QUESTION 2Consider a small spring about 30mm long, welded to a stationary table(ground) so that it is fixed at thepoint with a 12mm bolt welded to the other end which is free to move. The mass of this system is about49.2x10 3kg. the spring stiffness is measured to be k=857.8N/m. Calculate the natural frequency andperiod. Also determine the maximum amplitude of the response if the spring is initially deflected 10mm.

Answered: Image /qna-images/answer/103e19d1-fd1a-49d0-92a8-c6f05126aaa8.jpg

QUESTION 2 Consider a small spring about 30mm long, welded to a stationary table(ground) so that it is fixed at the point with a 12mm bolt welded to the other end which is free to move. The mass of this system is about 49.2x10 kg. the spring stiffness is measured to be k=857.8N/m. Calculate the natural frequency and period. Also determine the maximum amplitude of the response if the spring is initially deflected 10mm.

QUESTION 2 Consider a small spring about 30mm long, welded to a stationary table(ground) so that it is fixed at the point with a 12mm bolt welded to the other end which is free to move. The mass of this system is about 49.2x10 kg. the spring stiffness is measured to be k=857.8N/m. Calculate the natural frequency and period. Also determine the maximum amplitude of the response if the spring is initially deflected 10mm.

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

See similar textbooks

Similar questions

Consider a small spring about 30mm long, welded to a stationary table(ground) so that it is fixed at the point with a 12mm bolt welded to the other end which is free to move. The mass of this system is about 49.2x10kg. the spring stiffness is measured to be k=857.8N/m. Calculate the natural frequency a nd period. Also determine the maximum amplitude of the response if the spring is initially deflected 10mm.
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
Find the response of the mass if it is subject to the force in the plot. The damping ratio for the system is 0.1. You do not have to expand the series nor carry out any multiplication in the response equation. Hint: ao = 0. You may use this value and do not have to calculate ao- 2a 50 Mass m m = 10 kg Massless Rigid Rod a =0.3 m Massless Circular Cord -50 Length { = 0.625n m Diameter d = 0.01 m 0 1 Time (s) -2 -1 2 3 Modulus E = 0.001 GPa Force (N)
One of the tail rotor blades of a helicopter was damaged, and due to the repair, there is an extra 2 kg mass 0.40 m from the axis of rotation. The equivalent system before the repair had a mass of 102 kg and stiffness of 93.8 kN/m. Assume the rotor was well-balanced before the damage. The repaired helicopter tail has a damping ratio of 0.15. Find the steady-state response of the tail when the blades rotate at 1500 rpm.
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.
A single degree damped vibrating system is formed of a block of mass m= 10 kg, a spring of K= 100 N/m and a damper of damping constant C. The initial position of the block is at x = 80 mm. The system was initially at rest. The figure below represents the variation of the displacement of the block with respect to time. Determine the response of at t=2s for x₁ = 60 mm. the W₁ Choose.. Choose Zetta Choose.. محبه ٦/٣
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
Consider an underdamped mass spring system with mass m = 1 kg spring constant k = 8 N/m, and damping coefficient, stretched past equilibrium by 1 m and released with an initial velocity of 0 m/s. N.S a = 4 m www. Equilibrium Position (a) Write the solution of the initial value problem. x(t) = (b) Identify the pseudo-frequency. Find the circular frequency if damping is removed. m N s m (c) Determine the first time in seconds in which the mass returns to equilibrium position after being set in motion. (Round your answer to two decimal places.)
Asap
The following mass-and-spring system has stiffness matrix K. For the mks values, find the two natural frequencies of the system and describe its two natural modes of oscillation. m1 m2 k1 k2 k3 x1 x2 K= −k1+k2 k2 k2 −k2+k3 m1=1, m2=5; k1=3, k2=10, k3=15 Let ω1<ω2be the two natural frequencies. ω1= ω2= (Type exact answers, using radicals as needed.)
A 0.600kg mass oscillates at the end of spring that has a spring constant of 300N/m. the initial amplitude is 0.500m . the damping force is proportional to the velocity, -av. If the amplitude decreases from .50m to 350m in 2.50s . What is the damping constant ?Is the system underdamped, critically damped or overdamped?
Determine the damping factor and natural frequency for the second-order system below and determine the type of response. ωn= ζ = system type =