A bead of mass m is threaded on a metal hoop of radius R. There is a coefficient of kinetic friction µk between the bead and the hoop. It is given a push to start it sliding around the hoop with initial speed vo. The hoop is located on the space station, so you can ignore gravity. 1. Find the normal force exerted by the hoop on the bead as a function of its speed. 2. Find the kinetic frictional force exerted by the hoop on the bead as a function of its speed. 3. Find its speed as a function of time. This involves using the frictional force on the bead in Newton's second law, finding its tangential acceleration on the hoop (which is the time rate of change of its speed) and solving the equation of motion
A bead of mass m is threaded on a metal hoop of radius R. There is a coefficient of kinetic friction µk between the bead and the hoop. It is given a push to start it sliding around the hoop with initial speed vo. The hoop is located on the space station, so you can ignore gravity. 1. Find the normal force exerted by the hoop on the bead as a function of its speed. 2. Find the kinetic frictional force exerted by the hoop on the bead as a function of its speed. 3. Find its speed as a function of time. This involves using the frictional force on the bead in Newton's second law, finding its tangential acceleration on the hoop (which is the time rate of change of its speed) and solving the equation of motion
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)...
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
Transcribed Image Text:A bead of mass m is threaded on a metal hoop of radius R. There is a coefficient of kinetic friction µk
between the bead and the hoop. It is given a push to start it sliding around the hoop with initial speed vo.
The hoop is located on the space station, so you can ignore gravity.
1. Find the normal force exerted by the hoop on the bead as a function of its speed.
2. Find the kinetic frictional force exerted by the hoop on the bead as a function of its speed.
3. Find its speed as a function of time. This involves using the frictional force on the bead in Newton's
second law, finding its tangential acceleration on the hoop (which is the time rate of change of its
speed) and solving the equation of motion
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