Solution of problem 6.2.2 from the collection of Kepe O.E.

Problem 6.2.2 is to determine the distance h from a homogeneous plate ABD to the Ox axis coordinates yc of the center of gravity of the plate, provided that BD = 0.3 m and yc = 0.3 m. It is necessary to find the value of h.

Solution: let's denote the mass of the plate by m, and the distance from point A to the Ox axis by x. Since the plate is homogeneous, its center of mass is located at the intersection of the medians, that is, at a distance h/3 from point B. Therefore, the coordinate of the center of mass along the y axis is yc = h/3.

Also, from the geometry of triangle ABD it follows that x = BD/3 = 0.1 m.

Using the formula for the center of mass of the plate, we obtain:

yc = h/3 = (m0 + m0,1 + m*h)/3m h = 0.2 m

Answer: 0.2 m.

This product is a digital product, it is a solution to problem 6.2.2 from the collection “Problems in General Physics” by Kepe O.?.

This product is suitable for those who want to deepen their knowledge in the field of physics and practice their problem-solving skills. The solution to the problem is presented in the form of a beautifully designed html page, which ensures convenience and ease of use.

This solution uses formulas and geometric laws, which allows the reader to better understand the principles and methods of solving problems in the field of physics. In addition, this solution can be used as a teaching aid for students and schoolchildren studying physics.

By purchasing this digital product, you get access to a high-quality solution to the problem and a unique opportunity to deepen your knowledge in the field of physics.

This product is a digital product, which is a solution to problem 6.2.2 from the collection "Problems in General Physics" by Kepe O.?. The problem is to determine the distance h from the homogeneous plate ABD to the Ox axis coordinates yc of the center of gravity of the plate, provided that BD = 0.3 m and yc = 0.3 m, and it is necessary to find the value of h.

In solving the problem, the mass of the plate is denoted by m, and the distance from point A to the Ox axis by x. Since the plate is homogeneous, its center of mass is located at the intersection of the medians and at a distance h/3 from point B. Therefore, the coordinate of the center of mass along the y axis is yc = h/3.

Also, from the geometry of triangle ABD it follows that x = BD/3 = 0.1 m. Using the formula for the center of mass of the plate, we obtain: yc = h/3 = (m0 + m0.1 + m*h)/3m, from which we obtain value of distance h: h = 0.2 m.

The solution to the problem is presented in the form of a beautifully designed HTML page, which makes it convenient and easy to use. This solution uses formulas and geometric laws, which allows the reader to better understand the principles and methods of solving problems in the field of physics. In addition, this solution can be used as a teaching aid for students and schoolchildren studying physics.

By purchasing this digital product, you get access to a high-quality solution to the problem and a unique opportunity to deepen your knowledge in the field of physics.

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Problem 6.2.2 from the collection of Kepe O.?. requires a solution for the distance h from the homogeneous plate ABD to the Ox axis, the coordinate yc of the center of gravity of the plate is equal to 0.3 m, if BD = 0.3 m. It is necessary to find the value of h at which this condition will be satisfied.

To solve this problem, you need to use the formula for finding the coordinates of the center of gravity of a flat figure. For a homogeneous plate, the center of gravity is at the intersection of the medians. Since the plate is a right triangle, the medians coincide with the medians of the base and height.

By convention, we know that BD = 0.3 m and yc = 0.3 m. Thus, we can write the following equation:

h * S / 3 = 0,3 * S

where h is the distance from the plate to the Ox axis, S is the area of ​​the plate.

Solving this equation, we get:

h = 0,2 м

Thus, the answer to problem 6.2.2 from the collection of Kepe O.?. equal to 0.2 m.

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