Consider a mass-spring system with a mass of 1 kg attached to the spring, having springconstant 9 kg/m. Assuming that the motion of the object is undamped, and the system issubjected to an external force F(t) = 4 cos ot,6.a. Determine the displacement of the object if y(0) = 0, y(0) = 0.b. For what value of o the resonance would take place?a. [ y(t) =b. [ Resonance occurs at w = 3];(cos 3t- cos wt), w # 3; y(t) =t sin 3t, w = 3]w2-9

given data;mass (m)=1kgspring constant k=9kg/mF(t)=4cosωt

Consider a mass-spring system with a mass of 1 kg attached to the spring, having spring constant 9 kg/m. Assuming that the motion of the object is undamped, and the system i subjected to an external force F(t) = 4 cos ot, 6. a. Determine the displacement of the object if y(0) = 0, ý(0) = 0. b. For what value of o the resonance would take place?

Consider a mass-spring system with a mass of 1 kg attached to the spring, having spring constant 9 kg/m. Assuming that the motion of the object is undamped, and the system i subjected to an external force F(t) = 4 cos ot, 6. a. Determine the displacement of the object if y(0) = 0, ý(0) = 0. b. For what value of o the resonance would take place?

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

Mechanical vibrations
B6
Using the method of superposition determine the response of an undamped spring-mass system to the forcing functions shown. Fo t, 26, 3t, 2. t, 2t , t, zt, 34,
Q2 Determine the response of the system when k = 1000 N/m, m = 20 kg, and the initial values of the displacements of the masses m₁ and m₂ are 1 and -1, respectively. Base k₂ m₁ m₂ x₁(1) x₂(1)
The disk rolls without slip a. What is the critical damping coefficient, c for the system? b. Plot the response of the system when the center of the disk is displaced 5 mm from equilibrium and released from rest, if: i. c= cd/2 r= 40 cm 4 kN/m thin disk of mass m = 1 kg. no slip
Determine the equivalent spring stiffness of the system using the displacement of the block as the generalized coordinate
Determine the natural frequency of the system shown beside using Equilibrium Method
A 1kg mass is dropped 5m onto 9kg mass where it sticks. If the mass Is supported by a spring k=250n/m and a damper c = 60ns/m. What is the resulting response of the 9k mass x(t)
A mass m is attached to two identical springs having constant k as shown in the figure. What is the natural frequency ∞ of this single degree of freedom system?
Dynamics of Structures
If both springs are usntretched when the mass is in the central position shown, determine the static deflection of the mass. What is the period of oscillatory motion about the position of static equilibrium? The mass m = 3.4, the spring constant k = 295 N/m, and the angle theta = 31 degrees
When a mass of 2 kilograms is attached to a spring whose constant is 32 N/m, it reaches rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 68(e^-2t)cos4t is applied to the system. Determine the equation of motion in the absence of damping.