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...
In a spring-mass-dashpot system, a force of 1 Newtons is
required to stretch the spring for .05 meters. A mass of 4 kg is
hung from the spring and also attached to a viscous damper that has
a damping constant 8 Newton-sec/m. The mass is suddenly set in
motion from its equilibrium location at t = 0 by an external force
of 8 cost Newtons with initial velocity 0 m/sec. Find the transient
solution and the steady state solution of...
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)...