Given: The gear shown moves on a fixed horizontal rack. The gear has mass m and a radius of gyration of k equal to its radius. The rod BC connected to the gear has length 1, and mass 2m with center of mass located at pt. G. The slider at B has negligible mass, and the attached spring has a spring constant k equal to mg/l. The system is released from rest in a vertical position (the bar BC is vertical). In this position, the spring is unstretched. The system has negligible friction and mass of the spring. B mrod G R mrod = 2m mgear = m 4 I mgear, k Find: Find the velocity of the point C on the gear after it has moved a distance of 1/2 to the right.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Given: The gear shown moves on a fixed horizontal rack. The gear has mass m and a radius of
gyration of k equal to its radius. The rod BC connected to the gear has length 1, and
mass 2m with center of mass located at pt. G. The slider at B has negligible mass, and the
attached spring has a spring constant k equal to mg/l. The system is released from rest in
a vertical position (the bar BC is vertical). In this position, the spring is unstretched. The
system has negligible friction and mass of the spring.
k
mrod
G
R
mrod = 2m
mgear = m
l,
I=
mgear,
k
Find: Find the velocity of the point C on the gear after it has moved a distance of 1,/2 to the right.
Transcribed Image Text:Given: The gear shown moves on a fixed horizontal rack. The gear has mass m and a radius of gyration of k equal to its radius. The rod BC connected to the gear has length 1, and mass 2m with center of mass located at pt. G. The slider at B has negligible mass, and the attached spring has a spring constant k equal to mg/l. The system is released from rest in a vertical position (the bar BC is vertical). In this position, the spring is unstretched. The system has negligible friction and mass of the spring. k mrod G R mrod = 2m mgear = m l, I= mgear, k Find: Find the velocity of the point C on the gear after it has moved a distance of 1,/2 to the right.
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