A particle of mass m slides down in a smooth rigid bowl (hemispherical surface) as shown in Figure 3. m

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A particle of mass m slides down in a smooth rigid bowl (hemispherical
surface) as shown in Figure 3.
R
Figure 3.
Derive for the particle the
(a) Newtonian equations of motion,
(b) Lagrange's equations of motion and the reaction of the bowl on m, and
(c) Hamilton's equations of motion.
Transcribed Image Text:A particle of mass m slides down in a smooth rigid bowl (hemispherical surface) as shown in Figure 3. R Figure 3. Derive for the particle the (a) Newtonian equations of motion, (b) Lagrange's equations of motion and the reaction of the bowl on m, and (c) Hamilton's equations of motion.
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