Question

Q.) The motion of a particle is given by
x = A sin (wt) + cos (wt). The motion of the particle is ( here w corresponds to "Omega')
(a) not simple harmonic
(b) simple harmonic with amplitude
A + B
(c) simple harmonic with amplitude
(A +B)/2
(d) simple harmonic with amplitude
√[(A^2)+(B^2)].

Answer 1

Answer:

says that the displacement is equal to the amplitude of the variation, A, otherwise known as the maximum displacement, multiplied by sine omega-t, where omega is the angular frequency of the variation, and t is the time. This displacement can be in the x-direction or the y-direction, depending on the situation.For a simple harmonic oscillator, an object's cycle of motion can be described by the equation x ( t ) = A cos ⁡ ( 2 π f t ) x(t) = A\cos(2\pi f t) x(t)=Acos(2πft)x, left parenthesis, t, right parenthesis, equals, A, cosine, left parenthesis, 2, pi, f, t, right parenthesis, where the amplitude is independent of the ...Simple harmonic motion is typified by the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. A system that follows simple harmonic motion is known as a simple harmonic oscillator.