Solution to problem 15.2.5 from the collection of Kepe O.E.

15.2.5. In the conditions of the problem, body 1 moves vertically upward with a speed v1 = 1 m/s. A point load A with a mass of 0.1 kg is attached to rod 2 with length OA = 0.2 m. Rod 2 rotates around the horizontal axis O with a constant angular velocity ? = 10 rad/s. It is necessary to determine the kinetic energy of the load at the angle of rotation of the rod? = 60°. Solving the problem shows that the answer is 0.35.

Solution to problem 15.2.5 from the collection of Kepe O.?.

This digital product is the solution to problem 15.2.5 from the collection of Kepe O.?. This collection is one of the most popular textbooks in physics and contains many problems on various topics.

This problem is an interesting physical experiment that examines the motion of a body and its kinetic energy. The solution to the problem contains a detailed description of the conditions and a step-by-step solution with explanations.

By purchasing this solution, you receive useful material for self-studying physics and preparing for exams. In addition, the design in html format makes it easy to read on any device.

The offered product is a solution to problem 15.2.5 from the collection of Kepe O.?. The problem examines body motion and kinetic energy in an interesting physics experiment. The problem describes that body 1 moves vertically upward with a speed of 1 m/s, towards rod 2 with length OA = 0.2 m, which rotates around the horizontal axis O with a constant angular velocity ? = 10 rad/s, point weight A with a mass of 0.1 kg is attached. It is necessary to determine the kinetic energy of the load at the angle of rotation of the rod? = 60°, the answer to the problem is 0.35. The solution to the problem contains a detailed description of the conditions and a step-by-step solution with explanations. This product may be useful for self-studying physics and preparing for exams. The HTML format makes it easy to read on any device.

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Solution to problem 15.2.5 from the collection of Kepe O.?. is associated with determining the kinetic energy of load A when rod 2 rotates around the horizontal axis O with a constant angular velocity ? = 10 rad/s, and body 1 moves vertically upward with a speed v1 = 1 m/s.

To solve the problem, it is necessary to determine the speed of load A, which moves together with rod 2. To do this, consider the movement of point A relative to the center of rotation O. Point A moves along a circle of radius OA with an angular velocity ? = 10 rad/s. Therefore, the speed of point A can be determined by the formula:

v = ? * r,

where r is the radius of the circle along which point A moves.

Since the angle between the axis of rotation and the radius OA at the time when body 1 is at its maximum height is 60°, the radius of the circle can be determined by the formula:

r = OA * sin(60°) = 0.2 m * 0.866 = 0.1732 m.

Therefore, the speed of load A is:

v = ? * r = 10 rad/s * 0.1732 m = 1.732 m/s.

Now, knowing the mass of load A and its speed, we can determine its kinetic energy using the formula:

Ek = (m * v^2) / 2,

where m is the mass of load A.

Substituting known values, we get:

Ek = (0.1 kg * (1.732 m/s)^2) / 2 = 0.35 J.

Answer: kinetic energy of load A at? = 60° equals 0.35 J.

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