### Basic Mechanics II

#### ME 27400 / 3 Cr. (3 Class)

Kinematics of particles in rectilinear and curvilinear motion. Kinetics of particles, Newton's second law, energy, and momentum methods. Systems of particles, kinematics and plane motion of rigid bodies, forces and accelerations, energy and momentum methods. Kinetics, equations of motions, energy and momentum methods for rigid bodies in three-dimensional motion. Application to projectiles, gyroscopes, machine elements, and other engineering systems.

**Available Online:** No

**Credit by Exam:** No

**Laptop required:** No

**Prerequisites/Co-requisites:**

P: ME 27000 C: MATH 26600.

##### Textbooks

F.P. Beer and E. R. Johnston, Jr., and E.R. Eisenberg, Vector Mechanics for Engineers: Dynamics, McGraw Hill, 9th Edition, 2009.

##### Goals

Acquire fundamental knowledge of kinematics and kinetics for a point mass, system of discrete masses, and a rigid bodies.

##### Outcomes

**After completion of this course, the students should be able to:**

- Solve problems of kinematics of a single particle in rectilinear motion [a]
- Solve problems of kinematics of a single particle in a curvilinear motion [a]
- Solve problems involving kinetics of a single particle using Newton's equations of motion [a]
- Use the equations of motion to develop the relationship between the work of external forces and change of kinetic energy for a single particle [a]
- Use the method of momentum for solving certain problems involving kinetics of a single particle [a, e]
- Follow the development of general equations of motion for kinetics of a system of particles and their application for the particular case of rigid bodies [a, e]
- Solve problems involving kinematics of rigid bodies [a, e]
- Solve problems involving kinetics of a rigid body in plane motion [a, e]
- Use the energy method in plane motion for solving dynamic equations of motion [a]

Note: The letters within the brackets indicate the general program outcomes of mechanical engineering. See: ME Program Outcomes.

##### Topics

- Kinematics of a particle: rectilinear and curvilinear motion, rectangular, path, and cylindrical coordinate systems (4 weeks)
- Kinetics of a single particle, use of various coordinate systems (2 weeks)
- Work and an energy, definition of potential energy for a conservative force system (2 weeks)
- Linear impulse and momentum for a single particle, angular impulse and momentum (2 weeks)
- Central force motion, direct and oblique impact (2 weeks)
- Kinetics of a system of particles, derivation of the fundamental equations (1 weeks)
- Kinematics of rigid bodies, translation and rotation, relative and absolute references, general motion (3 weeks)
- Mass moment of inertia review (2 weeks)
- Plane kinetics of rigid bodies, formulation of the necessary equations, examples, and applications (3 weeks)
- Energy and momentum formulations for plane motion of rigid bodies (4 weeks)
- Exams (2 weeks)