Solution to problem 9.6.8 from the collection of Kepe O.E.

9.6.8 Angular speed of the drum? = 1 rad/s.

It is necessary to determine the speed of point M of a stepped roller that rolls without sliding. The radii of the steps are r = 0.1 m, and the radii of their tops are R = 0.3 m.

Answer:

Since the roller rolls without sliding, the speed of point M is equal to the product of its radius and the angular speed of the drum:

v_M = r·ω

Where

• v_M - speed of point M;
• r is the radius of the step;
• ω is the angular velocity of the drum.

Substituting the values, we get:

v_M = 0.1 × 1 = 0.1 m/s.

Answer: 0.05

Solution to problem 9.6.8 from the collection of Kepe O..

This digital product is the solution to problem 9.6.8 from Kepe O.'s collection of physics problems. Now you can easily and quickly get the solution to this problem without having to look for it in a textbook or on forums. The solution was carried out by a qualified specialist and checked for accuracy.

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This product is a solution to physical problem 9.6.8 from the collection of problems in physics by Kepe O.?. The task is to determine the speed of point M on a stepped roller, which rolls without sliding, at the angular speed of the drum ? = 1 rad/s and the radii of the steps r = 0.1 m and the radii of their tops R = 0.3 m. The solution was carried out by a qualified specialist and checked for correctness.

To solve the problem, the non-sliding method was used, and in the solution everything was analyzed step by step and clearly explained. It provides all the necessary formulas and explanations, which will help you better understand the physical processes described in the problem. The solution is designed in a beautiful html format, which makes it easy to read and allows you to quickly find the information you need.

By purchasing this digital product, you save your time and get a high-quality solution to the problem from a professional. You can use it for exam preparation, self-study, or simply to expand your knowledge of physics.

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Solution to problem 9.6.8 from the collection of Kepe O.?. is associated with determining the speed of point M of a stepped roller rolling without sliding, at a known angular speed of the drum? = 1 rad/s and step radii r = 0.1 m and R = 0.3 m. To solve the problem, it is necessary to use a formula connecting the linear speed of a point on the roller with the angular speed of the drum and the radii of the steps.

According to this formula, the linear speed of point M on the roller step is equal to the product of the angular speed of the drum and the radius of the step, that is, v = ?r. For the first step, the radius is r = 0.1 m, so its linear speed is v1 = 1 rad/s * 0.1 m = 0.1 m/s.

For the second step, the radius is R = 0.3 m, so its linear speed is v2 = 1 rad/s * 0.3 m = 0.3 m/s.

To find the speed of point M on a stepped roller, it is necessary to take into account that it is the sum of the speeds at each step. Thus, the speed of point M is equal to the sum of the velocities at the first and second steps, that is, v = v1 + v2 = 0.1 m/s + 0.3 m/s = 0.4 m/s.

So, the answer to problem 9.6.8 from the collection of Kepe O.?. equal to 0.4 m/s.

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