuracy?
A space of mass 120 kg is going to use a planet for a gravitational assist- that is, use the planet's gravity to change its direction of travel without expending any fuel. It is initially moving at a velocity of 280 m/s and at an angle of theta initial = 53 degrees, at a distance of 11500 km from the center of the planet. Given an expression for the angular momentum of the spacecraft using the coordinate system specified in terms of m, r0, v0, theta initial, and vector units i, j, k If the spaceship whips around the planet to the other side so that the angle is theta 35 and is moving at 95 m/s, how far, in kilometers, from the planet is it?
Does an object moving in a straight line have nonzero angular momentum always, sometimes, or never?
At the moment of impact, the line of the centers of the sphere is perpendicular to a vertical wall which is at a distance x from the point of collision and nearer(closer) to B than to A, and B subsequently collides with the wall. Find in terms of x, the distance of A from the wall at the instant when B hits the wall.
Prove that the time rate of change of angular momentum is equal to the torque acting on the system without using the differentiation concept.
An asteroid of mass 1.5×105 kg , traveling at a speed of 40 km/s relative to the Earth, hits the Earth at the equator tangentially, and in the direction of Earth's rotation, and is embedded there. Use angular momentum to estimate the percent change in the angular speed of the Earth as a result of the collision.
A spaceship of mass 142kg is going to use a planet for a gravitational assist - that is, use the planet's gravity to change its direction of travel without expending any fuel. It is initially moving at a velocity of 205m/s and at an angle of∘ϕ0=61.8∘ at a distance 11500km from the center of the planet, as shown in the figure. Given an expression for the angular momentum of the spacecraft, using the coordinate system specified, in terms of m, r0, v0, ϕ0, and unit vectors i^, j^, and k^. If the spaceship whips around the planet to the other side so that the angle is ϕ = 33.9 degrees is moving at 83 m/s, how far, in kilometers, from the planet is it?
The thin, homogeneous, circular disk B rotates about a fixed, frictionless axis O, located at its centre, with an angular velocity of ω = 2.5 rad/s (clockwise). Object Alands on the disk at the indicated position where θ = 53o, with an absolute velocity of 1.8 m/s at an angle of ψ = 25o as shown. Determine the angular speed of disk Bimmediately after object A has landed and rotates with B. Take the mass of the object as mA = 5 kg and the radius of gyration about an axis passing perpendicularly through its centre of gravity as kG = 0.18 m. The mass of disk B is mB = 14 kg and its radius is R = 1.7 m. Initially object A is a distance of r = 1.1 m from the axis of rotation. Choose the correct answer: a) 2.500 rad/s b) 1.737 rad/s c) 2.088 rad/s d) 2.252 rad/s e) 1.642 rad/s
A sphere of radius 0.2 m and a weight of 100 N is released with no initial velocity on the incline making an angle of 30° with the horizontal ang rolls without skidding. Which of the following most nearly gives the velocity of the center of the sphere after the sphere has rolled 4 m?
calculate the angular momentum in kgm^2/s of an ince skater spinning at 6.00 rev/s given the moment of intertia is 0.49 kgm^2 ?