SHOW WORK, answer below 9. A uniform thin rod of length 0.87 m and mass4.9 kg can rotate in a horizontal plane about avertical axis through its center The rod is at rest15when a 4.8 g bullet traveling in the rotation planeis fired into one end of the rod. As viewed fromabove, the bullet's path makes angle 0 = 60° withthe rod. If the bullet lodges in the rod and theangular velocity of the rod isimmediately after the collision, what is the bullet'sspeed just before impact? [Answer: 1.37 km/s]%3D8.00 rad/sАxis

Answered: Image /qna-images/answer/0346d0e8-f426-4c10-9865-986bbca59bf3.jpg

9. A uniform thin rod of length 0.87 m and mass 4.9 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 4.8 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from

9. A uniform thin rod of length 0.87 m and mass 4.9 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 4.8 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from

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 60P: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed...

See similar textbooks

Similar questions

A thin meter stick of mass 150 g rotates around an axis perpendicular to the stick’s long axis at an angular velocity of 240 rev/min. What is the angular momentum of the stick if the rotation axis (a) passes through the center of the stick? (b) Passes through one end of the stick?
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 thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.
A propeller consists of two blades each 3.0 m in length and mass 120 kg each. The propeller can be approximated by a single rod rotating about its center of mass. The propeller starts from rest and rotates up to 1200 rpm in 30 seconds at a constant rate. (a) What is the angular momentum of the propeller at t=10s ; t=20s ? (b) What is the torque on the propeller?
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?
A buzzard (m = 9.29 kg) is flying in circular motion with aspeed of 8.44 m/s while viewing its meal below. If the radius ofthe buzzards circular motion is 8.00 m, what is the angularmomentum of the buzzardaround the center of its motion?
A wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R (Fig. P11.29). The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d R from the center. (a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (b) Is the mechanical energy of the claycylinder system constant in this process? Explain your answer. (c) Is the momentum of the claycylinder system constant in this process? Explain your answer. Figure P11.29
The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min. (a) If the blades are 6000 kg each and the rotor assembly has three blades, calculate the angular momentum of the turbine at this rotation rate. (b) What Is the torque require to rotate the blades up to the maximum rotation rate in 5 minutes?
A 4.0-m-diameter playground merry-go-round, with a moment of inertia of 400 kg ⋅ m2, is freely rotating with an angular velocity of 2.0 rad/s. Ryan, whose mass is 80 kg, runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. Still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt. How fast was Ryan running when he jumped on?A. 2.0 m/sB. 4.0 m/sC. 5.0 m/sD. 7.5 m/sE. 10 m/s
Sanjay and Ting, each with a mass of 25 kgkg, are riding opposite each other on the edge of a 150 kgkg, 3.0-mm-diameter playground merry-go-round that's rotating at 21 rpmrpm. Each walks straight inward and stops 35 cmcm from the center. Part A What is the new angular velocity, in rpmrpm?
Kim is spinning on the ice at 1146°/s about her longitudinal axis when she abducts her arms increasing her radius of gyration from 30 cm to 60 cm. If her angular momentum is conserved, what is her angular velocity about her longitudinal axis after she increases her radius of gyration?
A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m. After he tucks the body, what is his angular velocity about the transverse axis?