The motion y(t) is the input to the system and the motion of the body x(t) is the output of the system. A motorcycle is travelling at a speed of 55 mph on a road with a sinusoidal elevation. The distance between peak-to-trough is 3 ft and the distance between two consecutive peaks is 50 ft. The natural frequency of the suspension system is 5 rad/sec and the damping ratio is 0.2. Determine the amplitude of vibration in x.

The motion y(t) is the input to the system and the motion of the body x(t) is the output of the system. A motorcycle is travelling at a speed of 55 mph on a road with a sinusoidal elevation. The distance between peak-to-trough is 3 ft and the distance between two consecutive peaks is 50 ft. The natural frequency of the suspension system is 5 rad/sec and the damping ratio is 0.2. Determine the amplitude of vibration in x.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

The motion y(t) is the input to the system
and the motion of the body x(t) is the output of the system.
A motorcycle is travelling at a speed of 55 mph on a
road with a sinusoidal elevation. The distance between
peak-to-trough is 3 ft and the distance between two
consecutive peaks is 50 ft. The natural frequency of the
suspension system is 5 rad/sec and the damping ratio is
0.2. Determine the amplitude of vibration in x.

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The following data is given for the spring-mass-damper system shown in Figure 1: • K1 = 250 N/m, K2 = 350 N/m • C1 = 150 N/ (m/sec), C2 = 200 N/ (m/sec) m = (25 + 21) kg Determine: i. The undamped natural frequency. i. The damping ratio. iii. The damped natural frequency. iv. Response of the system x (t) for given initial conditions: Xo = 0.005 m and vo = 5 m/sec. x(t) k 2 m C1 C2 Figure 1 ||