Web Results

We will use something called the Parallel Axis Theorem to adjust the moments of inertia so that they are all taken about some standard point. Once the moments of inertia are adjusted with the Parallel Axis Theorem, then we can add them together using the method of composite parts. The Parallel Axis Theorem

www.softschools.com/formulas/physics/parallel_axis_theorem_formula/346

Parallel Axis Theorem Formula Questions: 1) A solid sphere with mass 60.0 kg and radius 0.150 m has a moment of inertia for rotation through its central axis. What will be the moment of inertia of the sphere, if the rotation axis is changed to pass through a point on its surface?

The parallel axis theorem states that the moment of inertia (MOI) around any axis (which would be your door hinge axis in your case) can be found by taking the MOI around a parallel axis that goes through the center of mass (CM) of the body (and then add the term you have written as MD 2). In calculating I CM the equation you used indicates that you have chosen an axis of rotation that is ...

en.wikipedia.org/wiki/Parallel_axis_theorem

The parallel axis theorem, also known as Huygens–Steiner theorem, or just as Steiner's theorem, named after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of gravity and the perpendicular distance be...

This is very important, because it leads to the start of the parallel axis theorem. OK, first an example without using the P-A Theorem. Picture a rectangle 20 feet long and 5 ft wide. now we are asked to find the inertia about the x and y axis. The x axis is located at 10 ft high and 2.5 feet wide. recall that the inertia of a rectangle is (1 ...

Or, if you don't like calculus, like most people, you could use the parallel axis theorem. The parallel axis theorem states that the moment of inertia of an object around a particular axis is ...