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Suppose jogger 3 in Figure 11-33 has a mass of 62.2 kg and

Chapter 11, Problem 58P

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QUESTION:

Suppose jogger 3 in Figure 11–33 has a mass of 62.2 kg and a speed of 5.85 m/s. (a) Is the magnitude of the jogger’s angular momentum greater with respect to point A or point B? Explain. (b) Is the magnitude of the jogger’s angular momentum with respect to point B greater than, less than, or the same as it is with respect to the origin, O? Explain. (c) Calculate the magnitude of the jogger’s angular momentum with respect to points A, B, and O.

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QUESTION:

Suppose jogger 3 in Figure 11–33 has a mass of 62.2 kg and a speed of 5.85 m/s. (a) Is the magnitude of the jogger’s angular momentum greater with respect to point A or point B? Explain. (b) Is the magnitude of the jogger’s angular momentum with respect to point B greater than, less than, or the same as it is with respect to the origin, O? Explain. (c) Calculate the magnitude of the jogger’s angular momentum with respect to points A, B, and O.

ANSWER:

Problem 58

Suppose jogger 3 in Figure 11-33 has a mass of 62.2 kg and a speed of 5.85 m/s. (a) Is the magnitude of the jogger's angular momentum greater with respect to point A or point B? Explain. (b) Is the magnitude of the jogger's angular momentum with respect to point B greater than, less than, or the same as it is with respect to the origin, O? Explain. (c) Calculate the magnitude of the jogger's angular momentum with respect to points A, B, and O.

         

                                                              Step by Step Solution

Step 1 of 3

(a) From the picture we can see that jogger  runs in a straight line at constant speed. The  angular momentum increases with the perpendicular distance to the reference point. Since jogger’s perpendicular distance to point  is zero,his angular momentum is zero with respect to . Therefore jogger ’s angular momentum is greater with respect to point .

 

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