Analytical mchenics www ww ww A particle with mass m in a vertical plane moves on a circle of radius R in the presence of gravity and the spring force to which it is attached. The potential energy of a particle is V (0) = -mgRcos20 +kR²(2cos0 – 1)²such that the 0 is angle with the vertical direction and |0|<. 2° mg For kR what values of the particle 4 angle 0 is in steady state? 1.0 2.±cos 3. ±cos-) 4. 0 аnd + cos

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Analytical mchenics
A particle with mass m in a vertical
plane moves on a circle of radius R in
the presence of gravity and the spring
force to which it is attached. The
potential energy of a particle is V (0)
-mgRcos20 +÷KR²(2cos0
– 1)?such
-
2
that the 0 is angle with the vertical
direction and |0|<.
2
mg
For
kR
1
what values of the particle
4
angle 0 is in steady state?
1.0
2.±cos-1)
3. ±cos-E)
4. O and ± cos¯
Transcribed Image Text:Analytical mchenics A particle with mass m in a vertical plane moves on a circle of radius R in the presence of gravity and the spring force to which it is attached. The potential energy of a particle is V (0) -mgRcos20 +÷KR²(2cos0 – 1)?such - 2 that the 0 is angle with the vertical direction and |0|<. 2 mg For kR 1 what values of the particle 4 angle 0 is in steady state? 1.0 2.±cos-1) 3. ±cos-E) 4. O and ± cos¯
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