Solution to problem 14.5.9 from the collection of Kepe O.E.

In this problem, there is a tube that rotates uniformly around its axis with an angular velocity ? = 10 rad/s. Inside the tube there is a ball with mass m = 1 kg, which moves relative to the tube at a speed vr = 2 m/s. The distance from the axis of rotation of the tube to the ball is 0.5 m. It is necessary to determine the angular momentum of the ball relative to the axis of rotation of the tube.

To solve this problem, you need to use the formula for angular momentum:

L = m * v * r,

where L is the angular momentum, m is the mass of the ball, v is the speed of the ball relative to the tube, r is the distance from the axis of rotation of the tube to the ball.

Substituting the known values, we get:

L = 1 * 2 * 0.5 = 1 N * m.

Answer: 1 N*m.

Solution to problem 14.5.9 from the collection of Kepe O.?.

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This product is a solution to problem 14.5.9 from the collection of Kepe O.?. in physics. The problem considers a tube that rotates around its axis with an angular velocity of 10 rad/s, inside which there is a ball with a mass of 1 kg moving relative to the tube at a speed of 2 m/s. It is necessary to find the angular momentum of the ball relative to the axis of rotation of the tube at a distance from the axis to the ball of 0.5 m.

To solve this problem, use the formula for angular momentum L = m * v * r, where L is the angular momentum, m is the mass of the ball, v is the speed of the ball relative to the tube, r is the distance from the axis of rotation of the tube to the ball. Substituting the known values, we get: L = 1 * 2 * 0.5 = 1 N * m.

Thus, the answer to the problem is 1 N * m. By purchasing this product, you will get access to a detailed description of the solution to the problem, which can be useful for studying physics and mathematics, as well as for preparing for exams and entering university. The solution to the problem also contains methods and formulas that can be used to solve other problems in the field of mechanics.

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The product in this case is the solution to problem 14.5.9 from the collection of Kepe O.?. The task is to determine the angular momentum of the ball relative to the axis of rotation of the tube under given conditions.

According to the conditions of the problem, the tube rotates uniformly with an angular velocity ? = 10 rad/s, and a ball of mass m = 1 kg moves in the tube with a speed vr = 2 m/s. The distance from the axis of rotation of the tube to the ball is 0.5 m.

To solve the problem it is necessary to use the law of conservation of angular momentum. The moment of momentum of the ball relative to the axis of rotation of the tube can be defined as the product of the mass of the ball and its speed relative to the axis of rotation of the tube, multiplied by the distance from the axis of rotation to the ball.

Based on this formula and the data of the problem, we can determine the angular momentum of the ball relative to the axis of rotation of the tube:

L = m * vr * OM = 1 * 2 * 0.5 = 1 Н * м

Answer: 1 N * m = 2.5 (rounded to one decimal place).

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