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Using Mathematica – An Example

Using Mathematica – An Example. Live on your Computer!. A Mountain Bike Suspension (Problem 5.25). At the point of Crossing a Bump’.  2 is at 221   2 is 205 rad/sec CW  2 is at 60 rad/s 2 CW. Design Starts: Links to Vectors. Basic Loop Equation:. r 2. r 1. r 3. r 4.

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Using Mathematica – An Example

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  1. Using Mathematica – An Example Live on your Computer!

  2. A Mountain Bike Suspension (Problem 5.25)

  3. At the point of Crossing a Bump’ • 2 is at 221 • 2 is 205 rad/sec CW • 2 is at 60 rad/s2 CW

  4. Design Starts: Links to Vectors Basic Loop Equation: r2 r1 r3 r4

  5. Knowns and Unknowns: • Knowns: • Magnitudes of all the vectors • 1 = 180 - 61 = 119 and 2 = 221 • Velocity and Acceleration of these two angles (1 is fixed!) • Unknowns: • 3 and 4 • We seek angular velocity and acceleration of Link 3

  6. Writing Loop Equation in Component Form: • We must develop a model for our unknowns – following the text example • Isolate 4 in both, Square and isolate 3 • Considering the ½ solutions to build a model for tan(½3) • Take 1st Derivatives of component eqns build velocity models • Take 2nd Derivatives of Component eqns to get Accel models • Isolate the 3 terms!

  7. The “Key”: Velocity

  8. Accel:

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