Question

A 1-kg mass is attached to a spring whose constant is 16 N/m and the entire...

A 1-kg mass is attached to a spring whose constant is 16 N/m and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equation if (A) The weight is released 60 cm below the equilibrium position. x(t)= ; (B) The weight is released 60 cm below the equilibrium position with an upward velocity of 17 m/s. x(t)= ; Using the equation from part b, (C) Find the time when the weight is at maximum displacement above equilibrium: t= ; (D) Find the maximum displacement above equilibrium in centimeters (cm):

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 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire...
A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion if the following is true. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = m (b) the mass is initially released from a point 1 meter below the equilibrium...
A 1-kilogram mass is attached to a spring whose constant is 16 N / m, and...
A 1-kilogram mass is attached to a spring whose constant is 16 N / m, and then the entire system is immersed in a liquid that imparts a damping force equal to 10 times the instantaneous speed. Determine the equations of motion if the mass is initially released from a point 1 meter below the equilibrium position. differential equations
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 of 4 Kg attached to a spring whose constant is 20 N / m...
A mass of 4 Kg attached to a spring whose constant is 20 N / m is in equilibrium position. From t = 0 an external force, f (t) = et sin t, is applied to the system. Find the equation of motion if the mass moves in a medium that offers a resistance numerically equal to 8 times the instantaneous velocity. Draw the graph of the equation of movement in the interval.
A force of 400N stretches a string 2 meters. A mass of 50kg is attached to...
A force of 400N stretches a string 2 meters. A mass of 50kg is attached to the end of the spring and stretches the spring to a length of 4 meters. The medium the spring passes through creates a damping force numerically equal to half the instantaneous velocity. If the spring is initially released from equilibrium with upward velocity of 10 m/s. a) Find the equation of motion. b) Find the time at which the mass attains its extreme displacement...
A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The...
A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 12 ft/s. Determine the time at which the mass passes through the equilibrium position. (Use g = 32 ft/s2 for the acceleration due to gravity.) s Find the time after the mass...
MASS SPRING SYSTEMS problem (Differential Equations) A mass weighing 6 pounds, attached to the end of...
MASS SPRING SYSTEMS problem (Differential Equations) A mass weighing 6 pounds, attached to the end of a spring, stretches it 6 inches. If the weight is released from rest at a point 4 inches below the equilibrium position, and the entire system is immersed in a liquid that imparts a damping force numerically equal to 3 times the instantaneous velocity, solve: a. Deduce the differential equation that models the mass-spring system. b. Calculate the displacements of the mass ? (?)...
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 4 kg mass is attached to a spring with stiffness 48 N/m. The damping constant...
A 4 kg mass is attached to a spring with stiffness 48 N/m. The damping constant for the spring is 16\sqrt{3} N - sec/m. If the mas is pulled 30 cm to the right of equilibrium and given an initial rightward velocity of 3 m/sec, what is the maximum displacement from equilibrium that it will attain?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT