Solution to problem 17.3.24 from the collection of Kepe O.E.

17.3.24. It is necessary to determine the distance l2 from hinge O to the beginning of a homogeneous rod of length l1 = 1.5 m, at which the reaction in hinge O is zero. Initially, the rod is at rest on a horizontal plane, but begins to rotate under the influence of force F. The answer to this problem is 1.

Solution to problem 17.3.24 from the collection of Kepe O.?.

We present to your attention the solution to problem 17.3.24 from the collection of Kepe O.?. This is a digital product that you can purchase from our digital store. This problem is a classic problem in physics and can be used both for independent solution and for preparing for exams.

The problem is formulated as follows: it is required to determine the distance l2 from the hinge O to the beginning of a homogeneous rod of length l1 = 1.5 m, at which the reaction in the hinge O is zero. Initially, the rod is at rest on a horizontal plane, but begins to rotate under the influence of force F.

By purchasing this digital product, you receive a detailed solution to the problem with step-by-step comments and explanations. The solution is designed in beautiful html markup, which makes it convenient and easy to read on any device.

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Solution to problem 17.3.24 from the collection of Kepe O.?. is associated with determining the distance from the hinge O to the beginning of the rod, at which the reaction in the hinge is zero.

To solve the problem, it is necessary to use the laws of dynamics and kinematics of the rotational motion of a rigid body. The length of the rod l1 = 1.5 m and the force F applied to it, causing the initial rotation, are known.

The reaction in the hinge O is equal to zero if the moment of forces created by the weight of the rod is equal to the moment of force F applied to the rod. The moments of forces can be calculated using the moment of inertia of the rod and the angular acceleration.

Angular acceleration can be calculated using the moment equation: the moment of force F must be equal to the moment of gravity.

It is known that the moment of inertia of the rod is equal to (1/12)ml1^2, where m is the mass of the rod. The mass of the rod can be expressed in terms of its density and volume.

Thus, to solve the problem it is necessary to calculate the moment of inertia of the rod, the mass of the rod, angular acceleration and the distance l2 from the hinge O to the beginning of the rod.

After calculating all the necessary quantities, you can determine the distance l2 at which the reaction in the hinge O is equal to zero. Answer to the problem: l2 = 1 m.

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