Question

A 4kg mass is attached to a spring with stiffness 80 N/m. The damping constant for the system is 16sqrt(5) N-sec/m. If the mass is pulled 10 cm to the right of equilibrium and given an initial rightward velocity of 4 m/sec, what is the maximum displacement from equilibrium that is will attain?

The maximum displacement is [ ] meters.

Type an exact answer, using radicals as needed

Answer #1

A 5-kg mass is attached to a spring with stiffness 225 N/m. The
damping constant for the system is 30√5 N-sec/m. If the
mass is pulled 20 cm to the right of equilibrium and given an
initial rightward velocity of 3 m/sec, what is the maximum
displacement from equilibrium that it will attain?
(Type an exact answer, using radicals as needed.)

A 4 kg mass is attached to a spring with stiffness 48 N/m. The
damping constant for the spring is 16\sqrt{3} N - sec/m. If the mas
is pulled 30 cm to the right of equilibrium and given an initial
rightward velocity of 3 m/sec, what is the maximum displacement
from equilibrium that it will attain?

A 1/4-kg mass is attached to a spring with stiffness 52 N/m.
The damping constant for the system is 6 N-sec/m. If the mass is
moved 3/4 m to the left of equilibrium and given an initial
rightward velocity of 1 m/sec, determine the
equation of motion of the mass y(t) =
and give
its damping factor,
quasiperiod, and
quasifrequency.

A 2kg mass is attached to a spring with stiffness k = 8π2N/m.
The mass is displaced 1m to the right of the equilibrium and given
a velocity of 2π m/sec to the right. No damping and no external for
are assumed.
(a) Find the period and the frequency of the motion (with
appropriate units).
(b) Write the displacement y(t) of the mass in phase-amplitude
form (every computation must be shown).
(c) What is the maximum displacement from the equilibrium...

An object with mass 2.5 kg is attached to a spring with spring
stiffness constant k = 270 N/m and is executing simple harmonic
motion. When the object is 0.020 m from its equilibrium position,
it is moving with a speed of 0.55 m/s.
(a) Calculate the amplitude of the motion. ____m
(b) Calculate the maximum velocity attained by the object.
[Hint: Use conservation of energy.] ____m/s

1. A mass 0.15 kg is attached to a horizontal spring with spring
constant k = 100 N/m moves on a horizontal surface. At the initial
moment in time, the mass is moving to the right at rate of 3.5 m/s
and displacement of 0.2 m to the right of equilibrium.
a) What is the angular frequency, period of oscillation, and
phase constant?
b) What is the amplitude of oscillation (Hint: Use energy.) and
maximum speed of the spring-mass system?

A 10.2 gram mass is attached to an ideal spring with a spring
constant 30 N/m. The mass is displaced 5.55cm from equilibrium
position. What is the maximum velocity of the mass in m/s? Answer
to the nearest hundredth. For example 4.26784 m/s would be
4.27m/s

A block-spring system consists of a spring with constant
k = 445 N/m attached to a 2.25 kg block on a frictionless
surface. The block is pulled 4.10 cm from equilibrium and released
from rest. For the resulting oscillation, find the amplitude,
angular frequency, frequency, and period. What is the maximum value
of the block's velocity and acceleration?

A block of mass m = 0.53 kg attached to a spring with force
constant 119 N/m is free to move on a frictionless, horizontal
surface as in the figure below. The block is released from rest
after the spring is stretched a distance A = 0.13 m. (Indicate the
direction with the sign of your answer. Assume that the positive
direction is to the right.)
The left end of a horizontal spring is attached to a vertical
wall, and...

Consider a mass is attached to an ideal spring and is moving in
SHM. No damping or frictions are considered
The system has an angular frequency of 20rad/s and spring
constant of 2N/m (consider the shift angle is zero)
Determine the mass of the weight?
Write down the acceleration equation in respect of time
Sketch on the same axis the displacement, velocity and
acceleration

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