A stiff, thin, metal rod with negligible mass is free to rotate in a vertical plane about pivot point P, as shown in the figure below. The rod has three small beads (labeled 1, 2, and 3 in the figure), all with the same mass m, attached to it as shown. The rod is held horizontally and then released from rest at timet = 0. Find all results below in terms of the mass m, distance d, and acceleration due to gravity g.1Pmm22d23m3(a) What is the moment of inertia of the system of three particles about the pivot point P?I= (No Response)(b) What is the net torque magnitude about point P at t = 0?Tnet= (No Response)(c) What is the angular acceleration of the system about point P at t = 0?magnitudedirectionα = (No Response)(No Response)(d) What is the linear acceleration of bead 3 at t = 0?magnitude a = (No Response)direction(No Response)(e) What is the maximum kinetic energy of the system?K = (No Response)max(f) What is the maximum angular speed about point P attained by the rod?@max=(No Response)(g) What is the maximum angular momentum of the system about point P? (Enter the magnitude.)Lmax= (No Response)(h) What is the maximum speed attained by bead 2?Vmax= (No Response)

Understanding the Setup:A massless rod pivots about point P. There are three beads of mass m at the…

Answered: A stiff, thin, metal rod with…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 45PQ: 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...

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