Question

A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...

A mass weighing 16 pounds stretches a spring
8
3
feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to
1
2
the instantaneous velocity. Find the equation of motion
x(t)
if the mass is driven by an external force equal to
f(t) = 20 cos(3t).
(Use
g = 32 ft/s2
for the acceleration due to gravity.)
Math   Advanced-Math   
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
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1 2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s2 for the acceleration...
A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from...
A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s^2 for the acceleration due to...
A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to...
A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to 2 times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 9 ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x(t) = Find the time at which the mass attains its...
A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to...
A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to sqrt(2) times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 9 ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x(t) = Find the time at which the mass attains its...
A mass weighing 16 pounds stretches a spring 1 feet. It is initially released from a...
A mass weighing 16 pounds stretches a spring 1 feet. It is initially released from a point 1 foot above the equilibrium position with an upward velocity of 6 ft/s. Find the equation of motion. Determine the amplitude, period, and frequency of motion. (Use g = 32 ft/s2 for the acceleration due to gravity.)
A mass of 1 slug, when attached to a spring, stretches it 2 feet and then...
A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at t = 0, an external force equal to f(t) = 4 sin(4t) is applied to the system. Find the equation of motion if the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity. (Use g = 32 ft/s2 for the acceleration due to gravity.) What is x(t) ?...
A force of 64 pounds stretches a spring 4 feet. A mass of 4 slugs is...
A force of 64 pounds stretches a spring 4 feet. A mass of 4 slugs is attached to the spring and is initially released from rest 2 feet below the equilibrium position. (a) Suppose the spring has a damping force equal to 16 times the instantaneous velocity and is being driven by an external force, ?(?) = 4 cos(5?) . Write the IVP that this problem describes. (3 pts) (b) Solve the equation in part (a) to obtain the equation...
A mass weighing 8 pounds stretches a spring 2 feet. At t=0 the mass is released...
A mass weighing 8 pounds stretches a spring 2 feet. At t=0 the mass is released from a point 2 feet above the equilibrium position with a downward velocity of 4 (ft/s), determine the motion of the mass.
A mass weighing 19.6 N stretches a spring 9.8 cm. The mass is initially released from...
A mass weighing 19.6 N stretches a spring 9.8 cm. The mass is initially released from a point 2/3 meter above the equilibrium position with a downward velocity of 5 m/sec. (a) Find the equation of motion. (b)Assume that the entire spring-mass system is submerged in a liquid that imparts a damping force numerically equal to β (β > 0) times the instantaneous velocity. Determine the value of β so that the subsequent motion is overdamped.
A mass weighing 16 pounds is attached to a spring and stretches it 4 feet. You...
A mass weighing 16 pounds is attached to a spring and stretches it 4 feet. You release the mass from rest one foot below equilibrium. (a) What is the initial value problem that models this scenario? (b) What is the equation of motion? (c) What is the period of motion? (d) Assume now that there is a damping force equivalent to 6 times the velocity. Repeat parts (a) and (b). (e) Now assume there is still the damping force, but...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT