Question

Q4. Explain the concept of kinematic coefficients? Why do we need to “square” and “cube” the angular velocities, in order to obtain time derivatives using the second order and third order kinematic coefficients, respectively?

Answer 1

kinematic coefficients are applied to find the velocity and acceleration analysis of mechanisms. Kinematic coefficients are also used to find the limit positions and decad positions of the mechanism.

methods like vector loop are difficult to analyze for complex mechanisms. So Kinetic coefficient methods are introduced.

The kinematic coefficients are limited to the planar mechanism with one degree of freedom. These mechanisms in which there are n scalar position equations in n+1 unknown variables in a mechanism. One of them will be the input variable, denoted as S_i and remaining n unknown variables will be unknown variables. The term kinematic coefficient is used for the time derivative of an output variable S_k with respect to input variable S_i . The first order and second order time derivative equations of a given mechaism involves the square and cube terms.