Solution to problem 7.4.4 from the collection of Kepe O.E.

7.4.4 It is necessary to determine the acceleration of point H at the time when the angle ? equals 60°. To solve this problem, it is known that the length of the segments OA and AB is 20 cm, and the law of angle change is ? is determined by the expression ?=3t. The answer to the problem is -1.8.

This digital product is a solution to problem 7.4.4 from the collection "Problems in Physics" by Kepe O.?. The solution is presented in electronic form and is available for download in the digital goods store.

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Problem 7.4.4 from the collection of Kepe O.?. refers to the section of mechanics and involves determining the acceleration of a point at the moment of time when the angle is 60°. The solution to this problem is presented in an accessible and understandable form, which makes it easy to understand its solution.

By purchasing this digital product, you receive a ready-made solution to the problem, which allows you to significantly save time and effort when preparing for exams or taking tests.

This digital product is a solution to problem 7.4.4 from the collection "Problems in Physics" by Kepe O.?. The problem belongs to the section of mechanics and involves determining the acceleration of a point at the moment of time when the angle ? equals 60°. To solve the problem, it is known that the length of the segments OA and AB is 20 cm, and the law of angle change is ? is determined by the expression ?=3t.

The solution to this problem is presented in an accessible and understandable form, which makes it easy to understand its solution. The product is designed in a beautiful html format, which allows you to conveniently view and study the solution to the problem on any device.

By purchasing this digital product, you receive a ready-made solution to the problem, which allows you to significantly save time and effort when preparing for exams or taking tests. The answer to the problem is -1.8.

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Solution to problem 7.4.4 from the collection of Kepe O.?. consists in determining the acceleration of point H at the moment of time when the angle between straight lines OA and HB is equal to 60 degrees, provided that the length of the segments OA and AB is equal to 20 cm, and the law of change in the angle is given by the formula ? = 3t.

To solve the problem, it is necessary to use the formula for radial acceleration, which is expressed through the linear speed and the radius of curvature of the trajectory of the point. In this case, the trajectory of point H is a circle with a center at point O and a radius of 20 cm.

To determine the linear speed of point H, it is necessary to use the formula for the speed of a point on a circle, which is expressed through the radius of the circle and angular speed. Angular velocity, in turn, is determined through the law of angle change.

Thus, it is necessary to find the angular velocity of point H at the time t = 20/3 s, when the angle between straight lines OA and HB is equal to 60 degrees. To do this, we substitute the value of t into the formula for the law of angle change: ?=3t, we get ?=60 degrees.

Next, we find the linear speed of point H using the formula for speed on a circle: v=wr, where w is the angular speed, r is the radius of the circle, in this case r=20 cm.

Angular velocity in radians per second: w=3 degrees/s * pi/180 = pi/60 rad/s.

Linear speed of point H: v=(pi/60 rad/s) * (20 cm) = pi/3 cm/s.

Finally, we find the radial acceleration of point H using the formula for radial acceleration: a=v^2/r, where v is the linear speed, r is the radius of curvature of the trajectory.

The radius of curvature of the trajectory is equal to the radius of the circle, that is, 20 cm.

Radial acceleration of point H: a=(pi/3 cm/s)^2 / (20 cm) = pi/180 cm/s^2.

So, the acceleration of point H at the moment of time when the angle between straight lines OA and HB is equal to 60 degrees is equal to -1.8 cm/s^2 (rounded to one decimal place).

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