Theory of Machines: Unit I: Kinematics of Mechanisms

motion of a link

Kinematics of Mechanisms - Theory of Machines

Let a rigid link AB, rotate about a fixed point A with an uniform angular velocity o in the counter clockwise direction, as shown in Fig.2.3(a).

MOTION OF A LINK

Let a rigid link AB, rotate about a fixed point A with an uniform angular velocity o in the counter clockwise direction, as shown in Fig.2.3(a).


There is no relative motion between A and B, as the distance from A to B remains the same. It is thus obvious that the relative motion of B with respect to A must be perpendicular to AB.

Therefore velocity of any point on a link with respect to another point on the same link is always perpendicular to the line joining these points on the configuration diagram.

Fig.2.3(b) shows that the relative velocity of B with respect to A (vBA) is perpendicular to the link AB.

Let ω = Angular velocity of the link AB about A


From the equation (2.5), we can observe that the point c on ab divides it in the same ratio as C divides the link AB.

Theory of Machines: Unit I: Kinematics of Mechanisms : Tag: : Kinematics of Mechanisms - Theory of Machines - motion of a link