[T] After a certain distance D has passed, the gravitational effect of Earth becomes quite negligible, so we can approximate the force function F ( d ) = { − m k d 2 i f d < D 10 , 000 i f d ≥ D by. Find the necessary condition D such that the force function remains continuous.
[T] After a certain distance D has passed, the gravitational effect of Earth becomes quite negligible, so we can approximate the force function F ( d ) = { − m k d 2 i f d < D 10 , 000 i f d ≥ D by. Find the necessary condition D such that the force function remains continuous.
[T] After a certain distance D has passed, the gravitational effect of Earth becomes quite negligible, so we can approximate the force function
F
(
d
)
=
{
−
m
k
d
2
i
f
d
<
D
10
,
000
i
f
d
≥
D
by. Find the necessary condition D such that the force function remains continuous.
[25] An undamped spring-mass system has a mass that weighs 48 lb and a spring constant
0.5 lb/in. The mass is suddenly set in motion at t = 0 by an external force of 3 cos(2t) lb.
Assume that the gravitational acceleration is g = 32 ft/s?.
Find the position of mass as a function of time t.
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY