Question

2. Consider a spring-mass-damper system with the equation of motion given by: ?̈+ 2?̇ + 122?...

2. Consider a spring-mass-damper system with the equation of motion given by: ?̈+ 2?̇ + 122? = 0 a) Is the system overdamped, underdamped or critically damped? Does the system oscillate? If the system oscillates, compute the frequency of the oscillations in rad/s and Hz. b) Determine the displacement response if the initial conditions are ?0 = −1 mm and ?0 = 12 mm/s

Engineering   Mechanical-Engineering   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

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
3. Consider a spring-mass-damper system with the equation of motion given by: ?̈+ 7?̇ + 10?...
3. Consider a spring-mass-damper system with the equation of motion given by: ?̈+ 7?̇ + 10? = 0 c) Is the system overdamped, underdamped or critically damped? Does the system oscillate? If the system oscillates, compute the frequency of the oscillations in rad/s and Hz. d) Determine the displacement response if the initial conditions are ?0 = 2 mm and ?0 = −7 mm/s
A block moving on the end of a spring with a force constant ? = 2.5...
A block moving on the end of a spring with a force constant ? = 2.5 ?⁄? is acted on by a damping force ?? = −???. (a) If the constant b has the value 0.9 kg/s, what is the frequency of oscillation of the block? (b) For what value of b will the motion be critically damped? (c) Draw brief sketches and explain the difference between underdamped, critically damped and overdamped oscillations.
A block moving on the end of a spring with force constant ? = 2.5 ?⁄?...
A block moving on the end of a spring with force constant ? = 2.5 ?⁄? is acted on by a damping force ?(?) = −??(?) (a) If the constant b has the value 0.9 kg/s, what is the frequency of oscillation of the block? (b) For what value of b will the motion be critically damped? (c) Draw brief sketches and explain the difference between underdamped, critically damped and overdamped oscillations.
Consider the mass-spring systems with spring constant 1 and damping constant b. For which values of...
Consider the mass-spring systems with spring constant 1 and damping constant b. For which values of b is this system underdamped, overdamped, undamped, or critically damped?
2. A child’s toy consists of a truck that is mounted on a spring and moves...
2. A child’s toy consists of a truck that is mounted on a spring and moves horizontally on a surface. The truck has a mass of 50 g and the spring constant is 1.25 N/m. Assume the drag force is linear. (a) What is the natural frequency of the toy (include units)? (b) Draw a free body diagram for the truck and write down the equations of motion. (c) If the drag coefficient, b, is 0.6 kg/s, is the system...
11.2 A mass oscillates on a spring of force constant 25.0 N/m and is subjected to...
11.2 A mass oscillates on a spring of force constant 25.0 N/m and is subjected to a damping force Fx = ?bvx , where b = 2.40 kg/s. (a) What special value of the mass m determines whether the mass undergoes underdamped oscillations, is critically damped, or is overdamped? (b) If m is eight times this special value, how long does it take for the amplitude to be reduced by 50%? What is the period of the oscillation? Plot the...
An object has a mass of 2 Kg. It is attached to a spring that has...
An object has a mass of 2 Kg. It is attached to a spring that has a constant of K=10 N/m and also a damping force of 4 times the velocity. The object begins at 1 m below equilibrium and has a beginning velocity of 1 m/s toward equilibrium( upward) . Solve for the position x(t). Is the spring overdamped, underdamped or critically damped?
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...
In the mass - viscous damper - spring system with m = 0.1 lb-s 2 /...
In the mass - viscous damper - spring system with m = 0.1 lb-s 2 / in; If the mass is displaced by hydraulic jack and suddenly released, determine the spring and damper constants after 20 full cycles for 3 seconds and the width of 0.2 in. In the mass - friction - spring system, determine the spring and friction coefficients for the same system.
A horizontal mass spring oscillator is constructed, where the mass of the oscillator is 3 kg,...
A horizontal mass spring oscillator is constructed, where the mass of the oscillator is 3 kg, the spring constant is 3 kg/s, and the friction parameter of the medium b kg/s. Denote the displacement of the oscillator from the equilibrium position by y(t). Find the equation _______=0 The spring is critically damped when b=___ When b=0, the frequency of the oscillation will be ___s^-1. When b=3, the frequency of oscillation will be ____s^-1.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT