Solution to problem 9.6.20 from the collection of Kepe O.E.

On 9.6.20, the task was set to determine the angular velocity of the rod of a mechanism in which pulley 1 of radius r = 0.1 m is connected to rod 2 with a length of 0.25 m through rod AB. For a given position of the mechanism, where the distance O1O2 = 0.45 m and the rotation speed of pulley 1 is 120 rpm, it is necessary to find the angular velocity of the rod. Answer: 2.28.

Solution to problem 9.6.20 from the collection of Kepe O.?.

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The digital product that we offer is the solution to problem 9.6.20 from the collection of Kepe O.?. The task is to determine the angular velocity of the rod of a mechanism in which pulley 1 of radius r = 0.1 m is connected to rod 2 with a length of 0.25 m through rod AB. For a given position of the mechanism, where the distance O1O2 = 0.45 m and the rotation speed of pulley 1 is 120 rpm, it is necessary to find the angular velocity of the rod.

The solution to the problem was completed by a professional teacher and checked for correctness. After payment you will instantly receive access to the file with the solution to the problem. The solution is correct and will help you understand the topic better if you are studying mechanics and solving problems on this topic.

Our digital product gives you the opportunity to purchase a high-quality solution to problem 9.6.20 from the collection of Kepe O.?. for only XX rubles and make your learning mechanics easier. Don't miss your chance to purchase this product and gain access to a professional solution to the problem.

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Solution to problem 9.6.20 from the collection of Kepe O.?. connected to a mechanism consisting of pulley 1 of radius r = 0.1 m, rod 2 0.25 m long and rod AB. The joint between the pulley and the rod forms point O1, and point O2 is located on rod 2 so that the distance O1O2 is 0.45 m.

For a given position of the mechanism, it is necessary to determine the angular velocity of the rod. From the problem conditions it is known that the rotation speed of pulley 1 is 120 rpm.

To solve the problem, you can use the formula for the linear speed of a body moving in a circle: v = ωr,

where v is linear speed, ω is angular speed, r is the radius of the circle.

It is also known that the O1O2 distance is 0.45 m.

Since the pulley and the rod are connected by a hinge joint, the angle between the rod and the horizontal plane is equal to the angle between the radius of the pulley and the rod.

To solve the problem, it is necessary to determine the angle between the rod and the horizontal plane, and then calculate the linear velocity of point O2 on the rod using the formula v = ωr.

The angle between the rod and the horizontal plane can be found using the cosine theorem for triangle O1O2B, where B is the intersection point of the rod and rod.

After finding the angle, you can calculate the linear velocity of point O2 on the rod using the formula v = ωr.

Having solved the problem, we get the answer 2.28.

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