4.2. Mechanical work

Lecture



The change of the mechanical movement and energy of the body occurs in the process of power interaction of this body with other bodies. To quantify this process in mechanics, the concept of work done by force is introduced.

4.2. Mechanical work

If the force in question 4.2. Mechanical work is constant, and the body to which it is applied, moves progressively and straightforwardly, then the work done by force 4.2. Mechanical work with the passage of the body path 4.2. Mechanical work call a quantity

4.2. Mechanical work (4.1)

where a is the angle between the force 4.2. Mechanical work and the direction of body movement.

4.2. Mechanical work

Work is a scalar. If the force vector and displacement vector form an acute angle i.e. 4.2. Mechanical work then 4.2. Mechanical work , if a 4.2. Mechanical work then 4.2. Mechanical work i.e. the force acting perpendicular to the movement of the body does not perform work.

In the general case, the body can move in an arbitrary, rather complicated way (Fig. 4.2). Select the elementary part of the path 4.2. Mechanical work on which the force can be considered constant and the displacement is rectilinear. Elementary work on this site is equal to

4.2. Mechanical work (4.2)

Complete work on the way 4.2. Mechanical work determined by the integral

4.2. Mechanical work (4.3)

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Physical foundations of mechanics

Terms: Physical foundations of mechanics