Answered: An undamped oscillator is driven at its… | bartleby

Related questions

Question

An undamped oscillator is driven at its resonance frequency wo by a harmonic force
F = F, sin wot. The initial conditions are x, = 0 and vo = 0.
(a) Determine r(t).
(b) If the breaking strength of the 'spring' of the oscillator is 5F., deduce an equation
from which the time t, taken to reach the breaking point can be calculated in
terms of wo-

Expert Solution

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Calculate the velocity of a simple harmonic oscillator with amplitude of 13.5 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in Sl units.
A spring is compressed by 0.0610 m and is used to launch an object horizontally with a speed of 2.80 m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?
a particle of mass m makes simple harmonic motion with force constant k around the equilibrium position x = 0. Calculate the valu of the amplitude and the phase constant if the initial conditions are x(0) = 0 and v(0) = -Vi (vi > 0). Draw x-t, v - t and a - t figures for one complete cycle of oscillations.
Because of dissipative forces, the amplitude of an oscillator decreases 4.94% in 10 cycles. By what percentage does its energy decrease in ten cycles?
Please help me
A simple pendulum has a length of 52.6 cm and makes 81.8 complete oscillations in 2.00 min. (a) Find the period of the pendulum. IS (b) Find the value of g at the location of the pendulum. .2 m/s?
The position of an oscillating object in cm is described by x = (3) cos 8πt, where t is in seconds. Find the first time the particle reaches the equilibrium position after the oscillation has started.
A mass-spring-dashpot system is modeled by the differential equation: x" + 4x + 5x = f(t) (a) What is the type of oscillatory motion of the mass? Explain. (b) Find the transient solution of the system. (c) Find the steady state solution of the system for f(t) = 4 cos wt for w= 1. Write your solution as C cos (wt -a). (d) Solve the initial value problem for z(0) = 12, x'(0) = 0. (e) Draw the steady state solution and describe the oscillation.
Asap plz
Calculate the velocity of a simple harmonic oscillator with amplitude of 11.4 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in Sl units. Answer: Choose...
Calculate the velocity of a simple harmonic oscillator with amplitude of 19.9 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in SI units.
An 9-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 20 N/m and the damping constant is 4 N-sec/m. At time t= 0, an external force of 8 sin 2t cos 2t is applied to the system. Determine the amplitude and frequency of the steady-state solution. The amplitude is (Type an integer or a decimal. Round to four decimal places as needed.)

SEE MORE QUESTIONS