Question

Score on last try: 0 of 10 pts. See Details for more. > Next question You can retry this question below A 7-kg weight is attached to a spring with constant $k = 175 \text{ kg/s}^2$ and subjected to an external force $F(t) = 315 \sin(4t)$. The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for $t > 0$, with $y(t)$ measured positive upwards. $y(t) = 712 \sin(4t) + 75 \cos(4t)$

          Score on last try: 0 of 10 pts. See Details for more.
> Next question You can retry this question below
A 7-kg weight is attached to a spring with constant $k = 175 \text{ kg/s}^2$ and subjected to an external force $F(t) = 315 \sin(4t)$. The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for $t > 0$, with $y(t)$ measured positive upwards.
$y(t) = 712 \sin(4t) + 75 \cos(4t)$

Score on last try: 0 of 10 pts. See Details for more.
> Next question You can retry this question below
A 7-kg weight is attached to a spring with constant k = 175 kg/s^2 and subjected to an external force F(t) = 315 sin(4t). The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for t > 0, with y(t) measured positive upwards.
y(t) = 712 sin(4t) + 75 cos(4t)

Added by Sandra S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

04/21/2023

Step 1

The equation of motion for a mass-spring system is given by: m * d^2x/dt^2 + k * x = F(t) Where: m = mass of the weight x = displacement of the weight from equilibrium k = spring constant F(t) = external force applied to the weight In this case, the mass of Show more…

Show all steps

Thanks for your feedback!

Texts: Score on last try: 0 of 10 pts. See Details for more. Next question: You can retry this question below. A 7-kg weight is attached to a spring with a constant of 175 kg/s and subjected to an external force Ft = 315 sin(4t). The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for t = 7/12 sin(475) cos(4r).