Question

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 of the system.

Answer #1

And the amplitude of the motion is, A = 5 cm = 0.05 m.

1)

The period of the motion is given by

2)

The maximum speed is

3)

The velocity as a function of position is given
by

And so, at x = 3.5 cm = 0.035 m, the speed is given by

4)

The total energy is

An object of mass of 2.7 kg is attached to a spring with a force
constant of k = 280 N/m.
At t = 0, the object is observed to be 2.0 cm from its equilibrium
position with a speed of
55 cm/s in the -x direction. The object undergoes simple harmonic
motion “back and
forth motion” without any loss of energy.
(a) Sketch a diagram labeling all forces on the object and
calculate the maximum
displacement from equilibrium of...

A 6.5-kg mass is attached to an ideal 750-N/m spring. If the
system undergoes simple harmonic motion, what are the frequency,
angular frequency, and period of the motion?
The frequency, f =
The angular frequency, ω =
The period, T =
If the total mechanical energy of the system is 72 J, what are
the amplitude, maximum speed and maximum acceleration of the
motion?
The amplitude, A =
The maximum speed, vmax =
The maximum acceleration, amax =

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 0.150-kg cart is attached to an ideal spring with a force
constant of (spring constant) of 3.58 N/m undergoes simple harmonic
motion and has a speed of 1.5 m/s at the equilibrium position. At
what distance from the equilibrium position are the kinetic energy
and potential energy of the system the same?

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...

Part A
A block of unknown mass is attached to a spring with a spring
constant of 5.50 N/m and undergoes simple harmonic motion with an
amplitude of 10.0 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
28.0 cm/s.
(a) Calculate the mass of the block.
________kg
(b) Calculate the period of the motion.
________s
(c) Calculate the maximum acceleration of the block.
________m/s2
Part B
A block-spring...

An object with mass 2.8 kg is executing simple harmonic motion,
attached to a spring with spring constant 320 N/m . When the object
is 0.021 m from its equilibrium position, it is moving with a speed
of 0.65 m/s . Calculate the amplitude of the motion. Calculate the
maximum speed attained by the object.

An object with mass 3.8 kg is executing simple harmonic motion,
attached to a spring with spring constant 260 N/mN/m . When the
object is 0.017 mm from its equilibrium position, it is moving with
a speed of 0.65 m/s .
Calculate the amplitude of the motion.
Calculate the maximum speed attained by the object.

An object with mass 2.3 kg is executing simple harmonic motion,
attached to a spring with spring constant 330 N/m . When the object
is 0.020 m from its equilibrium position, it is moving with a speed
of 0.50 m/s . Part A Calculate the amplitude of the motion. Part B
Calculate the maximum speed attained by the object.

A block of unknown mass is attached to a spring with a spring
constant of 7.00 N/m and undergoes simple harmonic motion with an
amplitude of 11.5 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
25.0 cm/s.
(a) Calculate the mass of the block.
kg
(b) Calculate the period of the motion.
s
(c) Calculate the maximum acceleration of the block.
m/s2

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 53 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour 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