Question

A
mass weighing 20 pounds stretches a spring 6 inches. The mass is
initially released from rest from a point 4 inches below the
equilibrium position.

(a) Find the position x of the mass at the times t = pi/12,
pi/8, pi/6, pi/4, and 9pi/32 s. Use g = 32 ft/s^2 for the
acceleration due to gravity.

(b) what is the velocity of the mass when t = 3pi/16 s?

Answer #1

A mass weighing 20 pounds stretches a spring 6 inches. The mass
is initially released from rest from a point 4 inches below the
equilibrium position.
(a) Find the position x of the mass at the times t = π/12, π/8,
π/6, π/4, and 9π/32 s. (Use g = 32 ft/s2 for the acceleration due
to gravity.)

A mass weighing 16 pounds stretches a spring 1 feet. It is
initially released from a point 1 foot above the equilibrium
position with an upward velocity of 6 ft/s. Find the equation of
motion. Determine the amplitude, period, and frequency of motion.
(Use g = 32 ft/s2 for the acceleration due to gravity.)

A mass weighing 20 N stretches a spring 6 m. The mass
is initially released from rest from a point 8 m below
the equilibrium position.
(a) Find the position x of the mass
at the times
t = π/12, π/8, π/6, π/4, and
9π/32 s.
(Use
g = 9.8 m/s2
for the acceleration due to gravity.)

A mass weighing 16 pounds stretches a spring 8/3 feet. The mass
is initially released from rest from a point 3 feet below the
equilibrium position, and the subsequent motion takes place in a
medium that offers a damping force that is numerically equal to 1/2
the instantaneous velocity. Find the equation of motion x(t) if the
mass is driven by an external force equal to f(t) = 10 cos(3t).
(Use g = 32 ft/s^2 for the acceleration due to...

A mass weighing 16 pounds stretches a spring
8
3
feet.
The mass is initially released from rest from a point
3 feet
below the equilibrium position, and the subsequent motion takes
place in a medium that offers a damping force that is numerically
equal to
1
2
the
instantaneous velocity. Find the equation of motion
x(t)
if
the mass is driven by an external force equal to
f(t) = 20 cos(3t).
(Use
g =
32 ft/s2
for
the acceleration...

A mass weighing 16 pounds stretches a spring 8 3 feet. The mass
is initially released from rest from a point 3 feet below the
equilibrium position, and the subsequent motion takes place in a
medium that offers a damping force that is numerically equal to 1 2
the instantaneous velocity. Find the equation of motion x(t) if the
mass is driven by an external force equal to f(t) = 10 cos(3t).
(Use g = 32 ft/s2 for the acceleration...

a
mass weighing 24 pounds, attached to the end of a spring, stretches
it 4 inches. initially, the mass is released from rest from a point
of 2 inches above the equilibrium position. find the equation of
motion. (g= 32 ft/s^2)

A mass weighing 24 pounds attached to the end of the spring and
stretches it 4 inches. The mass is initially released from rest
from a point 3 inches above the equilibrium position with a
downward velocity of 2 ft/sec.
Find the equation of the motion?

A 4-foot spring measures 8 feet long after a mass weighing 8
pounds is attached to it. The medium through which the mass moves
offers a damping force numerically equal to
2
times the instantaneous velocity. Find the equation of motion if
the mass is initially released from the equilibrium position with a
downward velocity of 9 ft/s. (Use
g = 32 ft/s2
for the acceleration due to gravity.)
x(t) =
Find the time at which the mass attains its...

A 4-foot spring measures 8 feet long after a mass weighing 8
pounds is attached to it. The medium through which the mass moves
offers a damping force numerically equal to
sqrt(2) times the instantaneous velocity. Find the equation of
motion if the mass is initially released from the equilibrium
position with a downward velocity of 9 ft/s. (Use
g = 32 ft/s2 for the acceleration
due to gravity.)
x(t) =
Find the time at which the mass attains its...

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