onie mti said:I am working on this problem, they say if moments and products of inertia are computed with respect to the center of mass, the
H(c)= -I(yz)ŵe(y) - I(xz)ŵe(x) + I(z)ŵe(z) how can I prove this?
Translation and rotation are two fundamental concepts in geometry and physics. Translation is the movement of an object from one location to another without changing its orientation, while rotation is the movement of an object around a fixed point or axis.
The main difference between translation and rotation is the type of movement. Translation involves a straight-line movement, while rotation involves a circular movement around a fixed point or axis. Additionally, translation does not change an object's orientation, while rotation does.
Examples of translation include a car moving along a straight road, a person walking in a straight line, or a train traveling on a straight track. Examples of rotation include the Earth rotating around its axis, a spinning top, or a Ferris wheel moving around a central point.
Translation and rotation are related through the concept of transformation. A transformation is a change in the position, size, or orientation of an object. Translation and rotation are two types of transformations that can be applied to an object.
Translation and rotation are essential in many scientific and technological applications. For example, translation is used in navigation systems to determine the position of an object, while rotation is used in robotics to control the movement of machines. Both concepts are also crucial in understanding the motion of objects in physics and engineering.