11.2.3. Cart 1 moves on an inclined plane according to the law xe = 0.5t2. Inside the cart there is a slider 2, which moves according to the law y1 = 1 + 0.05•sin0.25πt. It is necessary to determine the absolute speed of point M of slider 2 at time t = 0.1 s. (Answer 0.107)
To solve the problem, it is necessary to find the derivative of y1 with respect to time t and substitute the value t = 0.1 s. The value of the derivative y1 will be the value of the absolute speed of point M of slider 2 at time t = 0.1 s.
y1 = 1 + 0,05•sin0,25πt
y1' = 0,05•0,25π•cos0,25πt
y1'(0,1) = 0.05•0.25π•cos0.25π•0.1 = 0.107 (rounded to three decimal places)
Thus, the absolute speed of point M of slider 2 at time t = 0.1 s is 0.107.
This digital product is a solution to mathematical problem 11.2.3 from the collection "Problems in General Physics" by Kepe O.?.
The task is to determine the absolute speed of point M of slider 2 at time t = 0.1 s on an inclined plane, where cart 1 moves according to the law xe = 0.5t2, and inside the cart slider 2 moves according to the law y1 = 1 + 0.05 •sin0.25πt.
This solution contains a detailed description of the necessary formulas and intermediate calculations, as well as the answer to the problem, rounded to three decimal places.
By purchasing this digital product, you receive a ready-made solution to the problem, which can be used for studying, preparing for exams, or simply to expand your knowledge in the field of mathematics and physics.
This product is a solution to mathematical problem 11.2.3 from the collection "Problems in General Physics" by Kepe O.?.
The task is to determine the absolute speed of point M of slider 2 at time t = 0.1 s on an inclined plane, where cart 1 moves according to the law xe = 0.5t2, and inside the cart slider 2 moves according to the law y1 = 1 + 0.05 •sin0.25πt.
To solve the problem, it is necessary to find the derivative of y1 with respect to time t and substitute the value t = 0.1 s. The value of the derivative y1 will be the value of the absolute speed of point M of slider 2 at time t = 0.1 s.
This solution contains a detailed description of the necessary formulas and intermediate calculations, as well as the answer to the problem, rounded to three decimal places.
By purchasing this digital product, you receive a ready-made solution to the problem, which can be used for studying, preparing for exams, or simply to expand your knowledge in the field of mathematics and physics.
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The product is the solution to problem 11.2.3 from the collection of Kepe O.?. The task is to determine the absolute speed of point M of slider 2 at time t = 0.1 s, which moves inside cart 1 moving along an inclined plane according to the law xe = 0.5t2, and the slider moves according to the law y1 = 1 + 0.05 • sin 0.25πt.
The answer to the problem is 0.107.
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