A student has a sphere and would like to know if it is a solid sphere, a spherical shell, or a hollow sphere (a sphere with a spherical hole in the middle). To experiment she rolls it down a ramp during which the center of mass of the sphere changes in elevation by 10 cm. It rolls without slipping. She measures the final speed at the bottom to be 1.08 m/s. What kind of sphere is it? spherical shell solid sphere

A student has a sphere and would like to know if it is a solid sphere, a spherical shell, or a hollow sphere (a sphere with a spherical hole in the middle). To experiment she rolls it down a ramp during which the center of mass of the sphere changes in elevation by 10 cm. It rolls without slipping. She measures the final speed at the bottom to be 1.08 m/s. What kind of sphere is it? spherical shell solid sphere

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 47P: A propeller consists of two blades each 3.0 m in length and mass 120 kg each. The propeller can be...

See similar textbooks

Similar questions

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?
A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m) rotating in a horizontal plane around the vertical axis through its center. The disk is rotating at 10.0 rad/s. The bug crawls to the center of the disk. (a) What is the new angular velocity of the disk? (b) What is the change in the kinetic energy of the system? (c) If the bug crawls back to the outer edge of the disk, what is the angular velocity of the disk then? (d) What is the new kinetic energy of the system? (e) What is the cause of the increase and decrease of kinetic energy?
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?
A long, thin rod of mass m = 5.00 kg and length = 1.20 m rotates around an axis perpendicular to the rod with an angularspeed of 3.00 rad/s. a. What is the angular momentum of therod if the axis passes through the rods midpoint? b. What is theangular momentum of the rod if the axis passes through a pointhalfway between its midpoint and its end?
A discus thrower rotates with a discus in his hand before letting it go. (a) How does his moment of inertia change after releasing the discus? (b) What would be a good approximation to use in calculating the moment of inertia of the discus thrower and discus?
Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about its axis through its center and is perpendicular to the page. The cylinder has a mass of 0.5 kg and a radius of 10 cm, and is initially at rest. (a) What is the angular velocity of the system after the collision? (b) How much kinetic energy is lost in the collision?
At a particular instant, a 1.0-kg particle’s position is , its velocity is , and the force on it is . (a) What is the angular momentum of the particle about the origin? (b) What is the torque on the particle about the origin? (c) What is the time rate of change of the particle’s angular momentum at this instant?
Candace is a 53 kg diver. At the instant of takeoff, her angular momentum about her transverse axis is 20 kg.m7s. Her radius of gyration about the transverse axis is 0.4 m at this instant. During the dive, Candace tucks and reduces her radius of gyration about thetransverse axis to 0.18 m.a) At takeoff, what is Candace's moment of inertia about her transverse axis? kg*m?b) At takeoff, what is Candace's angular velocity in degrees/sec about the transverse axis?c) After Candace tucks, what is her moment of inertia about her transverse axis? kg*m? d) After Candace tucks, what is her angular velocity in degrees/sec about the transverse axis?
For a classroom demonstration, a student sits on a piano stool holding a sizable mass in each hand. Initially, the studentholds his arms outstretched and spins about the axis of the stool with an angular speed of 3.72 rad>s. The moment of inertiain this case is 5.33 kg # m2. While still spinning, the student pulls his arms in to his chest, reducing the moment of inertiato 1.60 kg # m2. (a) What is the student’s angular speed now? (b) Find the initial and final angular momenta of the student.
A 2.20 kg hoop 1.20 m in diameter is rolling to the right without slipping on a horizontal floor at a steady 3 rad/s. For the hoop, I=MR2. (a) How fast is its center moving? (b) What is the total kinetic energy of the hoop?
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?
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