Answered: 9. Which of the following relationships…

9. Which of the following relationships between the force F on a particle and the particles position x implies simple harmonic oscillation (a) F= -7x (b) F= 200x2 %3D (c) F= 10x (d) F= 5x²

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

Q2: For a system the equations of motion are as shown below, find frequencies and mode shapes. Т Ţ X₂(1) muqu k, = k m₁ = m k₂= nk m₂ = m k₁ = k
Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration). Drum diameter = 0.8m Mass of load = 3kg Initial velocity = 0 m/s Time to descend = 0.5 secs Distance travelled = 0.25m You have been asked to use this information to determine: The final linear velocity of the load The linear acceleration of the load The final angular velocity of the drum The angular acceleration of the drum The tension force in the cable The torque applied to the drum In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous. From the formulae used (above) you should apply dimensional analysis techniques to develop two equations for power (in terms of linear velocity and angular velocity).
A simple pendulum whose string measures 1 = 2 m and whose mass is 5 kg is at rest in its position of equilibrium and is subjected to a harmonic forcing of intensity F₁ = 2 N and frequency w rad/s. find: a) The frequency @ for which the system is in resonance. b) Make a graph of angular position v/s time where the amplitude and period of the system if the frequency w is equal to twice the resonant frequency.
2.7. Find the frequency equations for small oscillations of the systems shown. ! || min www m (a) m P
8. The motion of the piston in the engine of an automobile is approximately simple harmonic. If the stroke of the piston (twice the amplitude) is equal to 20.3 cm and the engine turns at 1800 rpm, find (a) the acceleration at x = A and (b) the speed of the piston at the midpoint of the stroke. aA = Vmid =
Q6) A string of infinite length is stretched from -0 to +0 and subjected to the following initial velocity: 1 -1sx<0 v(x)={-1 0sxsl 0 o therwise Find the initial displacement required to be applied in order the resulting motion will be: (a) Wave traveling to the right only (b) Wave traveling to the left only
Please answer with explanation. I will really upvote
1. A thin disk attached to the end of an elastic beam has three uncoupled modes of vibration. The longitudinal motion, transverse motion and the torsional oscillations are all kinematically independent. Calculate the following for the system shown. a. Longitudinal stiffness b. Transverse stiffness c. Torsional stiffness mumm 65 cm r= 10 mm E-200 x 10° N/m² G=80 x 10º N/m²
The number of oscillation per second is periodic time. Select one: True False
A spring with mass 1 kg is attached to one side of a spring with spring constant k = 12 kg/sec2. The other end of the spring is connected to the side of a steel beam so that the spring may oscillate in the horizontal direction. Suppose that friction is proportional to velocity with constant of proportionality f = 7 kg/sec. Write a differential equation for y(t), the position of the mass at time t, with the initial conditions y(0) = 0 and y(0) =1 m/sec. Solve your resulting IVP.
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. k₁ k₂ K3 K= - (K₁ + K₂) k₂ m₁ = 1, m₂ = 5; k₁ = 3, k₂ = 15, k3 = 15 k₂ - (K₂ + K3) Describe the mode of oscillation for w₂. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The two masses move linearly, staying a fixed distance apart. B. The two masses oscillate in the same direction, where the amplitude of m₁ is O C. The two masses oscillate in opposite directions, where the amplitude of m₁ is D. The two masses oscillate in the same direction with equal amplitudes. E. The two masses oscillate in opposite directions with equal amplitudes. times the amplitude of m2. times the amplitude of m₂.