Question

A mass of 0.5 kg is attached to a horizontal spring with k=12 N/m.. At t=0, the spring has a stretch of 3 cm and the mass moves at 0.5 m/s. Assume no friction.

(a) What is the amplitude (max stretch) of the oscillation? (b) What is the maximum speed of the mass? (c) What is the frequency of the oscillation, in rad/s?

Answer #1

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 horizontal spring-mass system has low friction, spring
stiffness 200 N/m, and mass 0.5 kg. The system is released with an
initial compression of the spring of 9 cm and an initial speed of
the mass of 3 m/s.
(a) What is the maximum stretch during the motion?
_ m
(b) What is the maximum speed during the motion?
_m/s
(c) Now suppose that there is energy dissipation of 0.02 J per
cycle of the spring-mass system. What is the...

A mass of 0.5 kg is attached to a spring whose k=8000 N/m. The
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level friction-free air track and is initially at rest. A second
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elastic collision with the mass attached to the spring; thereafter
the oscillating
system vibrates with amplitude of 0.5 m. If the incident mass is
0.4 kg, what was its
incident speed?

1.A 1.10 kg block sliding on a horizontal frictionless surface
is attached to a horizontal spring with k = 490 N/m. Let
x be the displacement of the block from the position at
which the spring is unstretched. At t = 0 the block passes
through x = 0 with a speed of 3.40 m/s in the positive
x direction. What are the (a) frequency
and (b) amplitude of the block's motion
2.A vertical spring stretches 13 cm when a...

A 0.200 kg mass attached to a horizontal spring is displaced
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What is the time constant of an oscillator if its amplitude of
oscillation is decreased to 32.3% of its original value in 8.50
s?
7.52 s 15.0 s 3.76 s 1.22 s
A ball is attached to...

8. A 0.40-kg mass is attached to a spring with a force constant
of k = 387 N/m, and the massâ€“spring system is set into
oscillation with an amplitude of A = 3.7 cm. Determine the
following.
(a) mechanical energy of the system
J
(b) maximum speed of the oscillating mass
m/s
(c) magnitude of the maximum acceleration of the oscillating
mass
m/s2

A spring-mass system consists of a 0.5 kg mass attached to a
spring with a force constant of k = 8 N/m. You may neglect the mass
of the spring. The system undergoes simple harmonic motion with an
amplitude of 5 cm. Calculate the following: 1. The period T of the
motion 2. The maximum speed Vmax 3. The speed of the object when it
is at x = 3.5 cm from the equilibrium position. 4. The total energy
E...

A mass of 0.5 kg is attached to the end of a massless spring of
spring constant 0.40 N/m. It is released from rest from an extended
position. After 0.6 s, the speed of the mass is measured to be 2.5
m/s. What is the amplitude of oscillation?
What is the total energy (relative to the mass at rest in the
unextended position) contained in this system?

#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 0.400-kg object
attached to a spring with a force constant of 8.00 N/m vibrates in
simple harmonic motion with an amplitude of 12.2
cm.
the maximum value of its speed is
54.6
WHAT IS THE MAXIMUM VALUE OF IT'S
ACCELERATION?
QUESTION 2
A 45.0-g object
connected to a spring with a force constant of 40.0
N/m oscillates with an amplitude of 7.00
cm on a frictionless, horizontal
surface.
the total energy of
the system is 98
the speed of...

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