Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com.

One way of implementing a rotation about an arbitrary axis through the origin is to combine rotations about the z, y, and x axes. From what we noticed above, Rxyz is an orthogonal …

Rotations and Orientation Position and Orientation The position of an object can be represented as a translation of the object from the origin The orientation of an object can be represented as …

The initial opposite signs of angular velocity and angular acceleration means that the wheel slows in its rotation in the negative direction, stops, and then reverses to rotate in the positive direction.

Euler’s theorem Any displacement of a rigid body such that a pointon the rigid body remains fixed, is equivalent to a single rotation about some axis that runs through the fixed point.

Rotational kinematics is extremely similar to linear kinematics. In fact, we can use the old equation and change the names of the variables. We are going to focus on unit conversions and …

The resulting rotation will be double the amount of the angle formed by the intersecting lines. Rotations are isometric, and do not preserve orientation unless the rotation is 360o or exhibit …