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Effect on Time Period of a Simple Pendulum

“The bob of a simple pendulam is of iron.If a small magnet is placed just under the bob,then how the time period will be affected?”

Question Posted by Riya Mondal

The time period will decrease as the attraction of magnet increases the net downward pull (adding to g in the equation )

(It was a quick answer; Visitors are requested to respond)

Equilibrium

Shubham Mukherjee asks:

“A ball suspended by a thread swings in a vertical plane so that its acceleration values in the extreme and lowest position are equal. Find the thread deflection angel in the extreme position?”

Answer will take some time. Visitors are requested to respond

What is Simple Harmonic Motion?

Anil asked:

“What is Simple Harmonic Motion?”

Answer:

Please refer to the following Links for answer. (Please note that I prefer  the blunt questions arising out of natural curiosity)

http://en.wikipedia.org/wiki/Simple_harmonic_motion

http://www.splung.com/content/sid/2/page/shm


Pendulum on Mount Everest !

Michelle Guzman Asked:

If you set a pendulum atop Mt. Everest, would the period be less than, greater than or equal to the period you would get in the lab?  Explain.

Ans:

As you know, the acceleration due to gravity decreases as we go upwards from surface of earth.

The time period of a simple pendulum is given by

Where l is the length of the pendulum, and g is the acceleration due to gravity.

From the equation, we can conclude that, the Time period of the pendulum increases (i.e. it goes slower)  if the pendulum is set up on top of Mount Everest.

For Creative and Critical Thinkers

Here we have not considered the change in temperature between the laboratory conditions and the temperature on top of Mount Everest which is very low. A decrease in temperature would decrease the length of the pendulum (Unless it is made up of such a substance which does not change its length with change in  temperature) and will also decrease the time period of the pendulum, making it move faster.

My first answer is correct only if the laboratory conditions are the same as on top of Mt. Everest or vice versa, except for the difference in altitude (height)

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