Waste less time on Facebook — follow Brilliant.
×

Moment of Inertia

A sewer pipe rolls more slowly down an incline than a bowling ball with the same mass. Understand this and more by learning about Moment of Inertia, a measure of how compact objects are.

Center of Mass - Distributions

         

A bar with length \(60\text{ cm}\) has linear density \(\lambda=6x+12,\) where \(x\) is in meters and \(\lambda\) is in \(\text{kg/m}.\) What is the center of mass of this bar?

A rod of length \(5\text{ m}\) has density \(\lambda(x)=3+x^2\text{ kg/m},\) and is positioned along the \(x\)-axis with left endpoint at \(x=0.\) What is the center of mass of the rod?

Find the center of mass of a semicircular plate of radius \(4\) with uniform density.

Find the center of mass of the region bounded by the line \(y=4x\) and the parabola \(y=4x^2.\)

What is the center of mass of the region bounded by the curves \[\begin{array} &y=\cos 7x, &y=0, &x=0, &x=\pi/14\end{array},\] given that the mass has uniform density?

×

Problem Loading...

Note Loading...

Set Loading...