Question

An object of mass one unit is hanging from a spring. Initially it is held still...

An object of mass one unit is hanging from a spring. Initially it is held still at 1/2 unit of length below its equilibrium position. It is then released. Using a restoring force given by k=16 and a damping constant c=8 find x(t), where x(t) gives the position of the weight at time t, sketch the graph of the function (Simple Harmonic motion)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An object of mass one unit is hanging from a spring. Initially it is held still...
An object of mass one unit is hanging from a spring. Initially it is held still at 1/2 unit of length below its equilibrium position. It is then released. Using a restoring force given by k=16, find x(t) where x(t) gives the position of the weight at time t. Assuming no damping or external force on the spring. (the second sentence gives Xo and Vo for the initial conditions X(0)= Xo, X'(0)=Vo
An object of mass of 2.7 kg is attached to a spring with a force constant...
An object of mass of 2.7 kg is attached to a spring with a force constant of k = 280 N/m. At t = 0, the object is observed to be 2.0 cm from its equilibrium position with a speed of 55 cm/s in the -x direction. The object undergoes simple harmonic motion “back and forth motion” without any loss of energy. (a) Sketch a diagram labeling all forces on the object and calculate the maximum displacement from equilibrium of...
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 spring-mass system consists of a 0.5 kg mass attached to a spring with a force...
A spring-mass system consists of a 0.5 kg mass attached to a spring with a force constant of k = 8 N/m. You may neglect the mass of the spring. The system undergoes simple harmonic motion with an amplitude of 5 cm. Calculate the following: 1. The period T of the motion 2. The maximum speed Vmax 3. The speed of the object when it is at x = 3.5 cm from the equilibrium position. 4. The total energy E...
An object has a mass of 2 Kg. It is attached to a spring that has...
An object has a mass of 2 Kg. It is attached to a spring that has a constant of K=10 N/m and also a damping force of 4 times the velocity. The object begins at 1 m below equilibrium and has a beginning velocity of 1 m/s toward equilibrium( upward) . Solve for the position x(t). Is the spring overdamped, underdamped or critically damped?
a. A device consists of an object with a weight of 20.0 N hanging vertically from...
a. A device consists of an object with a weight of 20.0 N hanging vertically from a spring with a spring constant of 240 N/m. There is negligible damping of the oscillating system. Applied to the system is a harmonic driving force of 13.0 Hz, which causes the object to oscillate with an amplitude of 3.00 cm. What is the maximum value of the driving force (in N)? (Enter the magnitude.) b. What If? The device is altered so that...
A particle with mass 2.61 kg oscillates horizontally at the end of a horizontal spring. A...
A particle with mass 2.61 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.923 m and a duration of 129 s for 65 cycles of oscillation. Find the frequency, ?, the speed at the equilibrium position, ?max, the spring constant, ?, the potential energy at an endpoint, ?max, the potential energy when the particle is located 68.5% of the amplitude away from the equiliibrium position, ?, and the kinetic energy, ?, and...
An object with mass 2.5 kg is attached to a spring with spring stiffness constant k...
An object with mass 2.5 kg is attached to a spring with spring stiffness constant k = 270 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. ____m (b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.] ____m/s
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT