TEST PROBLEMS MECHANICAL ENGINEERING

TEST PROBLEMS MECHANICAL ENGINEERING

 Course Objectives:

1.      Master the concepts of planar particle and rigid-body kinematics and dynamic analysis.

2.      Get familiar with three different methods of approaching dynamics problems, namely: Newton’s 2^nd law, work and energy, and impulse and momentum.

3.      Understand that the mathematical models used for analysis are also used for design.

FINAL EXAM

Course Outcomes & Assessment:  At the conclusion of this course, students will be able to:
1. Solve for the one-dimensional kinematics of a particle using the basic relationships between position, velocity, acceleration, and time. (HT)
2. Solve problems involving the kinematics of one-dimensional constrained motion of particles, with specific application to pulley systems. (HT)
3. Describe two-dimensional motion of a particle using cartesian, polar, and path coordinate systems. (HT)
4. Convert from one coordinate system to another and solve problems involving a mixture of coordinate systems. (HT)
5. Apply the concepts of angular velocity and acceleration, along with the notions of relative velocity and acceleration and the vector cross product, to determine the velocity and acceleration of points fixed in rigid-bodies. (HT)
6. Apply the concept of an instant center to determine the velocities of points in single rigid-bodies and of the bodies themselves in constrained rigid-body systems/gear trains/linkages. (HT)
7. Determine the position, velocity, and acceleration of points fixed in rigid-bodies that are rolling without slip. (HT)
8. Describe the positions, velocities, and accelerations of all members of constrained planar-rigid-body linkages and gear-trains. (HT)
9. Determine the relative and absolute velocities and accelerations of independent particles, particles moving within rotating discs, and linkages containing prismatic joints in terms of the application of rotating-reference-frames and the notion of coincident points. (HT)
10. Apply Newton’s 2nd Law to obtain the differential equations of motion of free and constrained particles and rigid-bodies in one- and two-dimensions and to solve for forces, moments, and/or accelerations, including situations involving friction. (HT)
11. Apply the Work-Energy relationship to obtain the integral velocity-displacement equations of free and constrained particles and rigid-bodies in one- and two-dimensions and to solve for forces, moments, displacements, and/or velocities, including situations involving friction. (HT)
12. Apply the Linear and Angular Impulse and Momentum relationships, including Linear Impact, to obtain the integral velocity-time equations of free and constrained particles and rigid-bodies in one- and two-dimensions and to solve for forces, moments, velocities, and/or time, including situations involving friction. (HT)
13. Determine if a problem is solvable in terms of the relationship between the number of independent kinematics and kinetics equations available and the number of unknowns. (HT)