LECTUR~7_12.10 - Dept of Mechanical Engineering...

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DYNAMICS MEC 1392 by Dr. Sanisah Saharin (E1-5-2.14) Dept. of Mechanical Engineering International Islamic University Malaysia

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Relative Motion (Translating Axes) - Consider two particles A and B. Both are moving with respect to fixed axes X-Y - The translating axes x-y is moving with particle B - The position vector of the particle A measured relative to the x-y axes is B A B A / r r r + = (A/B means A with respect to B) j y i x r B A ˆ ˆ + = 12.10 Relative-Motion Analysis of Two Particles Using Translating Axes
KINEMATICS OF PARTICLES If is the absolute position of B, then B A B A r r r + = B r Take derivative with respect to time : B A B A r r r ! ! ! + = B A B A r r r ! ! ! ! ! ! + = B A B A V V V + = B A B A a a a + = or or and

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A B 160 km/h 180 km/h h km / 20 180 160 V - V V V V V B A A/B A/B B A = = = + = h km / 20 160 180 V - V V V V V A B B/A B/A A B = = = + =

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EXAMPLE The passenger aircraft B is flying east with velocity v B = 800 km/h. A jet is traveling south with velocity v A = 1200 km/h. What velocity does A appear to a passenger in B ?
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