In: Physics
DIFFERENTIAL EQUATIONS:
1. A body with a weight of 3.5 grams force hangs from a spring
stretching it 3.21 centimeters.
Initially the body starts from rest 3.4 centimeters below its
equilibrium position.
The medium in which the body moves offers a resistance force to
movement that is numerically equal to 1/8 of its instantaneous
speed.
Knowing that there is an external force, changing in time, which is
defined by the formula: f (t) = 7cos (t) grams force.
Find the position in centimeters of the body after 5 seconds. Take
positive above the equilibrium position. Consider positive downward
and negative upward magnitudes