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    Equation of Motion and other Physics Problems

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    6 What is the equation of motion for the idealized model shown?

    7 For the idealized system shown, what is the natural circular frequency in rad/sec, and the period of oscillation in seconds?

    1 The equivalent spring constant of two parallel springs with spring constants
    20 lb/in., and 50 lb/in. is:

    8 A Mass-Spring-Damper system is tested to determine the value of the viscous damping coefficient c. Assume k =150 N/m and m = 30 kg. The vibrational amplitude is observed to decrease to 33% of its initial value after two consecutive cycles. What is the value of the logarithmic decrement?

    9 A Mass-Spring-Damper system is tested to determine the value of the viscous damping coefficient c. Assume k =150 N/m and m= 30 kg. The vibrational amplitude is observed to decrease 33% of its initial value after two consecutive cycles. What is the value of the viscous damping ratio?

    10 A Mass-Spring-Damper system is tested to determine the value of the viscous damping coefficient c. Assume k= 150 N/m and m = 30 kg. The vibrational amplitude is observed to decrease to 33% of its initial value after two consecutive cycles. What is the value of the viscous damping coefficient c?

    13 In the idealized model shown, m = 15 kg, k = 135 N/m, and the viscous damping ratio is 0.15. Assume that an external harmonic force F(t) = 15 cos 4 t acts on the system with F0=15 N and forcing frequency of 4 rad/s. Find the magnification factor M for the frequency ratio r of 1.382

    See attached file for full problem description.

    © BrainMass Inc. brainmass.com April 3, 2020, 4:36 pm ad1c9bdddf
    https://brainmass.com/physics/circular-motion/equation-motion-other-physics-problems-121451

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    6 What is the equation of motion for the idealized model shown?

    7 For the idealized system shown, what is the natural circular frequency in rad/sec, and the period of oscillation in seconds?

    1 The equivalent spring constant of two parallel springs with spring constants
    20 lb/in., and 50 lb/in. is:
    F = F1 + F2 = k1*x + k2*x = (k1 + k2)*x =kx => k =k1+k2 = 70 lb/in
    8 A ...

    Solution Summary

    This solution describes how to determine the equation of motion and other physics problems.

    $2.19

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