(a)
The quantity
(a)
Answer to Problem 11.6P
The quantity
Explanation of Solution
Given info: The vector
The formula to calculate the dot product of two vector is,
Here,
Substitute
Thus, the value of dot product of vectors is
The formula to calculate the magnitude of vector
Here,
Substitute
Thus, the value of magnitude of vector
The formula to calculate the magnitude of vector
Substitute
Thus, the value of magnitude of vector
The formula to calculate the angle between the vectors is,
Here,
Substitute
Conclusion:
Therefore, the quantity
(b)
The magnitude of the total
(b)
Answer to Problem 11.6P
The magnitude of the total angular momentum of the system of the system about the axle of the pulley is
Explanation of Solution
Given info: The mass of counterweight is
The formula to calculate the cross product of two vector is,
Substitute
Thus, the value of cross product of vectors is
The formula to calculate the magnitude of cross product of two vectors is
Here,
Substitute
Thus, the value of magnitude of
The formula to calculate the magnitude of vector
Here,
Substitute
Thus, the value of magnitude of vector
The formula to calculate the magnitude of vector
Substitute
Thus, the value of magnitude of vector
The formula to calculate the angle between the vectors is,
Here,
Substitute
Conclusion:
Therefore, the quantity
(c)
Whether the angle between the vectors is given buy part (a) or part (b).
(c)
Answer to Problem 11.6P
The angle between the vectors is given by part (a).
Explanation of Solution
Given info: The vector
From part (a), the value of the angle obtained is
The value of angle obtained in part (a) is,
Conclusion:
Therefore, the angle between the vectors is given by part (a).
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Chapter 11 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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