Solution of problem 9.1.5 from the collection of Kepe O.E.

9.1.5 Beam AD moves according to the equations:

p_A = t²,

in_A = 0,

θ = arcsin[2/[4 + (3,5 - t²)²]^0,5].

It is necessary to determine the abscissa of point A in the position of the beam when its angle of rotation θ = 38°. Answer: 0.940.

Based on these equations, we can determine that at the initial moment of time, point A is located at a point with coordinates (0,0). As time t increases, point A moves along the x-axis to the right with an acceleration proportional to the square of the time. The angle of rotation of the beam is determined by a formula that uses the time value t. Substituting the value of the rotation angle into the equation, we find the corresponding value of time t, and then substitute it into the equation for the x coordinate_ATo find the abscissa of point A at the position of the beam. The result is a value of 0.940.

Solution to problem 9.1.5 from the collection of Kepe O.?.

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The solution to the problem is presented in the form of a set of equations and formulas that allow us to determine the abscissa of point A in the position of the beam when its angle of rotation is 38°.

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The product is the solution to problem 9.1.5 from the collection of Kepe O.?.

Given a beam AD, which moves according to the equations: xA = t^2, yA = 0, The angle of rotation of the beam is expressed through the arcsine: θ = arcsin [2/ [4 + (3.5 - t^2)^2]^(0.5)].

It is necessary to find the abscissa of point A in the position of the beam when its angle of rotation is 38°.

To solve the problem, you need to substitute the value of the rotation angle into the equation for θ and solve it for t. Then substitute the resulting t value into the equation for xA and calculate the abscissa of point A.

As a result, we get the answer: 0.940.

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