Solution to problem 5.6.6 from the collection of Kepe O.E.

5.6.6 A homogeneous plate OABC weighing G = 30N is held in a horizontal position by hinges O, A and cable BD. It is necessary to determine the tension of the cable if a = 2 m and the angle? = 60°. Answer: 30.

The task is to determine the tension of the cable BD, which holds the homogeneous OABC slab in a horizontal position. The weight of plate G is 30 N. The plate is held by hinges O and A, as well as by cable BD. To solve the problem, it is necessary to use the balance of forces applied to the plate.

Corner ? between the cable and the horizon is 60°, and the length of the cable BD is equal to a = 2 m. Using trigonometric relations, it can be determined that the tension in the cable BD is equal to 30 N.

Solution to problem 5.6.6 from the collection of Kepe O.?. ?electronic version of the solution to problem 5.6.6 from the collection of Kepe O.?. now available in our digital store! This is an indispensable assistant for undergraduates, graduate students and anyone studying physics.

In solving the problem, trigonometric relationships and the balance of forces applied to the slab are used to determine the tension of the cable BD, which holds the homogeneous OABC slab in a horizontal position.

The electronic product is presented in pdf format, with a beautiful html design, which allows you to conveniently read and study the material on any device. This saves time and simplifies the learning process.

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Problem 5.6.6 from the collection of Kepe O.?. is as follows: given a function of two variables, it is necessary to examine it for extrema and draw a graph.

In more detail, the function f(x,y) = x^3 + y^3 - 3xy is given. It is necessary to find all the extremum points of this function, that is, the points at which the maximum or minimum is reached. It is also necessary to determine whether these points are local or global extremes.

To solve the problem, it is necessary to find the partial derivatives of the function with respect to x and y, equate them to 0, and solve the resulting system of equations. Next, you need to check the obtained points to see if they are extrema, and if so, then local or global.

Once the extremum points have been found, you can graph the function using a math package such as Wolfram Mathematica or a graphics editor such as GeoGebra. On the graph you can display the found extremum points and highlight areas in which the function increases or decreases.

The product is the solution to problem 5.6.6 from the collection of Kepe O.?. The problem describes a homogeneous plate OABC, which is held in a horizontal position by hinges O, A and cable BD. The weight of the plate G is known, which is equal to 30 N, the distance a between points O and B is equal to 2 m, and the angle is ? between the BD cable and the horizon equal to 60 degrees. It is necessary to determine the cable tension. The answer to the problem is 30.

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