Question

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

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 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-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)...
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 ? (?)...
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...
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 m is attached to a spring with stiffness k=25 N/m. The mass is stretched...
A mass m is attached to a spring with stiffness k=25 N/m. The mass is stretched 1 m to the left of the equilibrium point then released with initial velocity 0. Assume that m = 3 kg, the damping force is negligible, and there is no external force. Find the position of the mass at any time along with the frequency, amplitude, and phase angle of the motion. Suppose that the spring is immersed in a fluid with damping constant...
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.
when a mass of 2 kg is attached to a spring whose constant is 32 N/m,...
when a mass of 2 kg is attached to a spring whose constant is 32 N/m, it come to rest in the equilibrium position. at a starting time t=0, an external force of y=80e^(-4t)*cos(4t) is applied to the system. find the motion equation in the absence of damping.
When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m,...
When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 80e−4t cos 4t is applied to the system. Find the equation of motion in the absence of damping.
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT