hw6_OCW

# hw6_OCW - ˙ θ = 0 φ = 0 ˙ φ = 0 2 Do problem 2.6 on...

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16.61 Pro f .J .P .How Prof. J. Deyst Handout #6 March 20, 2003 Due: April 3, 2003 16.61 Homework Assignment #6 1. Consider a spherical pendulum with a spring and damper connected in parallel. In the Fgure, ˙ φ is positive up the page, ˙ θ is positive going into the page. Using spherical coordinates r, θ, φ derive the equations of motion for the mass. ±or the initial conditions listed, describe the motion of the pendulum after a long time. (Neglect air resistance.) r 0 = L, ˙ r 0 = ˙ L, θ 0

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Unformatted text preview: , ˙ θ = 0 , φ = 0 , ˙ φ = 0 2. Do problem 2.6 on page 63 of Greenwood’s Principles of Dynamics 1 3. Consider the 2D system shown in the fgure. The pivot point For the pendulum sup-porting the mass m is attached to the wheel that is rotating about a fxed point at a constant rate ω . ±ind the equations oF motion oF the system and show that when ω = 0 you recover the expected equations oF motion For the pendulum. 2...
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hw6_OCW - ˙ θ = 0 φ = 0 ˙ φ = 0 2 Do problem 2.6 on...

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