Solution to problem 16.1.1 from the collection of Kepe O.E.

16.1.1

To determine the main moment of external forces acting on a plate with a given rotation equation ? = 5 t2 - 2, it is necessary to know its axial moment of inertia Iz, which is 0.125 kg • m2.

Having solved the second-order equation, we obtain the value ?''(t) = 10. Next, using the main moment formula, we find that the main moment of external forces is equal to 1.25.

Solution to problem 16.1.1 from the collection of Kepe O..

We present to your attention a digital product - a solution to problem 16.1.1 from the collection of Kepe O.. this product will be useful for students and teachers who study mechanics.

In solving this problem, we determine the main moment of external forces acting on the plate with a given rotation equation. For this purpose, the axial moment of inertia and the main moment formula are used.

All material is designed in beautiful html code, which makes it easy to read and use.

By purchasing our digital product, you receive a ready-made solution to the problem, which can be used for training, independent work, or preparing for exams.

The digital product that we offer is a solution to problem 16.1.1 from the collection of Kepe O.?. The solution to this problem will be useful to students and teachers who study mechanics.

The task is to determine the main moment of external forces acting on a plate with a given rotation equation. To solve the problem, it is necessary to use the axial moment of inertia, which is equal to 0.125 kg • m2, as well as the formula for the main moment.

All material is presented in beautiful HTML code, which makes it easy to read and use. By purchasing our digital product, you receive a ready-made solution to the problem, which can be used for training, independent work, or preparing for exams. The answer to the problem is 1.25.

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Solution to problem 16.1.1 from the collection of Kepe O.?. consists in determining the main moment of external forces acting on the plate according to a given rotation equation ? = 5 t2 - 2 and the known axial moment of inertia of the plate Iz = 0.125 kg • m2. The main moment of external forces is designated as M.

To solve the problem, you need to use the rotation equation:

From * ?'' = M,

where ?'' is the angular acceleration of the plate rotation.

Differentiating the given rotation equation with respect to time twice, we obtain:

?'' = 10.

Substituting this value into the equation, we get:

M = Iz * ?'' = 0.125 kg • m2 * 10 = 1.25 N • m.

Thus, the main moment of external forces acting on the plate is equal to 1.25 N • m. The answer is obtained.

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