Big Ben's hour hand is 2.7 m long with a mass of 60 kg. The minute hand is 4.5 m long with a mass of 100 kg. For this problem, you may treat each hand as a thin, uniform rod with the center of mass located at the rod's geometrical center. Image source: visitlondon.com Calculate the net torque (magnitude and direction) that the hands exert on their shared rotational axis at the following times. . 12:00 • 3:00 AB FOTOE • 7:00 9:15 (Note: the hour hand does not point directly toward the "9" at this time.) Roughly speaking, at what approximate time(s) do the hands exert maximum net torque on their shared rotational axis? Ignore the direction; focus only on the magnitude for this question.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Transcription for Educational Website**

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Big Ben’s hour hand is 2.7 m long with a mass of 60 kg. The minute hand is 4.5 m long with a mass of 100 kg. For this problem, you may treat each hand as a thin, uniform rod with the center of mass located at the rod’s geometrical center.

![Image of Big Ben clock face](Image source: visitlondon.com)

Calculate the net torque (magnitude and direction) that the hands exert on their shared rotational axis at the following times.

- **12:00**

- **3:00**

- **7:00**

- **9:15** (Note: the hour hand does *not* point directly toward the “9” at this time.)

Roughly speaking, at what approximate time(s) do the hands exert maximum net torque on their shared rotational axis? Ignore the direction; focus only on the magnitude for this question.

$page number: 2$

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Please note the image presents Big Ben's clock, illustrating the hands' positioning, but does not contribute further information beyond what's described in the task above.
Transcribed Image Text:**Transcription for Educational Website** --- Big Ben’s hour hand is 2.7 m long with a mass of 60 kg. The minute hand is 4.5 m long with a mass of 100 kg. For this problem, you may treat each hand as a thin, uniform rod with the center of mass located at the rod’s geometrical center. ![Image of Big Ben clock face](Image source: visitlondon.com) Calculate the net torque (magnitude and direction) that the hands exert on their shared rotational axis at the following times. - **12:00** - **3:00** - **7:00** - **9:15** (Note: the hour hand does *not* point directly toward the “9” at this time.) Roughly speaking, at what approximate time(s) do the hands exert maximum net torque on their shared rotational axis? Ignore the direction; focus only on the magnitude for this question. $page number: 2$ --- Please note the image presents Big Ben's clock, illustrating the hands' positioning, but does not contribute further information beyond what's described in the task above.
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