Solution to problem 19.2.11 from the collection of Kepe O.E.

Let's take a coil weighing 2 kg with a thread of radius of inertia wound on it? = 6 cm. The thread is pulled with a force F = 0.5 N. For a coil with a radius r = 8 cm, we determine the angular acceleration when rolling without sliding. The answer to the problem is 1.

Solution to problem 19.2.11 from the collection of Kepe O.?.

We present to your attention the solution to problem 19.2.11 from the collection of Kepe O.?. in digital format.

This digital product contains a detailed description of the solution to a physics problem in which it is necessary to find the angular acceleration of a coil under given parameters. The solution is completed by an experienced teacher and guarantees high quality and correctness of the answer.

By purchasing this digital product, you get convenient and quick access to useful information that will help you successfully complete the task and increase your knowledge in the field of physics.

Do not miss the opportunity to purchase this digital product at a favorable price and gain access to a high-quality solution to problem 19.2.11 from the collection of Kepe O.?. right now!

This digital product is a solution to problem 19.2.11 from the collection of Kepe O.?. The problem considers a coil weighing 2 kg with a radius of gyration ? = 6 cm, on which a thread is wound, which is pulled with a force F = 0.5 N. It is required to determine the angular acceleration of the coil, provided that rolling occurs without sliding, and the radius of the coil is r = 8 cm.

The digital product contains a detailed description of the solution to the problem, performed by an experienced teacher, and guarantees high quality and correctness of the answer. By purchasing this product, you get convenient and quick access to useful information that will help you successfully complete the task and increase your knowledge in the field of physics.

***

Problem 19.2.11 from the collection of Kepe O.?. consists of determining the angular acceleration of a coil weighing 2 kg with a radius of gyration? = 6 cm on which the thread is wound, when pulling with a force F = 0.5 N. It is also known that the coil rolls without slipping, and the radius of the coil is r = 8 cm. The answer to the problem is 1.

To solve the problem, it is necessary to use the law of conservation of energy and Newton’s law for rotational motion. First you need to determine the work of gravity of the thread, which is calculated as the product of gravity and the path traveled by the center of mass of the coil. Then the kinetic energy of the coil is calculated as the sum of the kinetic energies of its translational motion and rotation around its axis.

Next, using the law of conservation of energy, you can find the angular acceleration of the coil. Since the coil rolls without slipping, the speed of the center of mass is equal to the product of the angular velocity and the radius of the coil.

So, the angular acceleration of the coil can be determined using the formula:

I * α = τ,

where I is the moment of inertia of the coil, α is the angular acceleration, and τ is the moment of force acting on the coil.

The moment of inertia of the coil can be calculated using the formula:

I = m * r^2 / 2 + m * ?^2,

where m is the mass of the coil, r is the radius of the coil, and ? - radius of inertia of the coil.

The moment of force acting on the coil can be defined as the product of the traction force and the radius of the coil:

τ = F * r.

Substituting the known values ​​into the formulas, we obtain the angular acceleration of the coil:

α = F * r / (m * r^2 / 2 + m * ?^2) = 0.5 N * 0.08 m / (2 kg * (0.08 m)^2 / 2 + 2 kg * (0.06 m)^2) ≈ 1 rad/s^2.

Thus, the angular acceleration of the coil is approximately 1 rad/s^2.

***

1. Solving problems from the collection of Kepe O.E. in digital format - convenient and economical.
2. Thanks to the digital version of the problem book, you can quickly and easily find the task you need.
3. The digital version of the problem book allows you to easily search by keywords.
4. The electronic format of the problem book is very convenient for use on a computer or tablet.
5. Thanks to the electronic version of the problem book, you can easily transfer it between devices.
6. The digital version of the problem book allows you to save space on shelves and in your backpack.
7. The electronic format of the problem book is convenient for use in online courses and distance learning.
8. The digital version of the problem book is quickly updated with new problems and updates.
9. The digital version of the problem book allows you to quickly move between different sections and chapters.
10. The electronic format of the problem book is very convenient for use when preparing for exams and testing.

Peculiarities:

A very convenient solution to the problem thanks to the digital form.

Save time searching for the right page in the collection thanks to the digital version.

A clear algorithm for solving the problem, presented in digital form.

Convenient access to the task from anywhere in the world thanks to the digital version.

An excellent opportunity to test your knowledge and skills in solving problems without having to buy an expensive collection.

Quick and easy search for the desired task thanks to the digital format.

A large selection of tasks and the convenience of studying them in a digital version.

Ease of use and understanding of the digital version of the problem book.

No need to carry around a heavy and bulky collection.

The ability to quickly and conveniently check the correctness of your solution thanks to the digital version.