Shortest period for a physical pendulum

In summary, the conversation discusses the relationship between the value of a and the shortest period of oscillation for a meter stick pivoted at point a from its center and swinging as a physical pendulum. The relevant equation, T = 2pi*Sqrt(I/mgh), is mentioned and it is stated that the shortest a should give the shortest period. The question is then posed as to why the answer is .3, with the hint to start by writing out the relevant equations.
  • #1
drunknfox
5
0

Homework Statement


meter stick pivoted at point a from its center and swings as a physical pendulum. At which values of a gives you the shortest period of oscillation...1m, .2m, .3m, .4m. .5m


Homework Equations


T = 2pi*Sqrt(I/mgh)


The Attempt at a Solution


the shortest a should give you the shortest period. The longer the distance = longer period but the answer is .3...why?
 
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  • #2
welcome to pf!

hi drunknfox! welcome to pf! :smile:

(have a square-root: √ :wink:)
drunknfox said:
the shortest a should give you the shortest period. The longer the distance = longer period but the answer is .3...why?

erm :redface:you tell us!

start by writing out the relevant equations :smile:
 

Related to Shortest period for a physical pendulum

What is a physical pendulum?

A physical pendulum is a rigid object that is able to pivot around a fixed point, known as the pivot point or axis of rotation. It is subject to gravitational forces and exhibits periodic motion.

What is the shortest period for a physical pendulum?

The shortest period for a physical pendulum is the fastest time it takes for the pendulum to complete one full swing. This shortest period is determined by the length and mass distribution of the pendulum.

What factors affect the shortest period of a physical pendulum?

The shortest period of a physical pendulum is affected by its length, mass, and distribution of mass. A shorter pendulum will have a shorter period, while a heavier pendulum or one with more mass concentrated towards the pivot point will have a longer period.

How is the shortest period of a physical pendulum calculated?

The shortest period of a physical pendulum can be calculated using the equation T= 2π√(I/mgd), where T is the period, I is the moment of inertia, m is the mass, g is the acceleration due to gravity, and d is the distance from the pivot point to the center of mass.

Can the shortest period of a physical pendulum be changed?

Yes, the shortest period of a physical pendulum can be changed by altering the length, mass, or mass distribution of the pendulum. It can also be affected by external factors such as air resistance or friction at the pivot point.

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