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King Fahd University of Petroleum & Minerals. Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 29. Summary. Relative Motion Analysis: Velocity. y. x. Indicate the direction of velocities of points A, B, C. Example 16-9. Rolling wheels. C.

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slide1

King Fahd University of Petroleum & Minerals

Mechanical Engineering

Dynamics ME 201

BY

Dr. Meyassar N. Al-Haddad

Lecture # 29

slide4

y

x

Indicate the direction of velocities of points A, B, C

slide6

Rolling wheels

C

Rolls without slipping

slide7

D

C

IC

Instantaneous center of zero velocity

slide10

Relative-Acceleration equation

aB = acceleration of point B

aA = acceleration of the base point A

a = angular acceleration of the body

w = angular velocity of the body

rB/A = relative-position vector drawn from A to B

slide11

at=0

Rolling wheel with-out slipping

G

slide13

Examples of Non-Relative-Motions

)sliding connections and has two independent motion)

slide15

Acceleration of origin

Acceleration of the object

a r

Tangential acceleration

w2 r

Normal acceleration

Coriolis acceleration

Acceleration

slide17

Example 16-20

aC/D = ?

wDE = ?

aDE= ?

slide18

a) the velocity of the ball at this instant

b) the coriolis acceleration, show the direction