Solution to problem 20.2.20 from the collection of Kepe O.E.

20.2.20 Two rods 2 and 3 of equal length l = 0.5 m are connected by hinge A. It is necessary to determine the generalized force corresponding to the generalized coordinate at the moment of time when the angle θ = 25°, provided that the force F = 100 N, and the mass of load 1 is 5 kg. The answer is -20.0.

Solution to problem 20.2.20 from the collection of Kepe O..

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Solution to problem 20.2.20 from the collection of Kepe O.?. is associated with the determination of the generalized force corresponding to the generalized coordinate at the moment of time when the angle between the rods is 25°.

In this problem, there are two rods of length l=0.5 m, which are connected by hinge A. A load weighing 5 kg is attached to them. The force acting on the load is 100N.

It is necessary to determine the generalized force corresponding to the generalized coordinate at the moment of time when the angle between the rods is 25°.

Solving the problem begins with determining the kinematic parameters of the system. To do this, it is necessary to find the velocities and accelerations of the load, as well as the angular velocities and accelerations of the rods.

Then the Newton-Eyler equations should be applied to determine the dynamic parameters of the system. These equations make it possible to determine the generalized forces corresponding to the generalized coordinates.

In this problem, the generalized coordinate is the angle between the rods. The generalized force corresponding to this coordinate will be determined by solving the Newton-?Yler equations.

As a result of solving the problem, the answer will be: the generalized force corresponding to the generalized coordinate at the moment of time when the angle between the rods is 25° is equal to -20.0.

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