Determine the angular velocity of Gear A (Relative Velocity) - Engineers Academy

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Chapter 16: Planer Kinematics of a Rigid Body : Rotation about a fixed axis
Hibbeler Dynamics 14th edition

16-62. The planetary gear A is pinned at B. Link BC rotates clockwise with an angular velocity of 8 rad/s, while the outer gear rack rotates counterclockwise with an angular velocity of 2 rad/s. Determine the angular velocity of gear A.

Engineering Mechanics Problems Solution
Engineering Mechanics Dynamics
Angular motion
Rotation about a fixed axis
Planer Kinematics of a rigid body
Hibbeler dynamics
Engineering dynamics
Relative motion analysis
Determine the absolute velocity of point B ( Relative Motion Analysis )
Instantaneous centre of zero velocity
Engineers Academy
Instantaneous centre
Relative velocity
Angular velocity of gear A

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i love kinematics and dynamics of rigid bodys! Can u also do some videos about kin synthesis?

fra
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Why cannot i say VE (Which is 40 in/sec) is also equal to angular velocity of A * raduis of A. Since they are in contact
resulting in 40 = Wa * 5 --> 5 is the radius of A

Ahmad-qvcu