Figure 13 shows a simple model of a machine part, with an applied moment applied clockwise to the disc. The disc rotates without translation. Assume that the mass is on a frictionless surface and also that the disc rotates around the shaft with no friction effects. (a) Determine the kinetic and potential energy of the system. (b) Determine the equation of motion of the system using Lagrange’s equation.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Figure 13 shows a simple model of a machine part, with an applied moment applied clockwise to the disc. The disc rotates without translation. Assume that the mass is on a frictionless surface and also that the disc rotates around the shaft with no friction effects. (a) Determine the kinetic and potential energy of the system. (b) Determine the equation of motion of the system using Lagrange’s equation.
Fig 13.
k2
k1
m1
Transcribed Image Text:Fig 13. k2 k1 m1
13. Figure 13 shows a simple model of a machine part, with an applied moment M(t) applied clockwise to the
disc. The disc rotates without translation. Assume that the mass is on a frictionless surface and also that the
disc rotates around the shaft with no friction effects.
(a) Determine the kinetic and potential energy of the system.
(b) Determine the equation of motion of the system using Lagrange's equation.
Transcribed Image Text:13. Figure 13 shows a simple model of a machine part, with an applied moment M(t) applied clockwise to the disc. The disc rotates without translation. Assume that the mass is on a frictionless surface and also that the disc rotates around the shaft with no friction effects. (a) Determine the kinetic and potential energy of the system. (b) Determine the equation of motion of the system using Lagrange's equation.
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