Question

A mass of five kilograms is mounted horizontally on a spring, with spring constant 1 Newton...

A mass of five kilograms is mounted horizontally on a spring, with spring constant 1 Newton per meter, and friction coefficient 4 Newton-seconds per meter. The mass is in a magnetic field which exerts an additional force on the mass of constant strength 1 Newton. At time t = 0, the mass is at rest, at its equilibrium position. Write down the differential equation which describes the position of the mass, and compute its general solution.

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
When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m,...
When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 51e−2t cos 4t  is applied to the system. Find the equation of motion in the absence of damping. x(t)= ?? m
A particular spring has a spring constant of 50 Newton/meters. Suppose a 1/2 kg mass is...
A particular spring has a spring constant of 50 Newton/meters. Suppose a 1/2 kg mass is hung on the spring and is initially sent in motion with an upward velocity of 10 meters per second, 1/2 meter below the equilibrium position. A) Write down the DE that models the motion of this spring. B) Write down the initial conditions. C) Find the equation of motion for the spring. D) Suppose this spring mass system experiences a viscous damping term that...
1. A 0.12kg body is connected to a wall by a spring with a spring constant...
1. A 0.12kg body is connected to a wall by a spring with a spring constant of 570 N/m. The body experiences simple oscillatory motion when pulled from its equilibrium rightward by 0.080m and then released from rest. what is the displacement of the block after 0.20s. 2. An object connected to a spring (with a spring constant of 29.8 N/m) is displaced 0.232 meter from equilibrium on a frictionless horizontal tabletop; upon release, the object experiences simple harmonic motion...
You drop an object with mass 3 kilograms from atop a building. Suppose the air resistance...
You drop an object with mass 3 kilograms from atop a building. Suppose the air resistance constant is γ = 6 newton seconds per meter. Let v(t) be the velocity of the object at time t. Write the differential equation for v.
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 block of mass 2.00 kg is attached to a horizontal spring with a force...
. A block of mass 2.00 kg is attached to a horizontal spring with a force constant of 500 N/m. The spring is stretched 5.00 cm from its equilibrium position and released from rest. Use conservation of mechanical energy to determine the speed of the block as it returns to equilibrium (a) if the surface is frictionless (b) if the coefficient of kinetic friction between the block and the surface is 0.350
A spring is compressed 1.5m by a a 4kg mass, which isn't attached, and the spring...
A spring is compressed 1.5m by a a 4kg mass, which isn't attached, and the spring has a force constant of 300N/m. Assume the surface has no friction How fast is the mass moving when it returns to equilibrium after release? How long does it take in seconds for the mass to return to the equilibrium position after release?
A vertical ideal spring is mounted on the floor and has a spring constant of 180...
A vertical ideal spring is mounted on the floor and has a spring constant of 180 N/m. A 0.80-kg block is placed on the spring in two different ways. (a) In one case, the block is placed on the spring and not released until it rests stationary on the spring in its equilibrium position. Determine the amount (magnitude only) by which the spring is compressed. (b) In a second situation, the block is released from rest immediately after being placed...
A 172 g block is launched by compressing a spring of constant k=200N/m a distance of...
A 172 g block is launched by compressing a spring of constant k=200N/m a distance of 15 cm. The spring is mounted horizontally, and the surface directly under it is frictionless. But beyond the equilibrium position of the spring end, the surface has coefficient of friction μ=0.27. This frictional surface extends 85 cm, followed by a frictionless curved rise, as shown in the figure After launch, where does the block finally come to rest? Measure from the left end of...
A box with a mass of 1.386 kilograms collides head-on with a spring constant of 1.26...
A box with a mass of 1.386 kilograms collides head-on with a spring constant of 1.26 m*N. When the box stopped, the spring was compressed by 25.05 centimeters. The kinetic friction coefficient between the box and the floor is 0.484 and the gravitational acceleration is 9.8 m/s2. At this point, obtain the speed (m/s) of the box just before it comes into contact with the spring.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT