Question

a mass 1kg stretches a spring by 74cm. the external force F(t)=8sin3t, setting the motion with...

a mass 1kg stretches a spring by 74cm. the external force F(t)=8sin3t, setting the motion with zero velocity. what is coefficient of sin3t steady state? express you answer in two decimal
Math   Calculus   
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 of 1kg stretches a spring by 32cm. The damping constant is c=0. Exterbal vibrations...
A mass of 1kg stretches a spring by 32cm. The damping constant is c=0. Exterbal vibrations create a force of F(t)= 4 sin 3t Netwons, setting the spring in motion from its equilibrium position with zero velocity. What is the coefficient of sin 3t of the steady-state solution? Use g=9.8 m/s^2. Express your answe is two decimal places.
A mass of 1 kg stretches a spring 9.8 m. The mass is acted on by...
A mass of 1 kg stretches a spring 9.8 m. The mass is acted on by an external force of 4 cos(t) N. If the mass is set in motion from its equilibrium position with a downward velocity of 2 m/s, find the position of the mass at any time. Identify the transient (i.e., complementary) and steady state (i.e., particular) solutions. Does the motion exhibit resonance or a beat?
3. A mass of 5 kg stretches a spring 10 cm. The mass is acted on...
3. A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10 sin(t/2) N (newtons) and moves in a medium that imparts a viscous force of 2 N when the speed of the mass is 4 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 3 cm/s, formulate the initial value problem describing the motion of the mass. Then (a) Find the...
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 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...
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...
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 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 of 8 kg stretches a spring 16 cm. The mass is acted on by...
A mass of 8 kg stretches a spring 16 cm. The mass is acted on by an external force of 7sin⁡(t/4)N and moves in a medium that imparts a viscous force of 3 N when the speed of the mass is 6 cm/s.If the mass is set in motion from its equilibrium position with an initial velocity of 4 cm/s, determine the position u of the mass at any time t. Use 9.8 m/s^2 as the acceleration due to gravity....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT