An object's center of mass is . Select all that apply. An object's center of mass is . Select all that apply. the point about which the net torque is zero the point about which an unconstrained rotation occurs the geometric center of the object the mass-weighted center of the object the point about which the angular momentum is zero Previous AnswersRequest Answer Incorrect; Try Again; 7 attempts remaining

The correct option is

the point about which an unconstrained rotation occurs

Explanation:

The CENTER OF MASS is the average position of the different parts of the the object system which are weighted base on their masses

the point about which an unconstrained rotation occurs

the mass-weighted center of the object

Explanation:

The center of mass of an object can be described to be a a position that is defined relative to the object

The center of mass is the average position of every parts of the object. At this point we can assume that all of the mass of this object is concentrated

When weighted according to their masses, the center of mass is the average position of all the parts of the object. While other points in this object are rotating around it, the center of mass would not rotate (fixed).

So the correct options are:

1. the point about which an unconstrained rotation occurs

2. the mass-weighted center of the object

think about the oscillation of the toy shown in the video. when the toy is at the highest point of its motion, its velocity is zero and its acceleration is negative.