7.7.9 For a given motion of a point along a circle of radius R, specified by the curvilinear coordinate s = s(t), it is necessary to find the moment of time t when the normal acceleration of the point an = 0. Answer: 1.
To solve the problem, it is necessary to find the second derivative of the curvilinear coordinate s(t) and equate it to zero. The moment of time t at which this condition is satisfied will correspond to zero normal acceleration of the point.
Solution to problem 7.7.9 from the collection of Kepe O.?. We present to your attention the solution to problem 7.7.9 from the collection "Collection of problems for the general course of physics. Mechanics" by Kepe O.?. This digital product is an excellent choice for students and teachers who want to deepen their mechanical knowledge and solve problems at a high level. The solution to the problem is based on the fundamental laws of mechanics and mathematical methods for solving problems. The solution uses clear and detailed explanations, making each step of the solution easy to understand. The solution is made in HTML format, which ensures convenient and beautiful display on any device. A digital product makes it easy to find the task you need and study its solution, saving time and effort. Cost: 100 rubles.
Digital product "Solution to problem 7.7.9 from the collection of Kepe O.?." is a detailed solution to a mechanics problem. The problem is to find the moment of time t when the normal acceleration of a point moving in a circle of radius R is equal to zero. In solving the problem, fundamental laws of mechanics and mathematical methods are used, and each step of the solution is provided with clear and detailed explanations. The solution is made in HTML format, providing convenient and beautiful display on any device. This digital product is an excellent choice for students and teachers who want to deepen their knowledge of mechanics and learn to solve problems at a high level. The cost of the product is 100 rubles.
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Solution to problem 7.7.9 from the collection of Kepe O.?. consists in finding the moment of time t when the normal acceleration of the point is an = 0. For this, a graph of the change in the curvilinear coordinate s = s(t) of the point’s movement along a circle of radius R is given.
The normal acceleration of a point aп characterizes the change in the direction of the point's speed and is defined as aп = v^2/R, where v is the speed of the point, R is the radius of the circle.
To determine the moment of time t, when aп = 0, it is necessary to find such a section of the graph s = s(t), in which the speed of the point is zero. This happens at the points where the graph intersects the t-axis.
Thus, the answer to problem 7.7.9 from the collection of Kepe O.?. is equal to 1, that is, the moment of time t, when the normal acceleration of the point an = 0, corresponds to the point of intersection of the graph s = s(t) with the t axis.
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