Engineering, 11.02.2020 19:25 officialgraciela67

The following equation occurs in the solution of certain vibrations problems involving a constant cross-section beam with an end load, f(x) cx cot(x). It is necessary to find several, often hundreds, of the roots of this equation in computations of vibrational response of a given system. You are to find the first 25 positive roots of this equation using the bisection method. Write a MATHCAD program to accomplish this task. Taking c = 0.375
1. plot cot(x) and cx versus x.
2. use the results from the above plot to determine bracketing values for each of the first 25 positive roots of f(x)=0.
3. set the maximum error in determining the root to 10-5 and compute all 25 roots using five decimal places.
4. compare your results to those obtained by using the intrinsic root finding function in either MATHCAD or MATLAB.

Answers: 2

Show answers

Another question on Engineering

Engineering, 04.07.2019 18:10

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Answers: 1

Answer

Engineering, 04.07.2019 18:10

Which of the following refers to refers to how well the control system responds to sudden changes in the system. a)-transient regulation b)- distributed regulation c)-constant regulation d)-steady-state regulation

Answers: 1

Answer

Engineering, 04.07.2019 18:10

Which from the following instrument is commonly used to detect the high pitch butzing sound in bearings? [clo4] a)-digital ultrasonic meter b)-infrared camera c)-spectroscopic d)-vibrometer

Answers: 2

Answer

Engineering, 04.07.2019 18:20

Acertain flow of air (at stp) has a velocity distribution given by v i (in ft/s). if this flow is going through a 4 ft square area in the yz-plane (centered at the origin), what is the mass flow rate (in lbm/s)?

Answers: 2

Answer

You know the right answer?

The following equation occurs in the solution of certain vibrations problems involving a constant cr...

Questions