Centroids and Centers of Gravity; Moments of Inertia

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.

Physics

Patulong naman po :D

A non-uniform bar weighs 400 N and is 4 m long. When it is supported by an fulcrum at its midpoint, a load of 80 N must be supplied at the smaller end to hold the bar in a horizontal position. Where is the center of gravity?

Physics

Please pahelp po :)
A mass of 20kg is projected up an inclined of 26 degrees with a velocity of 4 m/s. If the coefficient of friction is 0.2, find i) the maximum distance that the package will move along the plane. and ii) what will be the velocity of the package when it comes back to initial position.