OOAn accelerometer indicates that the acceleration of a body is sinusoidal at a frequencyof 8 Hz. If the maximum acceleration is 12 m/2, find the amplitudes of the displacementand the velocity.A table has a vertical sinusoidal motion with constant frequency. What is the largestdisplacement amplitude that the table can have, if an object on the table is to remain incontact? Explain your answer.A periodic motion is described by the equation, x(t)=3sin (11πt) +5 cos (9πt) in.Plot the motion, x vs. t, for 0≤t≤3s. Remember to use MATLAB and to properlyannotate the plot (x-axis labels, y-axis labels, units, title, etc.)

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Answered: An accelerometer indicates that the…

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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An m-mass pendulum is connected to a spring with the spring constant k through the massless rope along I as in the picture. x, i k www point y =0 m The spring is then given a deviation of x, so it moves at a speed of x. Assume point y = 0 is parallel to the spring, so that the potential energy of the pendulum negative value. If the pendulum has a deviation of 0, specify: The system motion equation uses the Euler-Lagrange equation.
Q1. Consider a 3-meter long pendulum placed on the moon and given an initial angular displacement of 0.4 rad and zero initial velocity. Note that gravity on the earth's moon is g,m g is the acceleration due to gravity on earth. g/6, where m mg (A) Write down the equation of motion for the pendulum (B) Calculate the amplitude of the angular displacement of the swinging pendulum (C) Calculate the maximum angular velocity of the swinging pendulum (D) Calculate the maximum angular acceleration of the swinging pendulum
Determine the equation of motion and natural frequency for the inverted pendulum. Gravity acts as a destabilizing force and must be considered in the equation of motion. L sin 0 m k L(1 - cos 0) a a sipé
An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical direction. It is driven along a road whose elevation varies sinusoidally. The distance from peak to valley () is 0.2 m and the distance along the road between the peaks is 35 m. If the natural frequency of the automobile is 2 Hz and the damping ratio of the shock absorbers is 0.15, determine the amplitude of vibration of the automobile at a speed of 60 km/hour. If the speed of the automobile is varied, find the most unfavorable speed for the passengers.
Determine the natural frequency of a pendulum whose length is 41 ft. in Hz

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An accelerometer indicates that the acceleration of a body is sinusoidal at a frequency of 8 Hz . If the maximum acceleration is 12 m/2, find the amplitudes of the displacement and the velocity.