Solution to problem 14.5.10 from the collection of Kepe O.E.

14.5.10 Rotating cone with angular velocity? = 4 rad/s rotates around the Az axis. A material point M with a mass of 1 kg moves along the generatrix of the cone. If the distance from point M to the axis of rotation is 1 m, and the angle between this line and the Oz axis is 30°, then it is necessary to determine the angular momentum of the material point relative to the Oz axis. The answer is 1.

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This digital product is a detailed solution to problem 14.5.10 from the collection of Kepe O.?. in physics. The problem considers a rotating cone with an angular velocity ? = 4 rad/s around the axis Az, along the generatrix of which a material point M with a mass of 1 kg moves. The distance from point M to the axis of rotation is 1 m, and the angle between this line and the Oz axis is 30°.

In this digital product you will find a detailed solution to the problem using formulas and step-by-step instructions. You will also find source data to help you understand how the final formula was arrived at. Beautiful html design of the product will allow you to easily and quickly navigate the solution to the problem.

As a result of using this digital product, you will be able to determine the angular momentum of a material point relative to the Oz axis in a position where the distance OM = 1 m and the angle? = 30°. This answer is 1.

The digital product is intended for students and anyone interested in physics. You can view information on any device, including computers, tablets and mobile phones. Buy this product and get the most out of your training!

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Okay, I can speak Russian. The task description you provided is as follows:

The cone rotates uniformly around the Az axis with an angular velocity ? = 4 rad/s. A material point M with a mass of 1 kg moves along the generatrix of the cone. It is necessary to determine the angular momentum of a material point relative to the Oz axis in a position where the distance OM = 1 m, if the angle is ? = 30°. The answer to the problem is 1.

To solve the problem, you need to use the formula for the moment of momentum about a given axis, which looks like this:

L = r x p,

where r is the radius vector from the axis of rotation to the material point, p is the momentum of the material point.

Also for this task you need to use the formula for the radius vector r, which is expressed through the angle of inclination of the cone to the horizon and the distance from the top of the cone to the material point.

After substituting known values ​​and simple mathematical operations, we can get the answer to the problem.

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