Question

A 290-g mass is attached to a spring. Its natural angular frequency is 69 rad/s, and...

A 290-g mass is attached to a spring. Its natural angular frequency is 69 rad/s, and it is in a damping medium. At what angular frequency should it be driven so its speed is a maximum? Answer in rad/s.

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

The maximum speed is achieved by the mass, when its amplitude is maximum, which is possible at resonance, i.e. When the driven frequency equals the natural frequency.

Answer : 69 rad per sec

Add a comment
Know the answer?
Add Answer to:
A 290-g mass is attached to a spring. Its natural angular frequency is 69 rad/s, and...
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 220 g mass attached to a horizontal spring oscillates at a frequency of 2.50 Hz....

    A 220 g mass attached to a horizontal spring oscillates at a frequency of 2.50 Hz. At t =0s, the mass is at x= 4.60 cm and has Vx =− 32.0 cm/s . Determine: I got the first 4 part answer, Period = 0.4 s, Amplitude = 5.03 x 10-2m, Angular frequency = 15.7 rad/s, Phase Constant = 0.417 rad Questions: 1) The maximum speed. 2) The maximum acceleration. 3) The total energy. 4) The position at t = 0.4s

  • A mass on a spring has an angular oscillation frequency of 2.81 rad/s. The mass has...

    A mass on a spring has an angular oscillation frequency of 2.81 rad/s. The mass has a maximum displacement (when t = 0 s) of 0.232 m. If the spring constant is 29.8 N/m, what is the potential energy stored in the mass-spring system when t = 1.42 s? I know the answer is .350J but not sure how to get there

  • A mass on a spring has an angular oscillation frequency of 2.81 rad/s. The mass has...

    A mass on a spring has an angular oscillation frequency of 2.81 rad/s. The mass has a maximum displacement (when t = 0 s) of 0.232 m. If the spring constant is 25 N/m, what is the potential energy stored in the mass-spring system when t = 1.42 s? How long will it take the mass to pass through the equilibrium position for the 7th time?

  • 4 A 175 g mass attached to a horizontal spring oscillates at a frequency of 2.80...

    4 A 175 g mass attached to a horizontal spring oscillates at a frequency of 2.80 Hz. At t-0 s, the mass is at x-5.40 cm and has v -34.0 cm/s. Determine: The period, angular frequency (w), amplitude, phase constant, maximum speed, maximum acceleration, and total energy

  • One end of a light spring with force constant 290 N/m is attached to a vertical...

    One end of a light spring with force constant 290 N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. As shown in the following figure, the string changes from horizontal to vertical as it passes over a solid pulley of mass Mi the shape of a solid disk of radius R = 1.50 cm. The pulley is free to turn on a fixed smooth axle. The vertical section of...

  • When a 200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10...

    When a 200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system: (a) The angular frequency (rad/sec) b) Th Period of the oscilation (sec) c) The frequency (Hz) d) The maximum speed (m/s) (e) Maximum acceleration (m/s2)

  • When a  200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm...

    When a  200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion.  Find the quantities below for this oscillating system (a) The angular frequency (rad/sec) (b) Th Period of the oscilation (sec) (c) The frequency (Hz) (d) The maximum speed (m/s) (e) Maximum acceleration (m/s2)

  • QUESTION 10 When a 200 g mass attached to a horizontal spring (k= 25 N/m) is...

    QUESTION 10 When a 200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system: (a) The angular frequency (rad/sec) QUESTION 11 When a 200 g mass attached to a horizontal spring (k-25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system. (b) Th...

  • A 250 g mass is attached to a horizontal spring and oscillates with a frequency of...

    A 250 g mass is attached to a horizontal spring and oscillates with a frequency of 2.1 Hz. At one instant the mass is at -4.3 cm and has a horizontal velocity of 25 cm/s. A. What is the spring constant? B. What is the total energy of the oscillator? C. What is the period of oscillation? D. What is the amplitude? E. What is the maximum speed?

  • A 250 g mass is attached to a horizontal spring and oscillates with a frequency of...

    A 250 g mass is attached to a horizontal spring and oscillates with a frequency of 2.1 Hz. At one instant the mass is at -4.3 cm and has a horizontal velocity of 25 cm/s. A. What is the spring constant? B. What is the total energy of the oscillator? C. What is the period of oscillation? D. What is the amplitude? E. What is the maximum speed?

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