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*2–20. determine the angle θ for connecting member a to the plate so that the resultant of f a fa and f b fb is directed along the positive x axis. also, what is the magnitude of the resultant force?

Sagot :

The angle θ for connecting member a to the plate so that the resultant of f a fa and f b fb is directed along the positive x axis are:

Fa=8sin54.93 in x direction

Fb=6sin40 in x direction

Resultant=10.4

What is magnitude?

The term magnitude is defined as the “how much of a quantity”. For instance, magnitude can be used for explaining the comparison between the speeds of a car and a bicycle. It can also be used to explain distance travelled by an object or to explain the amount of an object in terms of its magnitude.

In Physics, magnitude is defined as maximum extent of the size and the direction of an object. Magnitude is used as a common factor in the vector and scalar quantities. By definition, we know that the scalar quantities are those quantities that have magnitude only. Whereas the vector quantities are those quantities that have both magnitude and direction.

There are the different ways in which magnitude can be used. Some of them are:

  • Magnitude of the earthquake
  • Magnitude of the charge on an electron
  • Magnitude of the force
  • Magnitude of the displacement
  • Magnitude of the gravitational force.

The magnitude of a number, unlike magnitude of a physical quantity, is not relative to a scale or set of units: the magnitude of 100 is 100. By contrast, magnitude of a ruler is 12 in inches but is 30.48 in centimeters. Outside of the pure mathematics one has to be careful to specify the units in which the magnitude of some quantity is measured.

Therefore magnitude of resultant is:

=[tex]\sqrt{8sin54+936sin40}[/tex]

=10.4

To know more about force visit: https://brainly.com/question/13191643

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