consider a moving based pendulum model as shown in figure lthe structural properties of the mech

We'd like to find the max angular velocity allowable. So let's find our stretched length. Our st

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Text: Consider a mass-based pendulum model as shown in Figure 1. The structural properties of the mechanism are provided in Table 1. 1. Derive the nonlinear equation of motion of the model using the Lagrangian method. Select your own generalized coordinates. 2. Simplify the equation for small deformations and small angular rates to give a linearized coupled equation. 3. If the initial displacement of the collar is Î¸ and all other initial generalized coordinates are zero, numerically simulate the displacement of the collar and the rotation of the bar for the first 2 seconds using the linearized equation and using the nonlinear equation. 4. Repeat Step 3 if the initial displacement of the collar is Î¸ and all other initial generalized coordinates are zero. 5. Discuss the results of Steps 3 and 4 and provide the conclusion. Figure 1: (w) 1.0 k (N/m) 100 mc (kg) 2.4 L 0.010 /L 0.1

          Text: Consider a mass-based pendulum model as shown in Figure 1. The structural properties of the mechanism are provided in Table 1.

1. Derive the nonlinear equation of motion of the model using the Lagrangian method. Select your own generalized coordinates.
2. Simplify the equation for small deformations and small angular rates to give a linearized coupled equation.
3. If the initial displacement of the collar is Î¸ and all other initial generalized coordinates are zero, numerically simulate the displacement of the collar and the rotation of the bar for the first 2 seconds using the linearized equation and using the nonlinear equation.
4. Repeat Step 3 if the initial displacement of the collar is Î¸ and all other initial generalized coordinates are zero.
5. Discuss the results of Steps 3 and 4 and provide the conclusion.

Figure 1:
(w) 1.0
k (N/m) 100
mc (kg) 2.4
L 0.010
/L 0.1

consider a moving based pendulum model as shown in figure lthe structural properties of the mechanism are provided in table 1 1derive the nonlinear equation of motion of the model using lagr 11083

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