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
Want to see more full solutions like this?
Chapter 15 Solutions
Vector Mechanics for Engineers: Dynamics
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY