King Fahd University of Petroleum & Minerals Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 7

From one particle to two particles

12.9 Absolute Dependent Motion Analysis of Two Particles The motion of one particle will depend on the corresponding motion of another particle Inextensible cords connection

Position How to establish the position coordinate –Reference from a fixed point (O) or fixed datum. –Measures along each inclined plane in the direction of motion –Has positive sense from C to A and from D to B. Establish a total cord length equation

Velocity Velocity is the time derivative of the position From the total cord length equation Velocity

Acceleration Acceleration is the time derivative of the velocity From the velocity equation Acceleration

Example Position coordinate Velocity Acceleration

Example Position coordinate Velocity Acceleration Positive signs, why?

Example Position coordinate “ cord equation ” Velocity Acceleration

Example Position coordinate “ cord equation ” Velocity Acceleration

Position coordinate “ cord equation ” Example

Example Establish a relation y = f(x) Cord =30 m