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
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Chapter 11 Solutions
Vector Mechanics For Engineers
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