Concept explainers
Angular velocity and angular acceleration of rod attached at point B.
Answer to Problem 15.176P
The angular velocity
The angular acceleration
Explanation of Solution
Given information:
Angular velocity of rod AP is
Angular acceleration of rod AP is
Plane motion of a particle relative to a rotating frame is defined as,
In the above equation,
The Coriolis acceleration is a combination of
Where,
The Coriolis acceleration is defined as,
Calculation:
Apply sine rule for triangle ABP
Therefore,
The relative position
The relative position
Velocity
Acceleration
The relative velocity
The relative acceleration
Assume rod BP as the rotating frame of reference.
The velocity
Assume
The acceleration
Assume
The velocity
Equate components
Solve above equations
Therefore, the relative velocity
The Coriolis acceleration
Acceleration
Equate components
Solve above equations
Conclusion:
The angular velocity
The angular acceleration
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Chapter 15 Solutions
Vector Mechanics For Engineers
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