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

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 74PQ: Starting from rest, a rectangular toy block with mass 300 g slides in 1.30 s all the way across a...

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