So I've already found/ was given the radius, hanging mass, and acceleration for three objects but I need to find the moment of inertia using all those three. What equation do I use or how do I incorporate all of them to find the moment of inertia?
If they are spinning about the same axis, add them.
Add the accel+radius+ mass? I was a little unclear I need the moment of inertia for each individual object. Does what you said still apply?
Goodness. If they are spinning about the same axis, add the three moments of inertia to get the total moment of inertia.
Now each one individually,
torque=momentinertia*acceleration
force*distance=momentinertia*acceleration
solve for moment of inertia.
I am a little confused what you are given. If the object is hanging, and weight is the force, remember you have to factor in the angle between the force and the motion. See https://wiki.brown.edu/confluence/display/PhysicsLabs/LAB+6+-+OSCILLATORY+MOTION
To find the moment of inertia, you need to know the mass distribution of an object and how it is rotating. The moment of inertia depends on both the mass and shape of the object.
In the case of a simple rotating object like a disk or hoop, the moment of inertia can be calculated using the equation:
I = 1/2 * m * r^2
where I is the moment of inertia, m is the mass of the object, and r is the radius. However, in your case, you mentioned that you have the hanging mass and acceleration involved as well. It seems that you are dealing with a more complex system or a situation where additional factors come into play.
To incorporate the hanging mass and acceleration into calculating the moment of inertia, we need to know more specifics about your system or the context of the problem you're trying to solve. The information you provided (radius, hanging mass, and acceleration) alone is not sufficient to determine the moment of inertia.
It's possible that the hanging mass and acceleration might be related to the torque acting on the object, which is also a factor in calculating the moment of inertia. Torque is the rotational equivalent of force, and it can affect the rotation of an object. However, without more details, it would be difficult to provide a specific equation or method to determine the moment of inertia using the given information.
To proceed further, please provide additional details about your system or the specific problem you are trying to solve.