Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 15P: A vibration sensor, used in testing a washing machine, consists of a cube of aluminum 1.50 cm on...
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![Derive expressions for the position an velocity vectors of the mass in terms of the generalised coordinates 9₁
and 92 and their derivatives.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2c390cf-8acf-4c60-9b77-8bec77d62d9e%2Ff7701db7-1180-4689-87ea-d8b0359612b3%2F7r60lar_processed.png&w=3840&q=75)
Transcribed Image Text:Derive expressions for the position an velocity vectors of the mass in terms of the generalised coordinates 9₁
and 92 and their derivatives.
![The system in the figure below consists of a massless spring with stiffness 60 N/m and unstretched length 0.6 m
that is wrapped around a rigid vertical bar. A collar C of mass 6 kg is attached to the end of the spring and slides
without friction along the vertical bar. A second rigid massless bar of length 0.5 m is attached to the collar and
pivots without friction about its attachment point. A particle P of mass 1 kg is rigidly attached to the end of the
second bar. Take as generalised coordinate q₁ the vertical coordinate of C and as generalised coordinate 92 the
angle of the second bar with respect to the vertical bar.
F
C
92
P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2c390cf-8acf-4c60-9b77-8bec77d62d9e%2Ff7701db7-1180-4689-87ea-d8b0359612b3%2F7fvuah_processed.png&w=3840&q=75)
Transcribed Image Text:The system in the figure below consists of a massless spring with stiffness 60 N/m and unstretched length 0.6 m
that is wrapped around a rigid vertical bar. A collar C of mass 6 kg is attached to the end of the spring and slides
without friction along the vertical bar. A second rigid massless bar of length 0.5 m is attached to the collar and
pivots without friction about its attachment point. A particle P of mass 1 kg is rigidly attached to the end of the
second bar. Take as generalised coordinate q₁ the vertical coordinate of C and as generalised coordinate 92 the
angle of the second bar with respect to the vertical bar.
F
C
92
P
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