Question

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.

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
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 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 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...
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 ? (?)...
Determine C1 and C2 of the following damped motion A 4-lb weight stretches a spring 4...
Determine C1 and C2 of the following damped motion A 4-lb weight stretches a spring 4 ft. Initially the weight released from 2ft above equilibrium position with downward velocity 2 ft/sec. Find the equation of motion x(t), provided that the subsequent motion takes place in a medium that offers a damping force numerically equal to (1/2) times the instantaneous velocity
A mass weighing 32 pounds stretches a spring 2 feet. The mass is initially released from...
A mass weighing 32 pounds stretches a spring 2 feet. The mass is initially released from rest from a point 1 foot below the equilibrium position with an upward velocity of 2ft/sec. find the equation of the motion and solve it, determine the period and amplitude.
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 24 pounds attached to the end of the spring and stretches it 4...
A mass weighing 24 pounds attached to the end of the spring and stretches it 4 inches. The mass is initially released from rest from a point 3 inches above the equilibrium position with a downward velocity of 2 ft/sec. Find the equation of the motion?  
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, the system is immersed in a liquid that offers 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 ? (?) at all...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT