Concept explainers
(a)
The velocity of point B at
Answer to Problem 11.192RP
Explanation of Solution
Given information:
Distance between A and B is equal to
Velocity of the skier is denoted as,
For a uniformly accelerated motion,
In the above equation,
Calculation:
For radial motion,
We know that,
Therefore,
At
For angular motion,
At
Now, find the velocity at point B at
Therefore,
To find the magnitude of the velocity,
Direction of the velocity is equal to,
Conclusion:
Therefore velocity at point B is equal to,
(b)
The acceleration of point B
Answer to Problem 11.192RP
Explanation of Solution
Given information:
Distance between A and B is equal to
Acceleration of the skier is denoted as,
Calculation:
To find the acceleration of point B,
Then,
Therefore,
The magnitude is equal to,
Then,
Conclusion:
The acceleration of point B is equal to
(c)
The radius of curvature of the path
Answer to Problem 11.192RP
Radius of curvature of the path is
Explanation of Solution
Given information:
Distance between A and B is equal to
Radius of curvature is defined as,
The tangential component is denoted as,
The normal component is denoted as,
Calculation:
Find
Find the tangential component
Find the normal component
Therefore the magnitude will be,
To find the radius of curvature,
Conclusion:
The radius of curvature is equal to
Want to see more full solutions like this?
Chapter 11 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