Question

A mass m is attached to a spring of stiffness k such that it can undergo...

A mass m is attached to a spring of stiffness k such that it can undergo simple harmonic oscillation on a frictionless horizontal surface. Using Newton’s second law and a proposed solution to it in this case of : x(t) = Asin(Tt), (where T = 2Bf), derive the formula that gives the period, T, of the oscillation of the mass. (name the system as well PLUS A DIAGRAM thank you) P.S please show all steps.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A mass m is attached to a spring of stiffness k such that it can undergo...
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
  • A mass of 0.12 kg is attached to a spring and set into oscillation on a...

    A mass of 0.12 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.22 m)cos[(14 rad/s)t]. Determine the following. Figured out all parts except: (e) time it takes the mass to get to the position x = −0.10 m after it has been released

  • A mass of 0.200kg is attached to a spring of length 0.500m and is placed on...

    A mass of 0.200kg is attached to a spring of length 0.500m and is placed on a horizontal frictionless surface. The mass is then pulled so that the spring now stretches to a total length of 0.550m. The mass is then given an initial speed of 5.00 m/s and the mass undergoes simple harmonic motion with a period of 0.200s. Find the spring constant (k) of the spring. Find the amplitude oscillation of the mass. Find the speed of the...

  • A mass of 0.24 kg is attached to a spring and set into oscillation on a...

    A mass of 0.24 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by 7. x()(0.46 m)cos (12 rad/s)r]. Determine the following. (a) Amplirude of oscillation for the oscillating mass. (b) Period of the oscillation for the oscillating mass. 523 (c) Force constant (spring constant) for the spring. (d) Position of the mass after it has been oscillating for one half a period. 1.Gon NG...

  • A spring of spring constant k=261 N/m is attached to a block of mass 1.38 kg...

    A spring of spring constant k=261 N/m is attached to a block of mass 1.38 kg and stretched horizontally to a position 15.0 cm from the springs equilibrium position. The spring and mass are released and oscillate in simple harmonic motion across a frictionless horizontal surface. What is the maximum speed obtained by the mass? m/s

  • A mass of 0.28 kg is attached to a spring and set into oscillation on a...

    A mass of 0.28 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.34 m) cos((20 rad/st]. Determine the following (a) amplitude of oscillation for the oscillating mass (b) force constant for the spring N/m (c) position of the mass after it has been oscillating for one half a period (d) position of the mass one-third of a period after it has...

  • A mass of 0.38 kg is attached to a spring and set into oscillation on a...

    A mass of 0.38 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.20 m)cos((10 rad/st]. Determine the following. (a) amplitude of oscillation for the oscillating mass 0.20 (b) force constant for the spring 38 ✔ N/m (c) position of the mass after it has been oscillating for one half a period -20 m (d) position of the mass one-third of a...

  • A 2 kg mass is attached to a spring and placed on a frictionless horizontal surface....

    A 2 kg mass is attached to a spring and placed on a frictionless horizontal surface. A horizontal force of 20N is required to hold the mass at rest when it is displaced a distance x = 0.2m from the equilibrium position. The mass is released and allowed to undergo simple harmonic motion. a) Find the force constant k of the spring. b) Find the maximum speed of the mass. c) Find the speed of the mass when x =...

  • Figure shows a solid cylinder of mass M=0.45 kg attached to a horizontal spring (k =...

    Figure shows a solid cylinder of mass M=0.45 kg attached to a horizontal spring (k = 5.00 N/m) just slides on a frictionless surface. roooooo by 0.32 m, the cylinder's center of mass (COM) executes simple harmonic 1. Obtain the equation for the time period of the oscillation using Newton's second law of motion. The 2. Calculate the speed of the COM when it passes through the equilibrium. Show your work. (3 points) 3. If instead the surface is rough,...

  • a mass of 0.5 kg is attached to a spring and set into oscillation on a...

    a mass of 0.5 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. the simple harmonic motion of the mass is described by x(t)= (0.5m)cos[(18 rad/s) t]. Determine the following: a. position of the mass after it has been oscillating for one half a period b. position of the mass one-third of a period after it has been released c. the time it takes to get to the position x= -0.1m after it has...

  • a) A block with mass m is attached to a horizontal spring with spring constant k....

    a) A block with mass m is attached to a horizontal spring with spring constant k. The block is at rest on a frictionless surface. A bullet with mass Mbul is fired horizontally with speed vbul into the block, in the face opposite the spring, and sticks to the block. mün m Wbul Are you able to determine the bullet's speed by measuring the oscillation frequency of the system of block and bullet? If so, how If not, why not?

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
ADVERTISEMENT