King Fahd University of Petroleum & Minerals Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 29

Rigid-Body Motion Types of rigid body planar motion: –Translation –Rotational about fixed axis –General plane motion

Summary

r1r1 r2r2 s, v, a

Example 16-2 Rest  A = 2 rad/s 2  P =? a P =?    = 10 revelations of B

Problem r G = 80 mm r C = r D = 40 mm r E = r B = 50mm r F = 70 mm G Reverse gear transmission  B = ?

Problem 16-xx

Translation Position Acceleration AB Velocity AB

Rotation

Relative Motion Analysis: Velocity

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

Example 16-9

Rolling wheels Rolls without slipping C

IC C D Instantaneous center of zero velocity

Location of IC knowing the line of action of v A and v B

Example 16-11

Example 16-12

Example

a B = acceleration of point B a A = acceleration of the base point A  = angular acceleration of the body  = angular velocity of the body r B/A = relative-position vector drawn from A to B Relative-Acceleration equation

Rolling wheel with-out slipping G a t =0

Example 16-17

Example 16-18

Examples of Non-Relative-Motions )sliding connections and has two independent motion)

Velocity

 r Tangential acceleration  2 r Normal acceleration Coriolis acceleration Acceleration of the object Acceleration of origin Acceleration

Example 16-20a C/D = ?  DE = ?  DE = ?

a) the velocity of the ball at this instant b) the coriolis acceleration, show the direction