Solve the problem of un-damped forced vibrations of a spring in the case where the forcing function is f(t)=A sin t. D.E associated with the problem is (m frac{d^2 y}{dt^2} + ky = f(t) ), with initial conditions as y(0)=y0 and y (0)=y1 and assume 2 = k/m, =A/m.

Question

Solve the problem of un-damped forced vibrations of a spring in the case where the forcing function is f(t)=A sin  t. D.E associated with the problem is  (m  frac{d^2 y}{dt^2} + ky = f(t) ), with initial conditions as y(0)=y0 and y (0)=y1 and assume  2 = k/m,  =A/m.

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

y = y0 cos u2061 t + y1 sin u2061 t +   (  frac{  cos  t}{- ^2+ ^2}  )

TuteeHUB · Answer

y = y0 cos u2061 t + (y1/ )sin u2061 t +   (  frac{cos  t}{ ^2+ ^2}  )

TuteeHUB · Answer

y = y0 cos u2061 t + (y1  )sin u2061 t +  (  frac{sin  t}{ ^2+ ^2}  )

TuteeHUB · Answer

y = y0 cos u2061 t + (y1/ )sin u2061 t +   (  frac{  sin  t}{- ^2+ ^2}  )

1.	Solve the problem of un-damped forced vibrations of a spring in the case where the forcing function is f(t)=A sin t. D.E associated with the problem is (m frac{d^2 y}{dt^2} + ky = f(t) ), with initial conditions as y(0)=y₀ and y (0)=y₁ and assume ² = k/m, =A/m.
A.	y = y<sub>0</sub> cos u2061 t + y<sub>1</sub> sin u2061 t + ( frac{ cos t}{- ^2+ ^2} )
B.	y = y<sub>0</sub> cos u2061 t + (y<sub>1</sub>/ )sin u2061 t + ( frac{cos t}{ ^2+ ^2} )
C.	y = y<sub>0</sub> cos u2061 t + (y<sub>1</sub> )sin u2061 t + ( frac{sin t}{ ^2+ ^2} )
D.	y = y<sub>0</sub> cos u2061 t + (y<sub>1</sub>/ )sin u2061 t + ( frac{ sin t}{- ^2+ ^2} )
Answer» E.

Solve the problem of un-damped forced vibrations of a spring in the case where the forcing function is f(t)=A sin t. D.E associated with the problem is (m frac{d^2 y}{dt^2} + ky = f(t) ), with initial conditions as y(0)=y₀ and y (0)=y₁ and assume ² = k/m, =A/m.

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