Question

An oscillator follows Hooke’s law with a stiffness factor of 4.2
*×*× 106 N/m and an effective mass of 43.5 kg. It is set in
motion at *t* = 0. After 2.0 minutes, the amplitude is only
50% of what it was initially. (a) What is the value of
*b/2m* for the motion? (b) By what factor does the
frequency, *f*’, differ from *f*, the undamped
frequency?

Answer #1

An oscillator consists of a block attached to a spring (k = 125
N/m). At some time t, the position (measured from the system's
equilibrium location), velocity, and acceleration of the block are
x = 0.700 m, v = −12.0 m/s, and a = −128 m/s2.
(a) Calculate the frequency of oscillation. Incorrect: Your
answer is incorrect. Hz
(b) Calculate the mass of the block. kg (c) Calculate the
amplitude of the motion. m

An oscillator consists of a block of mass 0.900 kg connected to
a spring. When set into oscillation with amplitude 27.0 cm, it is
observed to repeat its motion every 0.400 s.
(a) Find the period.
s
(b) Find the frequency.
hz
(c) Find the angular frequency.
rad/s
(d) Find the spring constant.
N/m
(e) Find the maximum speed.
m/s
(f) Find the maximum force exerted on the block.
N
please show work and answer

#1: A mass of 6 kg is attached to a spring with k = 1500
N/m. It is stretched a distance of 0.5 m and is released so that it
oscillates in simple harmonic motion.
A) What is the frequency?
B) What is the energy of the oscillator?
C) What is the maximum velocity for the
oscillator?
#2: When at x = 0.3 m a simple harmonic
oscillator (k = 2000 N/m and m = 2 kg) has a velocity of...

A 3.70 kg mass is attached to a spring with a spring constant of
4.06 N/m
. It is initially
lifted away from its equilibrium position by 0.200 m in the
positive direction and
released from rest.
A)
What is the angular frequency for this oscillator?
B)
What is the time period for one oscillation for this
oscillator?
C)
Draw out the motion of the oscillator on the graph at the top of
the page. (
D)
What is the...

Question 1:A driven and damped mass-spring oscillator has ?=
14.0 g and ?= 1.80 N/m and ?=0.00200 kg/s. The driving frequency is
Ω=11.4 rad/s and the driving acceleration is ?=3.33 cm/s2. What is
the resulting oscillation amplitude?
A.1.56 cm , B.3.32 cm , C.8.20 cm , D.12.7 cm , E.17.7 cm
Question 2: A driven and damped mass-spring oscillator has ?=
14.0 g and ?= 1.80 N/m and ?=0.00200 kg/s. The driving frequency is
Ω=11.4 rad/s and the driving acceleration...

A particle with mass 2.61 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.923 m
and a duration of 129 s for 65 cycles of oscillation. Find the
frequency, ?, the speed at the equilibrium position, ?max, the
spring constant, ?, the potential energy at an endpoint, ?max, the
potential energy when the particle is located 68.5% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

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