Ch 10. Vibrations Multimedia Engineering Dynamics Free Vibs. Undamped Free Vibs. Damped Forced Vibration Energy Method
 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 Equations Sections Search eBooks Dynamics Fluids Math Mechanics Statics Thermodynamics Author(s): Kurt Gramoll ©Kurt Gramoll

 DYNAMICS - CASE STUDY Introduction Problem Diagram A wheel-and-tire assembly is being tested on a tire balancer. The wheel-and-tire assembly is slightly out of balance. If this wheel were on a car, the car could be very difficult to control. What is known: slider mass m1 = 20 kg wheel and tire mass m2 = 25 kg spring constant k = 7,000 N/m damping constant c = 56 N s/m eccentricity d = 1 cm rotation speeds 90, 120, 150 rpm Question What is the equation of motion for the platform on which the wheel is mounted? Approach Determine the differential equation of motion. Solve the differential equation for the homogeneous and particular parts. Apply the initial conditions to the complete solution of the differential equation.

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