Question

Two separate masses on two separate springs undergo simple harmonic motion indefinitely (the surface is frictionless). In CASE 1, the spring constant is k, the mass is 2m, and the spring oscillates with amplitude d. In CASE 2, the spring constant is 2k, the mass is 2m, and the spring oscillates with amplitude 2d. CASE 2: CASE 1 2k 2m 2m 2d 1) Compare the maximum force on the mass in each case: O F1=F2 O F1> F2 OF1< F2 Submit 2) Compare the maximum acceleration of the mass in each case: O a1=a2 a a2 a1 a2 Submit

3) Compare the total mechanical energy (potential energy plus kinetic energy) of the mass-spring system in each case: O TE1 - TE2 O TE1 TE2 Submit 4) Compare the maximum velocity of the mass in each case: Vi V^ Submit 5) Compare the period of oscillation of the mass in each case: O T1 -T2 O T1> T2 O T1 < T2 Submit

Two separate masses on two separate springs undergo simple harmonic motion indefinitely (the surface is frictionless). In CASE 1, the spring constant is k, the mass is 2m, and the spring oscillates with amplitude d. In CASE 2, the spring constant is 2k, the mass is 2m, and the spring oscillates with amplitude 2d. 

 1) Compare the maximum force on the mass in each case: 

2) Compare the maximum acceleration of the mass in each case: 

3) Compare the total mechanical energy (potential energy plus kinetic energy) of the mass-spring system in each case: 

4) Compare the maximum velocity of the mass in each case: 

5) Compare the period of oscillation of the mass in each case:

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

Add a comment
Know the answer?
Add Answer to:
Two separate masses on two separate springs undergo simple harmonic motion indefinitely (the surface is frictionless)....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • Energy in simple harmonic motion A 2.90 kg object oscillates with simple harmonic motion on a...

    Energy in simple harmonic motion A 2.90 kg object oscillates with simple harmonic motion on a spring of force constant 600 N/m. The maximum speed is 0.800 m/s. A) What is the total energy of the object and the spring? B) What is the maximum amplitude of the oscillation?

  • Objects of equal mass are oscillating up and down in simple harmonic motion on two different...

    Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 150 N/m. The motion of the object on spring 1 has twice the amplitude as the motion of the object on spring 2. The magnitude of the maximum velocity is the same in each case. Find the spring constant of spring 2.

  • Homework: Simple Harmonic Motion Name: 1. A 4.5-kg block is hung from a spring causing the...

    Homework: Simple Harmonic Motion Name: 1. A 4.5-kg block is hung from a spring causing the spring to elongate 12 cm. (a) What is the spring constant for this spring? (b) If the spring was stretched 18 cm and released, what will be the period of oscillation? 2. What mass on a spring with a spring constant of 160 N/m will oscillate with a period of 2.0 s? 3. A mass of 240 g oscillates on a spring on a...

  • ically. Which of the following would AP Physics I-Simple Harmonic Motion 1. A mass is attached...

    ically. Which of the following would AP Physics I-Simple Harmonic Motion 1. A mass is attached to a spring and allowed to oscillate vertically. Which of the follow NOT change the period of the oscillation? a. Double the mass and double the spring constant b. Double the amplitude of vibration and double the mass c. Double the gravitational field strength and double the mass d. Double the gravitational field strength and double the spring constant e. Double the gravitational field...

  • 1) A 12.3 kg particle is undergoing simple harmonic motion with an amplitude of 1.86 mm....

    1) A 12.3 kg particle is undergoing simple harmonic motion with an amplitude of 1.86 mm. The maximum acceleration experienced by the particle is 7.93 km/s2. (a) Find the period of the motion. (b) What is the maximum speed of the particle? (c) Calculate the total mechanical energy of this simple harmonic oscillator. 2) The orbit of the Moon around the Earth as projected along a diameter can be viewed as simple harmonic motion. Calculate the effective force constant k...

  • A 456 g mass oscillates with an amplitude of 12.8 cm in simple harmonic oscillation connected...

    A 456 g mass oscillates with an amplitude of 12.8 cm in simple harmonic oscillation connected to a spring of spring constant k . The system is known to have a maximum velocity of 0.575 m/s as it oscillates back and forth. What is the spring constant of the oscillation? What is the period of the oscillation? What is the total energy of the system?

  • 15) In an electric shaver, the blade moves back and forth over a stance of 2.0 mm in simple harmo...

    15) In an electric shaver, the blade moves back and forth over a stance of 2.0 mm in simple harmonic motion, with frequency 100 Hz. Find (a) the amplitude, (b) the maximum blade speed, and (c) the magnitude of the maximum blade acceleration. 20 An oscillating block-spring system has a mechanical energy of 2.00 J, an amplitude of 10.0 cm, and a maximum speed of 0.800 m/s. Find (a) the spring constant, (b) the mass of the block, and (c)...

  • Physics Simple Harmonic Motion Problem A 100 g block attatched to a spring with constant 2.5...

    Physics Simple Harmonic Motion Problem A 100 g block attatched to a spring with constant 2.5 N/m oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x = -5.0cm. a. What is the amplitude of oscillation? b. What is the block's maximum acceleration? c. What is the block's position when the acceleration is maximum? d. What is the speed of the block when x=3.0 cm?

  • A spring-mass system is in simple harmonic motion. How do the period, maximum speed, frequency, and...

    A spring-mass system is in simple harmonic motion. How do the period, maximum speed, frequency, and total mechanical energy of the oscillator change after each of the following alterations (up, down or no change): a) Spring constant (k) is increased? b) Amplitude id increased? c) Mass is decreased?

  • A hockey puck oscillates on a frictionless, horizontal track while attached to a horizontal spring. The...

    A hockey puck oscillates on a frictionless, horizontal track while attached to a horizontal spring. The puck has mass 0.160 kg and the spring has force constant 8.00 N/m. The maximum speed of the puck during its oscillation is 0.350 m/s. What is the amplitude of the oscillation? What is the total mechanical energy of the oscillation? What is the potential energy of the puck when the displacement of the glider is 0.0300 m? What is the kinetic energy of...

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