| Ch 2. Particle Force and Acceleration | Multimedia Engineering Dynamics | ||||||
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Rect. Coord. |
Normal/Tang. Coord. |
Polar Coord. |
Orbital Mechanics | Computational Mechanics | |||
| Polar Coordinates | Case Intro | Theory | Case Solution | Example |
| Chapter |
| - Particle - |
| 1. General Motion |
| 2. Force & Accel. |
| 3. Energy |
| 4. Momentum |
| - Rigid Body - |
| 5. General Motion |
| 6. Force & Accel. |
| 7. Energy |
| 8. Momentum |
| 9. 3-D Motion |
| 10. Vibrations |
| Appendix |
| Basic Math |
| Units |
| Basic Dynamics Eqs |
| Sections |
| eBooks |
| Dynamics |
| Fluids |
| Math |
| Mechanics |
| Statics |
| Thermodynamics |
©Kurt Gramoll
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 Rotating Spring Arm |
Example |
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| A 5 kg collar slides along a rod that is rotating. The collar is also attached to the center with a spring. There is friction between the collar and the bar, μ = 0.3. At a particular time, dθ/dt = 1.2 rad/s, dr/dt = 0.9 m/s, d2r/dt2 = 1.3 m/s2, and r = 0.7 m. The angular velocity is constant. What is the force magnitude acting on the collar due to the spring? Neglect gravity. | ||
| Solution |
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The acceleration in the radial and theta directions need to be determined before summing forces. The given information is, Substituting into acceleration equations, Summing forces and accelerations give, ΣF = mar |
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