Concept explainers
Disk A rotates in a horizontal plane about a vertical axis at the constant rate
(a)
The position of slider and horizontal force exerted on at
Answer to Problem 12.133RP
Explanation of Solution
Given information:
Disk A rotates at constant rate
Mass of slider B is
The spring constant is
Slider is released at
Newton’s second law of motion is denoted as,
The radial component of acceleration is defined as,
The spring force is defined as,
Where,
Calculation:
According to given information, we know that
For block B,
Substitute,
Rearrange,
Then,
Therefore, for
Therefore,
Then,
At
Now, according to equation 2,
Because of
Conclusion:
The position of slider and horizontal force exerted on at
(b)
The position of slider and horizontal force exerted on at
Answer to Problem 12.133RP
Explanation of Solution
Given information:
Disk A rotates at constant rate
Mass of slider B is
The spring constant is
Slider is released at
Newton’s second law of motion is denoted as,
The radial component of acceleration is defined as,
The spring force is defined as,
Where,
Calculation:
According to sub-part a,
We have found,
At
But we can define
Then,
At
But we know that,
Therefore,
At
To solve this, assume
Therefore,
By solving further,
Rearrange,
Substitute,
Differentiate equation 1,
Now find the force exerted,
Conclusion:
The position of slider and horizontal force exerted on at
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Chapter 12 Solutions
Vector Mechanics For Engineers
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