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mrojc
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I think you're on the right track, but you should be careful about your moment of inertia expressions. Be sure to carefully account for the displacement distance in the parallel axis theorem for each case.mrojc said:@gneill Hi, thanks for the diagram, that's the picture I had in my head. Am I on the right track with my equations or is there something I'm forgetting about?
The R in your formula is the distance from the center of mass of the physical pendulum to the pivot point. See:mrojc said:Ok, just want to double check something: for R in the period equation, is that L/2? Or do I have to include the radius of the spheres in that R too? Thanks for all your help so far by the way, really appreciate it! :)
I'm not sure how you're coming up with a value for the moment of inertia alone, since the sphere mass was not specified. The mass cancels out eventually in the period formula though.mrojc said:I seem to be making a mess of things I'm inputting 0.125 m for the moment of inertia of the pendulum and 0.05 m for the spheres, and I am not getting the answers out. I'm definitely doing something really stupid and I'll be so annoyed when I figure out what it is!
The period of small oscillations for a pendulum is the time it takes for the pendulum to complete one full swing from side to side. It is determined by the length of the pendulum and the acceleration due to gravity.
The period of small oscillations for a pendulum is affected by the length of the pendulum, the mass of the pendulum bob, and the acceleration due to gravity. Other factors such as air resistance and friction may also have a small impact.
No, the period of small oscillations for a pendulum may vary slightly depending on the location on Earth. This is due to variations in the acceleration due to gravity caused by differences in altitude and latitude.
Yes, the period of small oscillations for a pendulum can be changed by altering the length of the pendulum or the mass of the pendulum bob. The period can also be affected by changing the acceleration due to gravity, which can be achieved by changing the location of the pendulum.
The period of small oscillations for a pendulum can be calculated using the formula T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. This formula assumes small oscillations and no air resistance or friction.