Summary
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More Complicated forms for Kinematics occur when you have translating and rotating frames of reference and more than one body. For motion in a
plane
Meaning of terms: vB is the velocity of B with respect to the fixed frame F vA is the velocity of A with respect to the fixed frame F vB|1 is the velocity of B with respect to A in x1y1 frame ω is the angular velocity of
link B in frame F rAB is the position vector
from A
to B aB is the acceleration of point B with respect to the fixed frame F aA is the acceleration of point A with respect to the fixed frame F aB|1 is the acceleration of B relative to A in x1y1 frame 2 ω x vB|1 is the Coriolis acceleration of B in frame F α x rAB is tangential acceleration of B relative to A in frame F α is the angular acceleration of link B in frame F - ω2 rAB is the normal acceleration of B relative to A in frame F If forces and/or moments are given or desired, then Kinetics is involved. In all cases start with a free body diagram showing the external forces and/or moments acting on the body. Euler’s first and second laws then can be applied directly. Alternatively, each law can be integrated with respect to time, which yields principles of impulse and momentum or each law can be integrated with respect to displacement which yield principles of work and energy. Click here to continue with Summary. |
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