Question

Consider a mass oscillating on a horizontal spring on a frictionless surface about the origin If at t = 0 the mass is moving through the origin in the positive x direction, which of the following could be the v(t) for the mass? vi m/s) vi m/s) tis) 0.5 101.5 2.0 2.0 t( s) ti s) 2.0 ti s) tf s) 0.51.0 1.52 -2

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Equation for the position of mass in SHM (Simple Harmonic Motion) moving in positive x - direction, which is at origin at t = 0 ,can be written as

y-Asinut

So, the velocity of the particle will be

  dy d(Asinut) dt Aw cos wt dt

Graph of cosine function :

So, the only possible graph for the v(t) is last one.

Add a comment
Know the answer?
Add Answer to:
Consider a mass oscillating on a horizontal spring on a frictionless surface about the origin If...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Hi, please answer the question. I will be more then happy to thumbs up it if...

    Hi, please answer the question. I will be more then happy to thumbs up it if it is correct! Consider a mass oscillating on a horizontal spring on a frictionless surface about the origin. If at t- 0, the mass is moving through the origin in the positive x direction, which of the following could be the v(t) for the mas vim/s m/s) vim/s) t( s) .510 15 2 t(s) t(s) -1 -1 O-2 vim/s vm/s vim/s) t( s) 2.0...

  • A mass of 0.5 kg moving along a horizontal frictionless surface encounters a spring having k...

    A mass of 0.5 kg moving along a horizontal frictionless surface encounters a spring having k = 200 N/m. The mass compresses the spring by 0.1 meters before reversing its direction. Consider the total time the mass is in contact with the spring. What is the total impulse delivered to the mass by the spring? (Let the initial direction of the mass's motion be the positive direction.)

  • Suppose that a 0.20kg is oscillating at the end of Spring upon a frictionless horizontal surface....

    Suppose that a 0.20kg is oscillating at the end of Spring upon a frictionless horizontal surface. The Spring can be both stretched and compressed and has a Spring constant of 240N/m. It originally stretched a distance of 12 cm from its equilibrium. What is the maximum velocity max that the mass will reach in its oscillation?

  • An object with mass 4.0 kg is sliding on a horizontal, frictionless surface at speed 11.5...

    An object with mass 4.0 kg is sliding on a horizontal, frictionless surface at speed 11.5 m/s. This object is moving in the positive x-direction. A second object, having mass 5.55 kg, is sliding on the same surface at speed 15.5 m/s. The second object is moving in a direction 75 degrees counterclockwise from the positive x-direction. If the objects stick after impact how fast would it move?

  • A mass m = 2.35 kg is at the end of a horizontal spring on a frictionless horizontal surface

    A mass m = 2.35 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 2.5 cm and a frequency f = 1.55 Hz. Part (a) Write an equation for the spring constant kPart (b) Calculate the spring constant k, in Newtons per meter Part (c) Write an equation for the total mechanical energy, E. of the motion. Your expression should be in terms of the variables in the...

  • A spring of mass of 5 kg is resting on a frictionless horizontal surface and is...

    A spring of mass of 5 kg is resting on a frictionless horizontal surface and is pressed against a spring with a spring constant of 500 N/m, compressing the spring 25 cm and then released. Draw a picture, label the variables, and label applicable equations to answer the following: (a) How fast will the spring be going at x = + .25 m?; (b) how fast will the spring be going at x = 0 m?; (c) at what position...

  • ​​​​​ A mass is connected to a spring and moving on a frictionless surface as in...

    ​​​​​ A mass is connected to a spring and moving on a frictionless surface as in the picture below: Assume that the spring is massless and has a spring constant value of 300[N/m]. Assume that the mass is 3 [kg]. Assume that the spring starts at equilibrium (y=0) while moving to the right at speed v. Assume that it reaches a maximum displacement of 5 cm. Write an expression for the velocity of the mass versus time. The only variables...

  • Suppose a 200-g mass (0.20kg) is oscillating at the end of the spring upon a frictionless...

    Suppose a 200-g mass (0.20kg) is oscillating at the end of the spring upon a frictionless horizontal surface. the spring can be both stretch and compassed and has a spring constant of 240 N/ m. It was originally stretched a distance of 12cm from its equilibrium. what is its initial potential energy PE max? show calculation

  • A 0.81-kg mass is attached to the end of a spring and set into oscillation on...

    A 0.81-kg mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a compressed position. The record of time is started when the oscillating mass passes through the equilibrium position and the position of the mass at any time is shown in the drawing, x (m) 0.10 --- 04 16.0 -0.10 - - - - - - Determine the following. (a) amplitude A of the motion (b) angular...

  • 5. (3 points) A mass m 300g lies on a frictionless horizontal surface and is attached...

    5. (3 points) A mass m 300g lies on a frictionless horizontal surface and is attached to a horizontal spring with a spring constant k 3 Nm. A coordinate system is given such that the r axis is parallel to the motion of the mass under the action of the spring, and the origin is located at the un-stretched position of the spring. The position of the mass is given by: r(t)-A cos(wt + φ) At time t = 2...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT