Question

Spring system, mass and dampers with k = 4000 N / m, m = 10 kg...

Spring system, mass and dampers with k = 4000 N / m, m = 10 kg and c = 40 Ns / m
get a harmonic excitation force F (t) = 200 sin 16t N with initial conditions x0 = 0.05 m
and
a. Response x due to initial conditions (free vibration)
b. Response x due to excitation force (forced vibration)
c. The magnitude of the total xtot response (in m or mm) at t = 2.5 seconds
Engineering   Mechanical-Engineering   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

A thumbs up, pls !!

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Spring system, mass and dampers with k = 4000 N / m, m = 10 kg...
Spring system, mass and dampers with k = 4000 N / m, m = 10 kg and c = 40 Ns / m get a harmonic excitation force F (t) = 200 sin 16t N with initial conditions x0 = 0.05 m and ?̇0 = 10 m / s. Look for it, a. Response x due to initial conditions (free vibration) b. Response x due to excitation force (forced vibration) c. The magnitude of the total xtot response (in m...
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. (a) If the system is driven by an external force of (12 cos 3t − 8 sin 3t) N, determine the steady-state response. (b) Find the gain function if the external force is f(t) = cos(ωt). (c) Verify...
For what value of m will resonance occur for a simple spring-mass system with spring constant...
For what value of m will resonance occur for a simple spring-mass system with spring constant k at 3x105 N/m under a harmonic force excitation f(t) = 200sin(50t)? m = _______ kg
a body mass m = 2.025 kg is suspended by an ideal spring. At equilibrium the...
a body mass m = 2.025 kg is suspended by an ideal spring. At equilibrium the spring elongation is y0 = 2.5 cm. The upper end of the spring is subjected to a harmonic oscillation movement with amplitude A = 1 mm. The oscillator quality factor is Q = 15. Determine: a) the own pulsation of the oscillator b) the amplitude of the forced oscillations when the oscillator's own pulse is equal to the pulsation of the external force
A block of mass 2.5 kg is connected to a spring with k=1250 N/m. (a) At...
A block of mass 2.5 kg is connected to a spring with k=1250 N/m. (a) At t = 0 the block is released from rest at x(t = 0) = 28 mm from equilibrium. The motion is linearly damped with b = 50 kg/s. Find the amplitude A and phase angle ?. (Note that the amplitude is not obviously the displacement at t = 0 as it would be for the undamped case!) (b) Now consider a driving force with...
#1: A mass of 6 kg is attached to a spring with k = 1500 N/m....
#1: A mass of 6 kg is attached to a spring with k = 1500 N/m. It is stretched a distance of 0.5 m and is released so that it oscillates in simple harmonic motion. A) What is the frequency? B) What is the energy of the oscillator? C) What is the maximum velocity for the oscillator? #2:  When at x = 0.3 m a simple harmonic oscillator (k = 2000 N/m and m = 2 kg) has a velocity of...
A 2.1 kg mass is connected to a spring (k=175 N/m) and is sliding on a...
A 2.1 kg mass is connected to a spring (k=175 N/m) and is sliding on a horizontal frictionless surface. The mass is given an initial displacement of +14 cm and released with an initial velocity of -19 cm/s. Determine the acceleration of the spring at t=1.2 seconds. (include units with answer)
A spring-mass system is composed of a mass m = 200 g and a massless spring...
A spring-mass system is composed of a mass m = 200 g and a massless spring of force constant k obeying Hooke’s Law, and the whole system is located on a horizontal frictionless table. The mass m makes oscillations about the equilibrium position x = 0 according to the relation x(t) = (15 cm) sin 2πt. (You can take π = 3.) What is the force constant k of the spring? (a) 36/5 N/m   (b) 36 N/m   (c) 54 N/m  ...
For a vibrating system, m = 10 kg, k = 2500 N/m, and c = 45...
For a vibrating system, m = 10 kg, k = 2500 N/m, and c = 45 N*s/m. A harmonic force of amplitude 180 N and frequency 3.5 Hz acts on the mass. If the initial displacement and velocity of the mass are 15 mm and 5 m/s, respectively, find the complete solution representing the motion of the mass.
Consider a horizontal spring-mass vibration system without damping, where the mass is 2 kg, the spring...
Consider a horizontal spring-mass vibration system without damping, where the mass is 2 kg, the spring is 18 N/m, and the external force is a periodic force f(t) = 6sin(3t): a) Write the differential equation modeling the motion of this spring-mass system b) Solve the differential equation in (a). Show Work c) If at the initial time t = 0, the mass is at position 2 m to the right of the equilibrium position and its velocity is 1 m/s...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT