Question

The amplitude of a pendulum goes from 32 degrees from vertical to 24 degrees from vertical...

The amplitude of a pendulum goes from 32 degrees from vertical to 24 degrees from vertical over the course of 20 seconds. Its gradual loss of energy may be adequately modeled as damped SHM. After another 40 seconds, what is the amplitude of the pendulum?

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

0=0 24 = 32 e bx20 now afton another 40 sec means al = 40+20= 60 sec. 0= do esta 0=32 e ble 0 = 32 (e ) 0=32 33 0 - 32 × 27 3

Add a comment
Know the answer?
Add Answer to:
The amplitude of a pendulum goes from 32 degrees from vertical to 24 degrees from vertical...
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
  • An ideal pendulum oscillates with angular amplitude of 30degree from the vertical. If it is observed...

    An ideal pendulum oscillates with angular amplitude of 30degree from the vertical. If it is observed at a random instant of time, its angular deviation from the vertical is most likely to be?

  • (10 points) Suppose a pendulum with length L (meters) has angle (radians) from the vertical. It...

    (10 points) Suppose a pendulum with length L (meters) has angle (radians) from the vertical. It can be shown that e as a function of time satisfies the differential equation: de 8 + -sin 0 = 0 dt2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of we can use the approximation sin(0) - 0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum...

  • (1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as...

    (1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 + -sin 0 = 0 dt2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0) ~ 0, and with that substitution, the differential equation becomes linear A. Determine the equation of motion of a...

  • (radians) from the vertical. It can be shown that as a function of time satisfies the...

    (radians) from the vertical. It can be shown that as a function of time satisfies the (1 point) Suppose a pendulum with length L (meters) has angle differential equation: d20 + & sin 0 = 0 dt 2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of we can use the approximation sin() ~ 0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum...

  • Previous Problem List Next 11 point) Suppose a pendulum with length Limeters) has angle iradians) from...

    Previous Problem List Next 11 point) Suppose a pendulum with length Limeters) has angle iradians) from the vertical. It can be shown that as a function of time satisfies the differential equation: do sin = 0 de? Z . and with that substitution, the differential where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of we can use the approximation sin(0) - equation becomes Inear A. Determine the equation of motion of a pendulum with...

  • A simple pendulum bob with mass 16 kg is hung from the ceiling in an atrium...

    A simple pendulum bob with mass 16 kg is hung from the ceiling in an atrium of a building. It is pulled aside 4.8 degrees and swings with a period of 7.0 seconds. What is a) the bob’s total energy, and b) its maximum velocity?

  • Damped SHM motion A mass M is suspended from a spring and oscillates with a period...

    Damped SHM motion A mass M is suspended from a spring and oscillates with a period of 0.840 s. Each complete oscillation results in an amplitude reduction of a factor of 0.965 due to a small velocity dependent frictional effect. Calculate the time it takes for the total energy of the oscillator to decrease to 69% of its initial value. The amplitude after N oscillations- (initial amplitude) x(damping factor)N Submit wIncorrect. Tries 2/6 Previous Tries 1998-2018 by Florida State University....

  • show all steps please (1 point) Suppose a pendulum with length L (meters) has angle 0...

    show all steps please (1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 +sin0 0 dt2 where g 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0)~0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum with length...

  • 20) - 24) Diffusion is a process by which a substance A) goes down its concentration...

    20) - 24) Diffusion is a process by which a substance A) goes down its concentration gradient. B) goes from lesser to greater concentration C) goes up its concentration gradient D) is at equilibrium 25 25) What product(s) do plants produce during photosynthesis that is/are used by humans and other animals? A) glucose B) carbon dioxide C) oxygen D) glucose and oxygen 26) The term that describes the diffusion of water is A) simple diffusion. B) equilibrium C) facilitated diffusion...

  • 5. A mass of 225 g is suspended from a vertical spring. It is then pulled...

    5. A mass of 225 g is suspended from a vertical spring. It is then pulled down 15 cm and released. The mass completes 10 oscillations in a time of 32 seconds. What is the force constant for the spring? 6. A block of unknown mass is attached to a spring with a force constant of 6.50 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the...

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