A force of 640 newtons stretches a spring 4 meters. A mass of 40
kilograms is...
A force of 640 newtons stretches a spring 4 meters. A mass of 40
kilograms is attached to the end of the spring and is initially
released from the equilibrium position with an upward velocity of
10 m/s. Find the equation of motion.
PLEASE ANSWER ALL 3 WILL THUMBS UP
1) A force of 540 newtons stretches a spring 3 meters. A mass of
45 kilograms is attached to the end of the spring and is initially
released from the equilibrium position with an upward velocity of 8
m/s. Find the equation of motion.
x(t)=? m
2) Find the charge on the capacitor and the current in an
LC-series circuit when L = 0.1 h, C = 0.1 f, E(t) = 100
sin(γt)...
A force of 720 Newton stretches a spring 4 meters. A mass of 45
Kilograms is attached to the spring and is initially released from
the equilibrium position with an upward velocity of 6 meters per
second. Find an equation of the motion.
1)A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg
is attached to the spring and set into motion in a medium that
offers a damped force equal 4 times the velocity. If the mass is at
stating from 0.5 m above the equilibrium position with a downward
initial velocity of sec/2.0m a) Find the equation for the position
if the system is exerted by an external force of f(t)=4cos(t)
b)Estimate the position of the...
A mass weighing 16lbs stretches a spring 4 feet. The medium
offers a damping force that is numerically equal to 3 times the
instantaneous velocity. The mass is intially released from rest
from a point 3 feet above the equilibrium position. Find the
equation of motion. Also, will the mass pass through the
equilibrium position? If yes, find the time when it occurs.
a mass weighing 10 newtons stretches a spring 10/49m. the mass
is releases from 6 m below equilibrium with a downward velocity of
42 m/s in a median which offers a damping force numerically equal
to 14 times the instantaneous velocity. use g=10m^2/s. (a) Find the
equation of motion. y(t) = m. (b) find the time when the spring
reaches its maximum displacement.
A force of 400N stretches a spring 2m. A mass of 50kg is
attached to the end of the spring and put in a viscous fluid with a
damping force that is 100 times the instantaneous velocity. The
mass is released from the equilibrium position with a downward
velocity of 1m/s.
(a) Determine the natural frequency of the system.
(b) Determine the level of damping in the system.
(c) Write the differential equation of motion
(d) Solve the system and...
A force of 9 N stretches a spring 1 m. A mass weighing 1.96 N is
attached to the spring, and the system is then immersed in a medium
that offers a damping force numerically equal to 1.2 times the
instantaneous velocity. (a) Find the equation of motion if the mass
is initially released from rest from a point 1 m above the
equilibrium position. x(t) = m (b) Express the equation of motion
in the form x(t) = Ae−λt...
A mass that weighs 32 lb stretches 4/3 ft of a spring. The
mass
is initially released from rest from a point 1 ft below the
equilibrium
position, and the subsequent movement takes place in a
medium
that offers a damping force equal to the instantaneous
velocity.
Using differential equations find the position of the mass at time
t
if an external force equal to f (t) = 10cos (t) is applied to the
mass
A spring of negligible mass stretches 3.00 cm from its relaxed
length when a force of 6.60 N is applied. A 0.400-kg particle rests
on a frictionless horizontal surface and is attached to the free
end of the spring. The particle is displaced from the origin to x =
5.00 cm and released from rest at t = 0. (Assume that the direction
of the initial displacement is positive. Use the exact values you
enter to make later calculations.) (a)...
(1 point) A mass
weighing 4 lb4 lb stretches a spring 6 in.6 in.
The mass is displaced 8 in8 in in the downward direction from its
equilibrium position and released with no initial velocity.
Assuming that there is no damping, and that the mass is acted on by
an external force of 5cos(7t)5cos(7t) lb,
solve the initial value problem describing the motion of the
mass.
For this problem, please remember to use English units: ft, lb,
sec.ft, lb, sec....