Explain simple pendulum, Physics

Assignment Help:

Explain Simple Pendulum

The most familiar example of a pendulum is a person on a swing.  The person will swing back and forth if pushed or pulled from where the swing naturally hangs (its equilibrium position). The distance and force along the path of the swing are:

1837_Simple Pendulum.png

θ = ω t
ω = 2Π / T
d = Lsin ω t
F = m g sin θ = m at = m ω2 L sin ωt

When θ is a small angle, it is approximately equal to sin θ, and the pendulum follows simple harmonic motion. This gives a relationship between T (period in seconds) and L (length of the pendulum in meters) and g (acceleration due to gravity, 9.8 m/s2 ).

T = 2Π (L/g) ½

The most interesting aspect of this relationship is that  it does not depend on m, the mass of the pendulum!! 
The only way to change the period of a swing is to change its length or ship it to a different planet having a different value for g.

 


Related Discussions:- Explain simple pendulum

At what upward acceleration will the string break, A 10.0-kg object is held...

A 10.0-kg object is held up by a string that will break when the tension exceeds 1.00 x 10 2 N. At what upward acceleration will the string break?

Determine the final temperature of the system, A beaker of water sits in th...

A beaker of water sits in the sun until it reaches an equilibrium temperature of 30°C. The beaker is made of 100 g of aluminum and contains 170 g of water. In an attempt to cool th

Find the minimum wavelength of a bremsstrahlung photon, a. Consider an x-ra...

a. Consider an x-ray machine with a step-up transformer consisting of a primary coil of 100 turns and a secondary one with 50000 turns. If the voltage applied across the primary co

Ultrasonics, Industrial applications of ultrasonics

Industrial applications of ultrasonics

Analog electronics, current gam relashionship betweem alpha and betta

current gam relashionship betweem alpha and betta

Zener diode, maximum 20 mA current can flow through a zener diode.if zener ...

maximum 20 mA current can flow through a zener diode.if zener voltage 6V how much resistance will have to be applied in series with the zener diode for 9V supply? calculate load cu

Experiment on thermo electric thermometers, what are some advantages of th...

what are some advantages of the thermo-electric thermometer over the mercury in glass thermometer?

Measurement of wavelength of monochromatic light, Q. Measurement of Wavelen...

Q. Measurement of Wavelength of Monochromatic Light? Monochromatic Light is allowed to fall on plate G 1 . The M.I. is adjusted for circular fringes. For this mirror M 1 is ma

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd