How to Measure G with a Compound pendulum

AI Thread Summary
To measure acceleration due to gravity using a compound pendulum, one must understand that it involves a rigid body swinging from a pivot point, where the period depends on its moment of inertia. The formula T=2*Pi*sqrt(I/(m*g*L)) is used, where T is the period, I is the moment of inertia, m is the mass, g is the acceleration due to gravity, and L is the distance from the pivot to the center of mass. Key steps include measuring the period and mass, locating the center of mass, and determining the distance to the pivot. Calculating the moment of inertia can be complex, but it is essential for accurate results. The period T represents the time taken for one complete oscillation.
rossildosil
Messages
2
Reaction score
0
For my Advanced Higher Physics Investigation i am measuring acceleration due to gravity. Having already done it with a simple pendulum my teacher says i have to do the same with a "Compound Pendulum". I was wondering how to do this and also how to make a compound pendulum with a steel rod.

Many thanks Ross.
 
Physics news on Phys.org
A compound pendulum is one where the rod is not massless, and may have extended size; that is, an arbitrarily shaped rigid body swinging by a pivot. In this case the pendulum's period depends on its moment of inertia I around the pivot point.

T=2*Pi*Sqrt(I/(m*g*L)) where I is the moment of inertia of the rod and L is the distance from the pivot to the center of mass. Measure the period and mass. Locate center of mass and measure distance to pivot. Determining moment of inertia could be the tricky part.
 
Hi that's great. Sorry for the slow reply, but i need to clear something up. Is the T the time taken for one oscilation?

Thanks
 
T is the period or how long to complete one complete cycle
 
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Struggling to make relation between elastic force and height'
Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
Back
Top