An object of mass mm is oscillating with a period T. The position of the object as a function of time is given by the equation x(t)=Acosωt The maximum net force exerted on the object while it is oscillating has a magnitude F. Which of the following expressions is correct for the maximum speed of the object during its motion?
A. FT/(2pi)
B. FT/m
C. FT/(2πm)D. FT^2/(4π^2)
E. FT^2(4π^2m)

Respuesta :

The maximum speed of the oscillating object will be given by [tex]V_{max[/tex] = Aω

An oscillation is defined as the repetative periodic motion of any object about its mean or equilibrium position. Simple harmonic motion occurs under the influence of a restoring force proportionate to its displacement from the mean position, a particle or object moves back and forth about an equilibrium position.

In simple harmonic motion (SHM) the acceleration of the given system, and also the net force, is proportional to the displacement

The given equation is as follows:

x(t)=Acost

Maximum velocity occurs at the equilibrium position x=0

x(0)=Acos0

x(0)=A

Hence the maximum velocity will be  [tex]V_{max[/tex] = Aω

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