Solution to problem 11.3.3 from the collection of Kepe O.E.

11.3.3 Plate 1 moves with oscillations at speed ve = (?/2) sin (?/4)t. Point M moves along the plate, describing the trajectory according to the equations x1 = 0.2t^2 and y1 = 0.3t. Find the absolute acceleration of point M 3 seconds after the start of movement. (Answer 0.958)

Problem 11.3.3 from the collection of Kepe O.?. consists in finding the absolute acceleration of point M, which moves along plate 1, oscillating at a speed ve = (?/2) sin (?/4)t. The movement of point M is described by the equations x1 = 0.2t^2 and y1 = 0.3t.

It is necessary to find the absolute acceleration of point M 3 seconds after the start of movement. The answer to the problem is 0.958.

To solve the problem, it is necessary to calculate the derivatives of the equations of motion of point M with respect to time, and then substitute the obtained values ​​into the formula for calculating absolute acceleration:

a = √(a_x^2 + a_y^2)

where a_x and a_y are projections of acceleration on the coordinate axes.

The obtained values ​​of the acceleration projections should be substituted into the formula for calculating the absolute acceleration and obtain the final answer.

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The product in this case is the solution to problem 11.3.3 from the collection of Kepe O.?. The task is to determine the absolute acceleration of point M moving along plate 1, which oscillates at a speed ve = (?/2) sin (?/4)t. The movement of point M is described by the equations x1 = 0.2t2 and y1 = 0.3t. It is necessary to find the absolute acceleration of point M 3 s after the start of movement, which is equal to 0.958.

Thus, the solution to the problem is to calculate the absolute acceleration of point M and compare it with the given answer. To do this, it is necessary to analyze the movement of point M and apply the appropriate formulas and laws of mechanics.

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