Respuesta :

Answer:

Explanation:

The maximum speed of a body executing simple harmonic motion is given by

v = ωA

where, ω is the angular speed and A be the amplitude of oscillations

To increase the maximum speed double, either the angular speed be doubled or the amplitude of the oscillations be doubled.

ardni313

You can double the maximum speed of an object on a spring by :

  • -double the angular speed-ω
  • -double the amplitude-A
  • -made mass of the object 4 times bigger than the original mass

Further explanation

Simple Harmonic Motion is the motion of an object (repetitive movement) through its equilibrium point where the frequency of vibrations / oscillation per second is constant

The motion that occurs in the pendulum is one example of simple harmonic motion

Terms used:

  • Deviation (y): the object's distance from the equilibrium point
  • Amplitude (A): maximum deviation
  • frequency (f): number of vibrations at any time
  • Period (T): the amount of time in one vibration
  • x: displacement from the equilibrium
  • k: the spring constant
  • ω: angular speed
  • v: linear speed
  • m: mass of object

Equations used in Simple Harmonic Motion:

where

[tex]\displaystyle \omega = {\sqrt {\frac {k} {m}}}[/tex]

velocity v =

[tex]\displaystyle {v=\omega} {\sqrt {A ^ {2} -x ^ {2}}}}[/tex]

The maximum speed reached at equilibrium point:

v = ωA(x=0)

These two equations show that

  • 1. linear velocity is proportional to angular velocity
  • 2. the angular velocity is inversely proportional to the square root of the mass of the object

So you can double the maximum speed of an object on a spring

, if :

  • 1. angular velocity - ω 2 times faster
  • 2. the angular velocity - ω 2 times faster if the mass of the object - m is made 4 times bigger than the original mass
  • 3. the amplitude-A is made 2 times bigger (maximum displacement from the equilibrium position is made 2 times bigger, the deviation is greater)

Learn more  

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