PART 3. PLANAR KINETICS OF RIGID BODIES
Textbook Chapter 4.1 thru 4.6 (Lectures 18-23)
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Lecture (get me) |
Major Topics/WHAT
YOU WILL LEARN |
Recommended homework
problems |
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Introduction to rigid body motion in a plane. Concept of rigid body. Rotation about a fixed axis and angular velocity vector. Vectors expressed relative to fixed coordinate system (X, Y) and coordinate system (x, y) attached to rigid body. Transformation of coordinates. Time derivatives of unit vectors in rotating coordinate system (x, y). Derivation of velocity and acceleration vectors in two coordinate systems. Derivation of equations for velocity and acceleration vectors for two material points in rigid body. Geometrical interpretation of vector terms forming velocity and acceleration vectors. Example of application to pulley system. |
4.1, 4.2, 4.12 |
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Rolling
without slipping.
Physical description of motion for wheels and gears. Fundamental constraint:
geometrical development and visual demo. Derivation of equations for velocity
and acceleration of material points in a rolling wheel:
geometric-differential approach and vector analysis approach. Examples or
rolling inside and outside of curved surfaces. |
4.9, 4.10, 4.11, 4.14 |
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Planar
kinematics of mechanisms:
geometric-differential approach and vector analysis to determine velocity and
acceleration of desired material points. Identifying constraints and DOF in
linkage problems. |
4.21,
4.22, 4.31, 4.32 |
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Examples
of mechanisms: three-bar mechanism,
slider-crank mechanism, etc. Examples using polar coordinates for vector and
acceleration definitions |
4.23,
4.17, 4.37 4.33,
4.35, 4.28 |
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Get all: Lectures
18-23
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