Moments and Center of Mass 5 - Rod of Nonuniform Density

Calculus: We derive the formula for the mass, moment about zero, and center of mass for a rod of nonuniform density rho(x). Examples are the rod from x=0 to x=L when rho(x) is constant and when rho(x) = x.

[MathDoctorBob]

You're welcome, and thanks for the kind words! Aside from the ego thing, positive feedback is key to convincing the powers that be that projects like these are effective and worth investing in.

[timothywood]

Ahh damn I had a complete brainfart and forgot how to find CoM of non-uniform rods. Thanks for this you beautiful man, saved me a lot of unnecessary head-scratching.

[tinieblas]

Thank you so much, this really cleared things up for me!

[MathDoctorBob]

You're welcome, but not even close! Glad to be of help.

[teowhyte]

can u tell me please describe an experiment to determinthe density of an cyclingical rod i need it nw please help me

[MathDoctorBob]

You just did. Thanks and good luck with classes!

[CnnorB]

This helped me so much, really well done. Thank you

[MathDoctorBob]

You're welcome! I've definitely forgotten worse.

[Aznwarlord]

wait the moment of inertia is supposed to be in Mass*distance^2. L^3 is not a valid moment of inertia...