Please A weight attached to a 525N/m spring is a damped system. When the weight is displaced and leftfree, the resulting damped vibration period is 1.80s and at 2 amplitudes consecutive ones go from4.2cm to 1.0cm. Determine the amplitude when the force F=2cos3t acts on the system. Forlogarithmic decrement use the full logarithmic decrement formula and remember the relationshipbetween D static and D dynamic.8 =2ηπξ1-§²D11- B²)² + (2. 5. B ²²2=D dynamic /D static

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Answered: A weight attached to a 525N/m spring is…

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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Please hand written answer Mass = 1.6kg is hung from a spring. Static displacement is 1.4cm. The top support is pushed in a sinusoidal way. If the amplitude of the support motion = 0.2cm and the period is 0.58 seconds. How to find the resulting amplitude of the motion of hung mass?
(b) The displacement of a vibrating body is x = 25e 4cos (3t-0.2),where t is in sec and x is in cm. The ratio of two successive amplitudes at the interval half of the time period is 14.20. Evaluate the time of period of vibration and logarithmic decrement of the amplitude.
A single degree of freedom mass-spring-damper system is subject to vibration under the influence of a harmonic force. On my site, it is given as m=2 kg, k=800 N/m, c=64 Ns/m. The amplitude of the harmonic force is F0=256 N and its frequency is w= 20 rad/s. Answer the questions in options a, b, and c according to the given information. 1) Calculate the damping ratio of the system (ξ) a.1 b.0.7 c.0.9 d.0.8 2)Calculate the magnification factor (M) of the system. a.0.86 b.1.25 c.0.312 D.0.625 3-) Calculate the maximum vibration amplitude (X) (meters). a.0.2 b.0.1 c.0.4 D.0.3
A machine weighing 300lb is mounted on a supporting system consisting of four springs and four dampers. The vertical deflection of the supporting system under the weight of the machine is measured as 0.75in. The dampers are designed to reduce the amplitudeof vertical vibration to one-sixthof the initial amplitude after two complete cycles of free vibration. Find the following undamped natural frequency,damping ratio, and damped natural frequencyofthesystem.
A free vibration test is conducted on an empty water tank shown in Figure 1. A cable attached to the tank applies F=120kN force with an angle a=46° to the vertical and pull the tank horizontally by U.-9cm. The cable is suddenly cut and the response of the tank is recorded. At the end of 4 complete cycles, the time is 2s, and the amplitude is 5cm. a) Determine damping ratio ; the natural period T₁, stiffness K; weight W, damping coefficient C of the system, and determine the number of cycles required for the displacement amplitude decreases to 0.5cm of the system.
1. A system is needed to be designed as damped spring mass system. Calculate the amplitude of vibration. Stiffness=10 kN/m; mass 2Mg; and dashpot coefficient 2 kNs/m. It is subjected to a harmonic force = 500N @ frequency 0.5Hz ANS. X₁-43mm 2. What is the A length of three springs connected in series and parallel? Change in length of the spring is 4 cm. reelle k₁ llll пише m=160 gram
A free vibration test is conducted on an empty water tank shown in Figure 1. A cable attached to the tank applies F=120kN force with an angle a=46° to the vertical and pull the tank horizontally by u.-9cm. The cable is suddenly cut and the response of the tank is recorded. At the end of 4 complete cycles, the time is 2s, and the amplitude is 5cm. b) Determine the natural period and damping ratio if the tank is filled by water, Wwater =350kN. Figure 1
A weight of 10lb is suspended by a spring having a modulus of 15 lb-s/in. When displaced and permitted to oscillate freely, it is found that the amplitude diminished from 1.5 in to 1.316 in in exactly 10 cycles. a.) determine the system mathematical model. Just show the illustration of the mathematical model.
The damped spring system shown on the board has the collowing properties. m = 0·0259 1b-sec / inch k = 20 lb/in C=0.11b. Sec/ in the mass B suddenly released with o mitral velvety 3 If Ca 2. F $ from on mitral displacement of 2 inch. Find the max amplitude of free vibration of the mees after 5 and 20 oscillations TECNO SPARK
General Solution for small oscillations of a simple pendulum with length 5.0 m and mass of 2.0 kg and spring constant of 8 N/m is given as: x = Ccos(0 – 4) VK/m Where w = And 0 = wt Find the numerical values of the a) amplitude of the spring; b) period of the of the spring; c) frequency of the spring.
Q1/ An instrument vibrate with a frequency of 1 Hz when there is no damping. When the damping is provided, the frequency of damped vibrations was observed to be 0.9 Hz. Find (1) the damping factor, and (2) logarithmic decrement.
A block attached to a spring, oscillates on a frictionless horizontal surface with a period of 0.3 s. The time needed by the block to move (for the first time) from position x A to x = -A/2 is: O 0.2 sec O 0.3 sec 0.15 sec 0.1 sec 0.05 sec A block-spring system has a maximum restoring force Emax 0.1N. If the amplitude of the motion is A = 0.01mand

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