Solution to problem 20.2.10 from the collection of Kepe O.E.

Let's solve the mechanics problem:

The cable covers cylinders 1 and 2 with masses m1 = 24 kg and m2 = 16 kg. It is necessary to determine the generalized force, which corresponds to the generalized coordinate y2.

Answer: -78.5

Solution to problem 20.2.10 from the collection of Kepe O..

We present to your attention a digital product - a solution to problem 20.2.10 from the collection of Kepe O.. This product will be useful to students and teachers who study mechanics.

In this product you will find a complete and detailed solution to the problem, which will help you better understand the principles of mechanics and learn how to solve similar problems yourself.

The solution to the problem is presented in PDF format and can be downloaded immediately after purchase. You can use it for your learning purposes or share it with your friends and colleagues.

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Price: 100 rubles.

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Solution to problem 20.2.10 from the collection of Kepe O.?. is a problem from the field of mechanics.

There is a cable that spans two cylinders with masses m1 = 24 kg and m2 = 16 kg. It is necessary to determine the generalized force corresponding to the generalized coordinate y2.

To solve the problem we can use the principle of least action. The generalized force F can be found as the derivative of the Lagrange function L with respect to the generalized coordinate q:

F = d/dt(dL/dq') - dL/dq,

where q is the generalized coordinate, q' is its time derivative, L is the Lagrange function.

In this case, we have two generalized coordinates: y1 and y2. The Lagrange function can be written as:

L = T - V,

where T is the kinetic energy of the system, V is the potential energy of the system.

To find T and V, you need to express them in terms of generalized coordinates and their derivatives.

After substituting the values ​​into the formulas and differentiation, we obtain the equations of motion for each of the generalized coordinates. As a result of solving these equations, we can find the generalized force corresponding to the generalized coordinate y2.

The answer to the problem is a generalized force value of -78.5.

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