Solution to problem 6.2.12 from the collection of Kepe O.E.

6.2.12 Taking as a basis the plate ABDE, which consists of a right triangle ABE and a semicircle BDE, it is necessary to determine the ratio of surface weights γ1/γ2, at which the center of gravity of the plate is located on the By axis. The answer to this problem is 2.

To solve the problem, you need to use the formula to determine the coordinates of the center of gravity of a flat figure. Since the figure consists of two parts (a triangle and a semicircle), the center of gravity of the plate is located at the intersection of the symmetry axes of the triangle and the semicircle.

The semicircle has weight γ1, and the triangle has weight γ2. In order for the center of gravity to be on the By axis, it is necessary that the angle between the By axis and the axis of symmetry of the semicircle be equal to 90 degrees. This means that the axis of symmetry of the triangle must be parallel to the By axis.

From the geometry of the figure it follows that the distance from the vertex of the triangle to the By axis is equal to the distance from the center of the semicircle to the By axis. Using formulas for finding the area of ​​a triangle and a semicircle, we can obtain an expression for the ratio γ1/γ2, which is equal to 2.

Solution to problem 6.2.12 from the collection of Kepe O.?.

Solution to problem 6.2.12 from the collection of Kepe O.?. is a digital product intended for students and teachers involved in solving problems in physics. This product contains a detailed solution to Problem 6.2.12, which includes calculations and a graphical representation of a plate ABDE consisting of a right triangle ABE and a semicircle BDE.

In solving the problem, a formula is used to determine the coordinates of the center of gravity of a flat figure, and formulas are also used to find the area of ​​a triangle and a semicircle. At the end of the solution, the answer to the problem is indicated, which is equal to 2.

By purchasing this digital product, you get access to a high-quality and understandable solution to the problem, which can be used as a model material for solving similar problems. The design of the product is made in a beautiful html format, which ensures convenience and comfort when using it.

Solution to problem 6.2.12 from the collection of Kepe O.?. is a digital product intended for students and teachers involved in solving problems in physics. The problem is to determine the ratio of surface weights γ1/γ2, at which the center of gravity of the plate is located on the By axis. This product contains a detailed solution to the problem, including calculations and a graphical representation of the plate ABDE, consisting of a right triangle ABE and a semicircle BDE.

In solving the problem, a formula is used to determine the coordinates of the center of gravity of a flat figure, and formulas are also used to find the area of ​​a triangle and a semicircle. At the end of the solution, the answer to the problem is indicated, which is equal to 2. The product is designed in a beautiful HTML format, which ensures convenience and comfort when using it.

By purchasing this digital product, you get access to a high-quality and understandable solution to the problem, which can be used as a model material for solving similar problems.

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Problem 6.2.12 from the collection of Kepe O.?. consists in determining the ratio γ1/γ2 at which the center of gravity of the plate ABDE will be located on the By axis. ABDE plastic is a combination of a right triangle ABE and a semicircle BDE. The surface weights of the semicircle and triangle are denoted by γ1 and γ2, respectively. Solving the problem requires using formulas to find the center of gravity of plane figures such as right triangles and semicircles, as well as applying the equilibrium condition along the By axis. The answer to the problem is 2.

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