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Simple Harmonic Motion
Assignment Acire
Analyzing the Motion of a Spring
At which point(s) is the net force the greatest?
At which points) is the net force zero?
muman

Respuesta :

skyluke89

- The net force is greatest at the position of maximum displacement

- The net force is zero when at the equilibrium position

Explanation:

The motion of a spring is a Simple Harmonic Motion, in which the displacement of the end of the spring is given by a periodic function of the form

[tex]x=Asin (\omega t)[/tex]

where A is the amplitude (the maximum displacement), and [tex]\omega[/tex] the angular frequency of the motion.

We can analyze the net force acting on the spring by looking at Hooke's law:

[tex]F=kx[/tex]

where

F is the net force

k is the spring constant

x is the displacement

From the equation, we notice immediately that:

  • The net force is the greatest when the displacement x is the greates, so at the position in which the spring has maximum compression or stretching
  • The net force is zero when the displacement x is zero, so when the spring crosses the equilibrium position

Learn more about forces:

brainly.com/question/8459017

brainly.com/question/11292757

brainly.com/question/12978926

#LearnwithBrainly

Answer:

An illustration of a mass on a vertical spring with a transverse wave showing the position of the mass on the spring will make a transverse wave shape if bouncing up and down and moving horizontally. The shortest spring has the mass at the top of each crest and are labeled A and E respectively. The position where the mass in in the trough of the transverse wave would be labeled C and stretches the spring the farthest. The middle length springs has masses where the equilibrium of the material of the medium containing the transverse wave would be at the equilibrium of the material would be and are labeled B and D.

At which point(s) is the net force the greatest?

A,C, and E

At which point(s) is the net force zero?

B and D

Explanation:

Got it from engenuity

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