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.

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

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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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