Concept explainers
Pin P slides in a circular slot cut in the plate shown at a constant relative speed
Fig. P15.173
(a)
Acceleration of pin at point A.
Answer to Problem 15.173P
The acceleration of pin P at point A is
Explanation of Solution
Given information:
Constant speed
Constant angular velocity
The Coriolis acceleration is a combination of
Where
The Coriolis acceleration is defined as,
Calculation:
Point A is the origin.
Therefore, position vector
The relative velocity
The acceleration
The relative acceleration
The Coriolis acceleration
Therefore, acceleration
Conclusion:
The acceleration of pin P at point A is
(b)
Acceleration of pin at point B
Answer to Problem 15.173P
The acceleration of pin P at point B is
Explanation of Solution
Given information:
Constant speed
Constant angular velocity
The Coriolis acceleration is a combination of
Where
The Coriolis acceleration is defined as
Calculation:
The position vector
The relative velocity
The acceleration
The relative acceleration
The Coriolis acceleration
The acceleration
Find the magnitude and angle
Conclusion:
The acceleration of pin P at point B is
(c)
Acceleration of pin at point C
Answer to Problem 15.173P
The acceleration of pin P at point C is
Explanation of Solution
Given information:
Constant speed
Constant angular velocity
The Coriolis acceleration is a combination of
Where
The Coriolis acceleration is defined as
Calculation:
The position vector
The relative velocity
The acceleration
The relative acceleration
The Coriolis acceleration
The acceleration
Conclusion:
The acceleration of pin P at point C is
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Chapter 15 Solutions
Vector Mechanics For Engineers
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