Question

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?

Answer #1

where, \phi is the initial phase.

Now, the angular velocity is

So, we calculate the velocity as

So, at the initial time t =0 , taking the ratio of the position and
the velocity, we get

So,

Now putting the given values, x(0) = 28.5 cm = + 0.285 m , and v(0)
= + 6.1 m/s, we get

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 4.00 kg mass on a frictionless horizontal surface is
attached to a spring. The other end of the spring is fixed to a
wall. The spring constant is 6.00 N/m. The mass is moved to the
right, stretching the spring by 12.0 cm, and then released from
rest.
a) Find the frequency of the motion in Hz.
b) Find the force when x = 6.00 cm.
c) Find the time when x = 6.00 cm.
d) Find the velocity...

A 0.200 kg mass attached to a horizontal spring is displaced
15.4 cm from rest and then released. If the mass oscillates 8.00
times in 19.3 s, what is the spring constant in the spring? 0.0344
N/m 1.36 N/m 6.78 N/m 0.0212 N/m
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...

A 0.58 kg mass is attached to a light spring with a force
constant of 31.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium position
m/s...

A 0.68 kg mass is attached to a light spring with a force
constant of 36.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium...

On a horizontal, frictionless surface, a 0.50-kg mass is at rest
at x=0, attached to a wall by a spring whose spring constant is 5.0
N/m. I throw a 0.10-kg lump of clay at the mass with speed 3.0 m/s,
and at time t=0 the lump hits the mass and sticks to it.
(a) Where and when does the block first come
to a stop?
(b) How fast is the block moving when it gets back to x=0?

. A block of mass 2.00 kg is attached to a horizontal spring
with a force constant of 500 N/m. The spring is stretched 5.00 cm
from its equilibrium position and released from rest. Use
conservation of mechanical energy to determine the speed of the
block as it returns to equilibrium
(a) if the surface is frictionless
(b) if the coefficient of kinetic friction between the block and
the surface is 0.350

A 0.24 kg mass is attached to a light spring with a force
constant of 30.9 N/m and set into oscillation on a horizontal
frictionless surface. If the spring is stretched 5.0 cm and
released from rest, determine the following.
(a) maximum speed of the oscillating mass
b) speed of the oscillating mass when the spring is compressed
1.5 cm
(c) speed of the oscillating mass as it passes the point 1.5 cm
from the equilibrium position
(d) value of...

A 11.1 kg object on a horizontal frictionless surface is
attached to a spring with k = 1300 N/m. The object is
displaced from equilibrium 55.0 cm horizontally and given an
initial velocity of 12.0 m/s back toward the equilibrium position.
What are (a) the motion's frequency,
(b) the initial potential energy of the
block-spring system, (c) the initial kinetic
energy, and (d) the motion's amplitude?

6) A mass of 3 kg is attached to a massless spring with
a force constant 500 N/m. The mass rests on a horizontal
frictionless surface. The system is compressed a distance of 30 cm
from the springs initial position and then released. The momentum
of the mass when the spring passes its equilibrium position
is?
8660.25m/s
Is this right

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 33 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago