Question

In an undamped mass-spring system, a metal ball of weight 20nt stretches the spring 40cm and...

In an undamped mass-spring system, a metal ball of weight 20nt stretches the spring 40cm and the system is at rest.

(1) What will the frequency of the resulting harmonic oscillation be? (Use g=10m/sec^2)

(2) If this system is undamped and it is stretched by 20cm again and released with zero initial velocity, find the displacement y(t) of the ball at time t.

Science   Advanced-Physics   
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
1.   A 4 pound weight stretches a spring 6 inches. The mass is then released from...
1.   A 4 pound weight stretches a spring 6 inches. The mass is then released from an initial position of 4 feet below the equilibrium position with an initial upward velocity of 24ft/s.    (a)   What is the frequency of motion? (b)   Determine the first time the mass crosses the equilibrium position. Round to 3 decimals places. (c)   Determine the first time the mass attains its extreme displacement from the equilibrium position. Round to 3 decimal places.
Given the undamped spring/mass system The weight is 8 N (Newtons) The spring constant is 100...
Given the undamped spring/mass system The weight is 8 N (Newtons) The spring constant is 100 N/m The length of the spring is 2 m. At t=0, the spring is compressed 0.5 m, making the length 1.5 m. Down is the positive direction A)Determine the frequency of oscillations of the mass? (Include units)   maximum_displacement= B)Determine the equilibrium position including units of the spring with the mass attached (if the mass is not moving.) Equalibrium_position= C)What is the restoring force of...
A mass weighting 8 lbs stretches a spring 2 inches. The mass is in a medium...
A mass weighting 8 lbs stretches a spring 2 inches. The mass is in a medium that exerts a viscous resistance of 3 lbs when the mass has a velocity of 6 ft/sec. Suppose the object is displaced an additional 7 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =
Suppose a mass weighing 64 lb stretches a spring 2 ft. If the weight is released...
Suppose a mass weighing 64 lb stretches a spring 2 ft. If the weight is released from rest from 2 ft below the equilibrium position, find the equation of motion x(t) (using Laplace transforms) if an impressed force f(t) = 2 sint acts on the system for 0≤t≤2πand is then removed. Ignore any damping forces.
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
1. Calculate the spring constant ,k, for a spring, if the spring stretches by 0.2 m...
1. Calculate the spring constant ,k, for a spring, if the spring stretches by 0.2 m as a result of an applied force of 200N. 2. A 20 kg mass is attached to a spring with spring constant, K=100 N/m. The spring/mass system is stretched by 5cm, and then released from rest and allowed to oscillate back and forth A.) What is the amplitude of vibration in this system? B.) Calculate the acceleration of the mass at X=0. 3. In...
If a mass weighing 40 lbs stretches a spring 6 inches what is the spring constant?...
If a mass weighing 40 lbs stretches a spring 6 inches what is the spring constant? If the mass has a velocity of 4 ft/sec and this results in a viscous resistance of 68 lbs what is the damping coefficient? Assume 32lb=1 slug32lb=1 slug   1. suppose the object is displaced upward 8 inches from equilibrium and released. Create an ODE in terms of the object's displacement, u(t)u(t) , in feet after tt  seconds and its derivatives and solve for u(t)u(t) .
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?  
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 block-spring system consists of a spring with constant k = 445 N/m attached to a...
A block-spring system consists of a spring with constant k = 445 N/m attached to a 2.25 kg block on a frictionless surface. The block is pulled 4.10 cm from equilibrium and released from rest. For the resulting oscillation, find the amplitude, angular frequency, frequency, and period. What is the maximum value of the block's velocity and acceleration?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT