Centroids and Centers of Gravity; Moments of Inertia

Submitted by Rafael Christi… on

Modified True or False:
1. The intersection of the vertical lines at various single support and orientation of a rigid body may approximate the center of gravity of the body.
2. The vertical and horizontal coordinates of the intersection at any reference frame is the centroid of the body.
3. It is assumed that the body is laminar and non-homogenous to determine the centroid.

differential equation: Determine whether a member of the family can be found that satisfies the initial conditions

Submitted by Dutsky Kamdon on

The given two-parameter family is a solution of the indicated differential equation on the
interval (−∞,∞). Determine whether a member of the family can be found that satisfies the
initial conditions.
y = c1e^x cos x + c2e^x sin x; y" − 2y' + 2y = 0,
i. y(0) = 1, y'(π) = 0
ii. y(0) = 1, y(π) = −1