2.4 The diagram shows a particle moving in a circular path under the influence of acentral force.90 v.Show that the magnitude of the angular momentum of the particle is given by:2| PageL-mr.

Answered: Image /qna-images/answer/febadaf2-b3a3-4df4-bab2-a291eb1de2c8.jpg

Answered: 2.4 The diagram shows a particle moving…

2.4 The diagram shows a particle moving in a circular path under the influence of a central force. 90 Show that the magnitude of the angular momentum of the particle is given by.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 34P: A 0.2-kg particle is travelling along the line y=2.0m with a velocity 5.0 m/s. What is the angular...

See similar textbooks

Similar questions

A proton is accelerated in a cyclotron to 5.0106m/s in 0.01 s. The proton follows a circular path. If the radius of the cyclotron is 0.5 km, (a) What is the angular momentum of the proton about the center at its maximum speed? (b) What is the torque on the proton about the center as it accelerates to maximum speed?
Suppose the particles in the preceding problem have masses m1=0.10kg , m2=0.20kg , m3=0.30kg , m4=0.40kg . The velocities of the particles are . (a) Calculate the angular momentum of each particle about the origin. (b) What is the total angular momentum of the tour-particle system about the origin?
A particle travels at a uniform linear speed around a circle of radius r = 0.5 m, completing one revolution in 12 s. a. What is the value of the linear speed v? b. Find the particles angular speed. c. What are the angle and arc length s swept out by the particle in 4 s?
A compact disc rotates at 500 rev/min. If the diameter of the disc is 120 mm, (a) what is the tangential speed of a point at the edge of the disc? (b) At a point halfway to the center of the disc?
If you know the velocity of a particle, can you say anything about the particle’s angular momentum?
The axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit. As shown below, this axis precesses, making one complete rotation in 25,780 y. (a) Calculate the change in angular momentum in half this time. (b) What is the average torque producing this change in angular momentum? (c) If this torque were created by a pair of forces acting at the most effective point on the equator, what would the magnitude of each force be?
Math Review (a) Convert 47.0 to radians, using the appropriate conversion ratio. (b) Convert 2.35 rad to degrees. (c) If a circle has radius 1.70 m, what is the are length subtended by a 47.0 angle? (See Sections 1.5 and 7.1.)
The centrifuge at NASA Ames Research Center has a radius of 8.8 m and can produce farces 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?
What is (a) the angular speed and (b) the linear speed of a point on Earth’s surface at latitude 30N . Take the radius of the Earth to be 6309 km. (c) At what latitude would your linear speed be 10 m/s?
A 0.2-kg particle is travelling along the line y=2.0m with a velocity 5.0 m/s. What is the angular momentum of the particle about the origin?
A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod’s center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod’s angular velocity when the beads reach the ends of the rod? (b) What is the rod’s angular velocity if the beads fly off the rod?
A particle has mass 0.5 kg and is traveling along the line x=5.0m at 2.0 m/s In the positive y-direction. What is the particle’s angular momentum about the origin?