Question

A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed
from its rest state by the force F(t) = 160 cos(10t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
a. Determine the spring constant k.
k= 1000
Newtons / meter
b. Formulate the initial value problem for y(t), where y(t) is the displacement of the object from its equilibrium rest state, measured positive in the downward direction. (Give your
answer in terms of y, y', y", t.)
Differential equation:
help (equations)
Initial conditions: y(0)
and y'(0)

Answer 1

Answer:

Curl call. A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t=0, the resulting mass-spring system is disturbed from its rest state by the force F(t)=50cos(10t).