Dynamics
Kinematics and kinetics of particles and rigid bodies, from motion profiles and impacts to linkages, rotating machinery and an introduction to vibration.
MEC-210 Year 2 3 credits 12 lessons · 5 h 15 min
Offered by HSM University · Mechanical Engineering
This is the Canadian version of this course. See the American version.
What you'll learn
- Relate position, velocity and acceleration for rectilinear motion, using calculus, constant-acceleration equations and motion-profile graphs.
- Describe curvilinear motion in rectangular, normal-tangential and polar coordinates, including projectiles and motion on curves.
- Analyze relative motion between moving bodies and dependent motion of particles connected by cables and pulleys.
- Apply Newton's second law to particles using free-body and kinetic diagrams, including friction, curved paths and variable forces.
- Use the principle of work and energy, potential energy and power to solve particle problems efficiently.
- Apply impulse and momentum to particles, including impacts with a coefficient of restitution.
- Analyze systems of particles using the motion of the centre of mass, angular momentum and conservation laws.
- Determine the velocities and accelerations of points on rigid bodies in translation, fixed-axis rotation and general plane motion.
- Locate instantaneous centres of zero velocity and use relative-acceleration equations to analyze linkages such as the slider-crank.
- Write and solve the equations of plane motion for rigid bodies, including mass moments of inertia, sliding versus tipping, and rolling.
- Apply work-energy and impulse-momentum principles to rigid bodies, including power transmission, clutch engagement and eccentric impact.
- Model single-degree-of-freedom vibration, find natural frequencies and damping ratios, and assess resonance and vibration isolation.
Course content
12 lessons · 5 h 15 min total · final exam
- 1 Kinematics of particles: rectilinear motion 26 min · quiz
- 2 Curvilinear motion: rectangular, normal-tangential and polar coordinates 27 min · quiz
- 3 Relative and dependent motion 27 min · quiz
- 4 Force and acceleration: Newton's second law for particles 28 min · quiz
- 5 Work and energy for particles 26 min · quiz
- 6 Impulse, momentum and impact 26 min · quiz
- 7 Systems of particles and angular momentum 26 min · quiz
- 8 Planar kinematics of rigid bodies 24 min · quiz
- 9 Instantaneous centres and relative acceleration 27 min · quiz
- 10 Planar kinetics of rigid bodies: force and acceleration 27 min · quiz
- 11 Energy and momentum methods for rigid bodies 25 min · quiz
- 12 Introduction to mechanical vibrations 26 min · quiz
- E Final exam 20 questions
Requirements
Recommended background. You can start any course at any time.
Description
Kinematics and kinetics of particles and rigid bodies, from motion profiles and impacts to linkages, rotating machinery and an introduction to vibration.
Part of the Engineering stream, typically taken in year 2.