Logo
Home Study Material Contact Search
AI Chat FREE
  1. sciences
  2. physics
  3. a pendulum has a length 1 m and a mass 1 kg. assum

A pendulum has a length 1 m and a mass 1 kg. Assume Earth free fall...

90.2K

Verified Solution

Question

Physics

A pendulum has a length 1 m and a mass 1 kg. Assume Earth freefall acceleration equal to 10 m/s^2. When the pendulum oscillates,the maximal deflection angle is +/- 1 degree.

a) How long will it take before the energy drops to half of theinitial value at t=0?

b) How long will it take before the max deflection angle dropsto half of the initial value at t=0?

c)

If the damping was produced by a force given by F = -v*k, wherev is the velocity and k is some friction coefficient, find k.

(Hint: derive the equation of motion for the pendulum includingfriction and compare to the textbook one describing the dampedharmonic oscillations.)

d)

Suppose you are aiming to excite a resonance of this pendulum bykicking it with a periodically modulated force at a frequency f.What should be f in Hz and approximately how accurately should yoube able to adjust f, i.e. f +/- how much?

(Hint: look up the expression for the amplitude of forcedvibration of a harmonic oscillator and see how it depends on thefrequency of the external force and the dambing constant.)

Answer & Explanation Solved by verified expert
3.9 Ratings (458 Votes)
A simple pendulum is one which can be considered to be a pointmass suspended from a string or rod of negligible mass For smallamplitudes the period of such a pendulum can be approximatedbyAngular frequency can be written asFor simple pendulum the displacement from the center can bewritten asSimilarly the angular displacementwill bePotential energy PE of simplependulum isKinetic energy KE of simplependulum isTotal energy    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Write the Verilog code for a 12-bit shift register with ability to shift left or right,...

Electrical Engineering
Q

Q1:A high voltage Schering Bridge has the following arms with their component ranges: AB: capacitor=100 pF...

Electrical Engineering
Q

9 A sheet of silver is illuminate by monochromatic ultraviolet radiations of wavelength 1810 What...

Physics
Q

Waves from two sources superpose on each other at a particular point amplitude and frequency...

Physics
Q

What criteria must an asset meet to be classified as current? Under what condition will...

Accounting
Q

12 Peanut Company acquired 100 percent of Snoopy Company's outstanding common stock for $300,000 on...

Accounting
Q

use the income statement and the list of ch anges to answer the question. Gulf...

Accounting
Q

V.A.1 - AP2 Navigation 23 415 6 7189 10 11 12 13 14 Finish attempt...

Accounting
Q

Below are a set of transactions, please create the appropriate journal entries, post the journal...

Accounting
Q

Why are internal threats a major challenge for organizations? How can internal threats be minimized?

Accounting
Q

En una conciliacin bancaria, los depsitos en trnsito deben ser: a. Deducido del saldo...

Accounting
Q

I believe i have already answered 1A correctly. ...

Accounting