Solution to problem 14.5.6 from the collection of Kepe O.E.

14.5.6 Material point M with mass m = 0.5 kg moves along a curve

The coordinates of the point are known: x = y = z = 1 m and the velocity projections vx = 1 m/s, vy = 2 m/s, vz = 4 m/s.

It is required to find the angular momentum of this point relative to the Ox axis.

Answer: 1.

Given a material point M with a mass of 0.5 kg, which moves along a curve. The coordinates of this point are x = y = z = 1 m, and the projections of its velocity are vx = 1 m/s, vy = 2 m/s, vz = 4 m/s. It is necessary to determine the angular momentum of this point relative to the Ox axis. The answer to the problem is 1.

Solution to problem 14.5.6 from the collection of Kepe O.?.

This product is a solution to problem 14.5.6 from the collection of problems in physics compiled by O.?. Kepe. The solution is intended for students and anyone interested in physics.

This solution provides a detailed description of the solution to the problem, which consists in determining the angular momentum of a material point M with a mass of 0.5 kg moving along a curve with given coordinates and velocity projections.

Our solution contains a complete analysis of the problem, a detailed description of the formulas used and intermediate calculations, as well as the final answer.

This digital product is available to download anytime and anywhere, making it very convenient for students and teachers.

To purchase this product, simply add it to your cart and complete your purchase. We guarantee fast and safe delivery of your digital product.

This product is a solution to problem 14.5.6 from the collection of problems in physics compiled by O.?. Kepe. The problem is to determine the angular momentum of a material point M with a mass of 0.5 kg, moving along a curve with given coordinates and velocity projections, relative to the Ox axis. The solution to this problem provides a detailed description of the formulas used, intermediate calculations and the final answer. The solution is intended for students and anyone interested in physics. This digital product is available to download at any time and place, making it very convenient to use. You can purchase this product by adding it to your cart and completing the purchase. We guarantee fast and safe delivery of your digital product. The answer to the problem is 1.

***

Solution to problem 14.5.6 from the collection of Kepe O.?. consists in determining the angular momentum of a material point M relative to the Ox axis. From the problem conditions, the coordinates of the point (x = y = z = 1 m) and its velocity projections (vx = 1 m/s, vу = 2 m/s, vz = 4 m/s) are known.

To determine the angular momentum relative to the Ox axis, it is necessary to calculate the projection of this moment onto this axis. The angular momentum is defined as the product of the mass of a material point, its speed and the radius vector drawn from the axis of rotation to the point.

Since we are looking for angular momentum relative to the Ox axis, we only need to calculate the projection of the radius vector onto this axis. The radius vector is defined as the vector connecting the axis of rotation and a point. The projection of the radius vector onto the Ox axis is equal to its x coordinate.

Thus, to find the angular momentum about the Ox axis, it is necessary to multiply the mass of a material point by the product of its speed and the x coordinate of the point.

Based on the data of the problem, the mass of the material point is m = 0.5 kg, its speed is vx = 1 m/s, vу = 2 m/s, vz = 4 m/s, and the x coordinate of the point is 1 m.

Thus, the angular momentum about the Ox axis is equal to:

Lx = m * vx * x = 0.5 kg * 1 m/s * 1 m = 0.5 Nmwith

Answer: 1.

***

1. Excellent solution to the problem! Thanks to this digital product, I quickly and easily understood the material.
2. Thank you for the convenient and understandable format of the digital product. Solving the problem was as easy as shelling pears!
3. I received really high-quality material that helped me complete the task successfully.
4. I am very pleased with the purchase of the digital product. Solving the problem was a real challenge for me, but thanks to this material I successfully overcame it.
5. I recommend it to anyone who is looking for a reliable and high-quality source for solving problems. This digital item is a godsend!
6. I really liked the author's approach to solving the problem. He explains all the steps step by step and is very accessible.
7. Quick and easy access to solving a problem is exactly what I needed. Thank you very much!
8. I didn't expect that solving a problem could be so fun! This digital product made me fall in love with mathematics.
9. This digital product is a real find for those who are looking for an effective way to solve a problem without extra effort.
10. Super! This digital product has helped me take a step forward in my studies. Solving the problem became easier for me than ever.

Peculiarities:

A very handy digital product for those involved in mathematics.

Quick solution of the problem thanks to this collection and digital format.

Excellent quality materials and ease of use.

Significantly saves time, because there is no need to look for a task in a thick textbook.

The digital format allows you to quickly find the information you need and not waste time turning pages.

It is convenient to take with you to lessons or consultations, without taking up much space in your bag.

An excellent choice for those who prefer electronic formats of books and textbooks.

It's easy to copy and share with friends, allowing you to collaborate on tasks.

An eco-friendly choice, because you do not need to print on paper and waste resources.

Quick access to material, no need to wait for delivery or go to the store.