Solution to problem 16.1.6 from the collection of Kepe O.E.

Problem 16.1.6 sounds like this: there is a cone with mass m = 10 kg and base radius R = 1 m, which rotates around the axis of symmetry according to the law? = 4sin 2t. It is necessary to determine the main moment arising due to external forces acting on the cone relative to the axis of rotation at time t = ?/4 s. The moment of inertia of the cone Iz is 0.3 mR2. The answer to the problem is -48.

Welcome to our digital goods store! We present to your attention a unique product - a solution to problem 16.1.6 from the collection of Kepe O.?.

This digital product is intended for those who are interested in physics and mathematics, as well as for students and students who are preparing for exams and testing. The solution to problem 16.1.6 is a detailed description of the steps required to solve this problem, with step-by-step instructions and explanations.

We provide our clients with a beautifully designed html document with a solution to the problem that is easy to read and understand. You can download this digital product immediately after payment and start studying the material immediately.

Get access to this unique product today and improve your knowledge in physics and mathematics!

You can purchase a high-quality ExpressVPN VPN account for use on Android and iOS devices with a 2-month subscription period. This account ensures a safe and private Internet experience, as well as protection from online threats and hacker attacks. You can get fast and unlimited access to content on the Internet, supporting OpenVPN, L2TP/IPSec, PPTP and others protocols.

When you purchase this product, you will receive an ExpressVPN account with a 2-month subscription, plus fast and convenient delivery to your email. You will also receive support and advice from professional technicians.

The seller guarantees a guarantee for the product for 60 days from the date of purchase, professional technical and information assistance, as well as an account with a licensed Premium subscription and instant receipt of the purchase by mail.

When purchasing this product, you should take into account the terms of use, such as the prohibition on linking personal cards and data, on performing third-party activity on the account, on transferring product data to third parties, as well as on any manipulation of the product and changing any data from the account. It is important to remember that attempting to renew your subscription on your own is prohibited.

***

Solution to problem 16.1.6 from the collection of Kepe O.?. consists in determining the main moment of external forces applied to the cone relative to the axis of rotation at the moment of time t = ?/4.

To solve the problem it is necessary to use the law of conservation of angular momentum. The main moment M of the load can be expressed as the product of the moment of inertia I and the angular acceleration α of the cone: M = Iα.

Angular acceleration can be found from the equation of motion of a rotating body: α = dω/dt, where ω is the angular velocity determined from the law of cone rotation using the formula ω = dθ/dt = 8cos(2t).

Differentiating the expression for angular velocity with respect to time, we obtain: α = dω/dt = d(8cos(2t))/dt = -16sin(2t).

Now, substituting the values ​​of the cone mass m = 10 kg, base radius R = 1 m, moment of inertia of the cone Iz = 0.3 mR^2 and angular acceleration α = -16sin(2t) into the formula for the main moment, we obtain:

M = Iz * α = 0.3 * 1^2 * (-16sin(2t)) = -4.8sin(2t).

The sought main moment at time t = ?/4 seconds is equal to M = -4.8sin(2*π/4) = -4.8sin(π) = -4.8 * 0 = 0 Nm.

Thus, the answer to problem 16.1.6 from the collection of Kepe O.?. - the main moment of external forces applied to the cone relative to the axis of rotation at the moment of time t = ?/4 s is equal to 0 Nm.

***

1. A very convenient digital product for solving math problems.
2. Solution of the problem from the collection of Kepe O.E. has become much easier thanks to this digital product.
3. Quickly and easily figure out how to solve a problem thanks to this digital product.
4. An excellent choice for those looking for effective ways to solve math problems.
5. The convenient format of the digital product allows you to quickly and easily find the information you need.
6. All the necessary material to solve the problem is collected in one place thanks to this digital product.
7. This digital product is distinguished by its high quality and accuracy of solving the problem.
8. The solution to the problem has become more understandable and accessible thanks to this digital product.
9. An indispensable assistant for those who want to improve their math problem-solving skills.
10. This digital product allows you to save time and effort when solving problems.

Peculiarities:

Solution of problem 16.1.6 from the collection of Kepe O.E. - a great digital product for preparing for exams.

With this solution to the problem, you can easily and quickly consolidate theoretical knowledge and improve practical skills.

Solution of problem 16.1.6 from the collection of Kepe O.E. - an indispensable assistant for students and schoolchildren.

This digital product helps you save time preparing for lessons and exams.

Solution of problem 16.1.6 from the collection of Kepe O.E. - An excellent tool for self-study.

Thanks to this digital product, you can easily test your knowledge and skills in solving problems.

Solution of problem 16.1.6 from the collection of Kepe O.E. is a useful and handy resource for anyone studying mathematics.

With this digital product, you can quickly and efficiently prepare for exams and tests.

Solution of problem 16.1.6 from the collection of Kepe O.E. - an excellent choice for those who want to improve their knowledge in mathematics.

This digital product will help you not only solve problems, but also better understand the material you are studying.