Relatieve bewegingsanalyse met behulp van roterende assen - versnelling

Consider member AB undergoing linear motion and simultaneous rotation about point A. The velocity of point B is expressed as the sum of the velocity of point A and the relative velocity of point B in the rotating frame and the angular velocity effects caused by the rotating frame.

Differentiating with respect to time gives the acceleration of point B. The first term is the linear acceleration of point A measured from a fixed frame.

The second term is the cross product of the angular acceleration with the position vector r_BA.

The third term is the cross product of angular velocity and the rate of change of position vector r_BA. This term can be expanded using a distributive property of vector product.

The last term is the time derivative of angular velocity effects caused by the rotating frame of reference.

Here, the first two terms denotes the acceleration of point B in the rotating frame of reference. The last two terms can be simplified to get the final equation for the acceleration of point B.