(a)
The relation between the components of velocity.
(a)
Answer to Problem 48P
The relation between the components of velocity is
Explanation of Solution
Write the equation for the position of the glider.
Here,
Write the expression for the x-component of velocity.
Here,
Write the expression for the y-component of velocity.
Here,
Conclusion:
Substitute
Thus, the relation between the components of velocity is
(b)
The relation between the components of the acceleration.
(b)
Answer to Problem 48P
The relation between the components of the acceleration is
Explanation of Solution
Write the equation for the x-component of acceleration.
Here,
Write the equation for the y-component of acceleration.
Here,
Since, the glider release from rest,
Conclusion:
Substitute
Thus, the relation between the components of the acceleration is
(c)
The tension in the string.
(c)
Answer to Problem 48P
The tension in the string is
Explanation of Solution
Write the equation of motion for the counterweight.
Here,
Write the expression for the coordinate.
Here,
Write the expression for the position of glider.
Write the equation of motion for the glider by using equation (VI) and (VIII).
Conclusion:
Substitute
Thus, the tension in the string is
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Chapter 4 Solutions
Principles of Physics: A Calculus-Based Text
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