Question

A very large mass-spring system has stiffness 186 N/m, mass 0.33 kg, and is oriented horizontally...

A very large mass-spring system has stiffness 186 N/m, mass 0.33 kg, and is oriented horizontally atop a level table. The system released with initial compression of of 5 cm and initial speed 2 m/s.

a What is the maximum stretch of the spring during the motion in m?

b What is the maximum speed that the mass obtains in m/s?

c If the friction force is on average Fu = 0.065 N, what is the change in energy per cycle? Give your answer in J.

d What is the required input power to maintain oscillation? Give your answer in watts.

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
A horizontal spring-mass system has low friction, spring stiffness 200 N/m, and mass 0.5 kg. The...
A horizontal spring-mass system has low friction, spring stiffness 200 N/m, and mass 0.5 kg. The system is released with an initial compression of the spring of 9 cm and an initial speed of the mass of 3 m/s. (a) What is the maximum stretch during the motion? _ m (b) What is the maximum speed during the motion?   _m/s (c) Now suppose that there is energy dissipation of 0.02 J per cycle of the spring-mass system. What is the...
A mass of 0.5 kg is attached to a horizontal spring with k=12 N/m.. At t=0,...
A mass of 0.5 kg is attached to a horizontal spring with k=12 N/m.. At t=0, the spring has a stretch of 3 cm and the mass moves at 0.5 m/s. Assume no friction. (a) What is the amplitude (max stretch) of the oscillation? (b) What is the maximum speed of the mass? (c) What is the frequency of the oscillation, in rad/s?
A 1/4​-kg mass is attached to a spring with stiffness 52 N/m. The damping constant for...
A 1/4​-kg mass is attached to a spring with stiffness 52 N/m. The damping constant for the system is 6 ​N-sec/m. If the mass is moved 3/4 m to the left of equilibrium and given an initial rightward velocity of 1 ​m/sec, determine the equation of motion of the mass y(t) = and give its damping​ factor, quasiperiod, and quasifrequency.
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
A 5​-kg mass is attached to a spring with stiffness 225 N/m. The damping constant for...
A 5​-kg mass is attached to a spring with stiffness 225 N/m. The damping constant for the system is 30√5 N-sec/m. If the mass is pulled 20 cm to the right of equilibrium and given an initial rightward velocity of 3 ​m/sec, what is the maximum displacement from equilibrium that it will​ attain? ​(Type an exact​ answer, using radicals as​ needed.)
A 4 kg mass is attached to a spring with stiffness 48 N/m. The damping constant...
A 4 kg mass is attached to a spring with stiffness 48 N/m. The damping constant for the spring is 16\sqrt{3} N - sec/m. If the mas is pulled 30 cm to the right of equilibrium and given an initial rightward velocity of 3 m/sec, what is the maximum displacement from equilibrium that it will attain?
A 4kg mass is attached to a spring with stiffness 80 N/m. The damping constant for...
A 4kg mass is attached to a spring with stiffness 80 N/m. The damping constant for the system is 16sqrt(5) N-sec/m. If the mass is pulled 10 cm to the right of equilibrium and given an initial rightward velocity of 4 m/sec, what is the maximum displacement from equilibrium that is will attain? The maximum displacement is [ ] meters. Type an exact answer, using radicals as needed
A spring with k=45 N/m is oriented vertically with one end fixed to the ground. A...
A spring with k=45 N/m is oriented vertically with one end fixed to the ground. A 0.5 kg mass on top of the spring compresses it. 1. Provide a conceptual explanation of what is happing for each of the following cases : a. You hold the mass while you gently compress the spring, and when you release the mass it sits at rest atop the spring. b. You place the mass on the uncompressed spring and release it. c. You...
A block with mass m =7.3 kg is hung from a vertical spring. When the mass...
A block with mass m =7.3 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.29 m. While at this equilibrium position, the mass is then given an initial push downward at v = 5 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? N/m Submit 2) What is the oscillation frequency? Hz Submit 3) After t = 0.45 s what is...
A 0.25 kg mass is attached to the end of a spring connected horizontally to a...
A 0.25 kg mass is attached to the end of a spring connected horizontally to a wall. The mass is displaced 8.5 cm, then released, and it undergoes SHM. The spring constant is 1.4 x 10^2 N/m. Assume the amplitude of oscillation remains constant. a.) How far does the mass move in the first five cycles? b.) Compare the phase after 2.5 cycles with the initial phase. c.) What is the period of oscillation of the mass-spring system?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT