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Villanova University - M.E. 3150: Introduction to Dynamics Syllabus and Course Information, Exams of Dynamics

Information about the 'm.e. 3150 - introduction to dynamics' course offered by villanova university's mechanical engineering department during the fall 2008 semester. The course description, objectives, prerequisites, corequisites, textbooks, and grading policy. The syllabus covers topics such as kinematics, force-free motion, motion due to the action of forces, and rigid body rotational motion.

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Uploaded on 08/16/2009

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VILLANOVA UNIVERSITY
MECHANICAL ENGINEERING DEPARTMENT
M.E. 3150 – Introduction to Dynamics
Semester: Fall 2008
Instructor: Dr. Hashem Ashrafiuon
Email: hashem.ashrafiuon@villanova.edu
Office: Tolentine 111B
Phone: 519-7791
Public Files: \\egrfaculty\public\Mechanical\ME3150\
Office Hours: Mon. & Wed.: 1:15 pm – 3:15 pm or email for appointments
Course Description:
Kinematics (displacement, velocity, and acceleration) of particles and rigid bodies; projectile
motion; translational motion of the mass center of bodies acted on by contact forces;
plane rotational motion of bodies acted on by contact forces and moments; equations of motion;
energy and momentum principles.
Course Objective:
1. Draw the free body diagram and write the corresponding dynamic (force and moment)
equilibrium equations (equations of motion) for a rigid body for the general plane motion.
2. Draw the free body diagram and write the corresponding dynamic (force and moment)
equilibrium equations for each of two interacting bodies undergoing a general plane motion.
Include all constraint equations required to completely specify the motion.
3. Solve some simple problems of motion by integrating the equations.
Prerequisite(s): ME 2100 or CEE 2104
Corequisite: MAT 2705
Textbooks:
1- Required: Whitman, A. M., Introduction to Dynamics, available in the ME dept.
2- Optional: Tallarida, R.J., Pocket Book of Integrals and Mathematical Formulas 4th
edition, 2008, Chapman & Hall/CRC, Boca Raton.
Course Tentative Grading:
Homework & projects 10%
Three exams 60%
Final exam 30%
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1 VILLANOVA UNIVERSITY MECHANICAL ENGINEERING DEPARTMENT

M.E. 3150 – Introduction to Dynamics

Semester : Fall 2008 Instructor : Dr. Hashem Ashrafiuon Email : hashem.ashrafiuon@villanova.edu Office : Tolentine 111B Phone : 519- Public Files : \egrfaculty\public\Mechanical\ME3150\

Office Hours : Mon. & Wed.: 1:15 pm – 3:15 pm or email for appointments

Course Description :

Kinematics (displacement, velocity, and acceleration) of particles and rigid bodies; projectile motion; translational motion of the mass center of bodies acted on by contact forces; plane rotational motion of bodies acted on by contact forces and moments; equations of motion; energy and momentum principles.

Course Objective :

  1. Draw the free body diagram and write the corresponding dynamic (force and moment) equilibrium equations (equations of motion) for a rigid body for the general plane motion.
  2. Draw the free body diagram and write the corresponding dynamic (force and moment) equilibrium equations for each of two interacting bodies undergoing a general plane motion. Include all constraint equations required to completely specify the motion.
  3. Solve some simple problems of motion by integrating the equations.

Prerequisite(s): ME 2100 or CEE 2104 Corequisite: MAT 2705

Textbooks: 1- Required: Whitman, A. M., Introduction to Dynamics , available in the ME dept. 2- Optional: Tallarida, R.J., Pocket Book of Integrals and Mathematical Formulas 4th edition, 2008, Chapman & Hall/CRC, Boca Raton.

Course Tentative Grading :

  • Homework & projects 10%
  • Three exams 60%
  • Final exam 30%

2 VILLANOVA UNIVERSITY MECHANICAL ENGINEERING DEPARTMENT

M.E. 3150 – Introduction to Dynamics

Syllabus :

I. Kinematics 1- Velocity: rectangular, cylindrical and tangent coordinates relative to two translating observers; Angular Velocity: addition, relative to two rotating observers, angular acceleration 2- Acceleration – rectangular, cylindrical and tangent frames, relative to two translating and rotating observers 3- Applications – mechanisms

II. Force Free Motion

  • Galileo’s Principle – Projectile Motion, applications

III. Motion Due to the Action of Forces 1- Newton’s Law of Motion – inertial mass, mass and weight, rigid bodies 2- Rigid Body Translational Motion – straight line, motion, circular motion, motion in a plane 3- Several Bodies – bodies connected by strings, bodies sliding on one another, impulsive motion

IV. Rigid Body Rotational Motion 1- Rigid Body Moment Equilibrium – angular momentum for a fixed axis, general expression for angular momentum. 2- Moments and Products of Inertia – radius of gyration, translated observers, rotated observers 3- Rotation About a Fixed Axis – axis through the mass center, axis other than the mass center 4- General Plane Motion – rolling and translational motion 5- Several Bodies – bodies connected by strings, bodies rolling on one another, impulsive motion