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Q.44

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 332

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Short Answer

What is the angular momentum vector of the rotating bar in

Therefore the angular momentum of the rotating bar is

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Step by Step Solution

Step :1 Introduction 

The rotation between angular momentum and angular velocity of the bar can be

Here, is the moment of inertia of the bar and is the angular velocity of the bar, and the bar is rotating counter clockwise the angular velocity is in the direction.

Step :2 Explanation

The rotating bar is as shown in the below figure:

Step : 3 Angular velocity 

The mass of bar is convert the units of mass from

The angular velocity of the bar is Convert the units of bar from

The moment of inertia can be found using the equation for a thin rod around the center:

Substitute for for in the above frmula t solve the mooemnt of inertia of the bar

Substitute in equation to solve the angular momentum of the rotating bar.

The angular momentum is out of the page (counterclockwise rotation )

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