Question

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?

Answer #1

A 5.00 kg mass is attached to a spring on a horizontal
frictionless surface. The elastic constant of the spring is 30.8
N/m. If the mass is 28.5 cm right (+) of the equilbrium point and
moving right (+) at speed 6.1 m/s, what is the initial phase of the
oscillation?

3. Consider a mass m attached to a horizontal spring with spring
constant k. Suppose the mass is pulled a distance A from
the equilibrium position.
a. Find the total energy at the amplitude in terms of k and
A
b. Using conservation of energy, find an expression for the
maximum speed at the equilibrium position in terms of k, A and
m

An 81.9 g mass is attached to a horizontal spring with a spring
constant of 3.5 N/m and released from rest with an amplitude of
39.1 cm. What is the speed of the mass when it is halfway to the
equilibrium position if the surface is frictionless? Answer in
units of m/s.

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...

If a 1 kg object on a horizontal, frictionless surface is
attached to a spring, displaced, and then released, it will
oscillate. If it is displaced 0.120 m from its equilibrium position
and released with zero initial speed. After 0.8 s its displacement
is found to be 0.120 m on the opposite side, and it has passed the
equilibrium position once during this interval. Find the amplitude,
the period, the frequency, the angular frequency and the spring
constant.

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

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 with mass 0.382 kg is attached to a horizontal spring
with spring constant k = 1.28 N/m on a frictionless surface. The
block is pulled 0.753 m from equilibrium and released. (a) What is
the amplitude of the block's motion? (b) What is its period? (c)
How long after release does the block take to first return to its
equilibrium position? (d) What is its speed at that position? {b.
3.43 s, d. 1.38 m/s}
a) A=0.753m
b)...

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 block is attached to a horizontal spring with a spring
constant of 5.0 kg s?
2.
The block is displaced
0.5m from equilibrium and released (see the figure below). The
block executes simple harmonic motion
with a period of 4.0 s .Assuming that the block is moving on a
frictionless surface, and the spring is of
negligible mass.
a. Calculate the mass of the block?
b. Determine the velocity of the block 1.0 seconds after it is
released?
The...

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