Modeling Simulation of Dynamic Systems Lecture5 Modeling Examples

Modeling & Simulation of Dynamic Systems Lecture-5 Modeling Examples Dr. Imtiaz Hussain email: imtiaz. hussain@faculty. muet. edu. pk URL : http: //imtiazhussainkalwar. weebly. com/ 1

Rotational and Translational Motion (Example -1) • Consider the system shown below. • The disc is of radius ‘R’ and has a moment of inertia ‘J’. There is friction between the disc and the block of mass ‘m’.

Rotational and Translational Motion • Free body diagram

Rotational and Translational Motion •

Rotational and Translational Motion •

Example-2 • Consider the system shown below (Assume no friction). • The relation between the rotation of the disc and the linear displacement moved by the disc is given by x = Rθ

Example-2 •

Example-3

Example-3 • Free Body diagram of Mass m

Example-3 • Free body diagram of drum

Example-4: Elevator

Example-4: Elevator • The cage of an elevator is hoisted by a long cable wound over a drum driven through a gear-set by an electric motor. The motor is relay-operated (i. e. , either on or off)

Example-4: Elevator

Example-4: Elevator • Differential Equation

Example-4: Elevator • Transmission

Example-5: Tap Drive

Example-5: Tap Drive

Example-5: Tap Drive

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