Question

5. A mass attached to a spring
undergoes a simple harmonic motion (SHM) on a frictionless
horizontal surface. Suppose you increase the amplitude of the SHM,
which of the following quantities ** DOES (DO)
NOT** increase? (There can be more than one answer)

1. The period of the SHM |
||

2. The maximum acceleration |
||

3. The frequency of the SHM |
||

4. The maximum kinetic energy |
||

5. The maximum spring potential energy |
||

6. The maximum speed. |

Answer #1

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 =

Consider a block attached to a horizontal spring that
undergoes simple harmonic motion as shown with an amplitude of A
=10 cm
If the kinetic energy of the block is increasing the
block must be
(a) moving away from the equilibrium
position
(b) moving towards the equilibrium position
c) at equilibrium position
(d) maximum displacement

A) A mass on a spring vibrates in simple harmonic motion at a
frequency of 4.0 Hz and an amplitude of 8.0 cm. If a timer is
started when its displacement from equilibrium is a maximum (hence
x = 8 cm when t = 0), what is the displacement of the mass when t =
3.7 s?
B) A mass of 4.0 kg, resting on a horizontal, frictionless
surface, is attached on the right to a horizontal spring with
spring...

A mass of 187 g is attached to a spring and set into simple
harmonic motion with a period of 0.286 s. If the total energy of
the oscillating system is 6.94 J, determine the following.
(a) maximum speed of the object
m/s
(b) force constant
N/m
(c) amplitude of the motion
m

A 301 g weight attached to a horizontal spring moves in simple
harmonic motion with a period of 0.260 s. The total mechanical
energy of the spring-mass system is 5.46 J.
(a)
What is the maximum speed of the weight (in m/s)?
m/s
(b)
What is the spring constant (in N/m)?
N/m
(c)
What is the amplitude of the motion (in m)?
m

4. A mass is attached to a spring with a force
constant of 40 N/m. The spring and mass are set to simple harmonic
motion with a period of 0.50 s on a frictionless, horizontal
surface.
a) What is the mass of the object?
b) What is the frequency of the
oscillations?
c) At which point will the object be at maximum
speed? Minimum speed?
d) At which point will the object be at max
acceleration? Minimum acceleration?

Question 1) Clearly solve:
* A 0.50 kg mass attached to a spring undergoes a simple
harmonic movement with an amplitude of 0.40 m and a period of 3.0
s.
Find
(a) the total energy of this oscillator
(b) the maximum speed of the dough
(c) the speed when the mass is at x = +0.20 m from the equilibrium
position
(d) the elastic potential energy stored in the spring when the mass
moves at half its maximum speed

A toy of mass 0.150 kg is undergoing simple harmonic motion
(SHM) on the end of a horizontal spring with force constant 300 N/m
. When the object is a distance 1.25×10?2 m from its equilibrium
position, it is observed to have a speed of 0.305 m/s .
a) What is the total energy of the object at any point of its
motion?
b) What is the amplitude of the motion?
c) What is the maximum speed attained by the...

A small block is attached to an ideal spring and is moving in
SHM on a horizontal, frictionless surface. The amplitude of the
motion is 0.240 mm and the period is 3.41 ss.
A) What is the acceleration of the block when x = 0.160 m?
B) What is the speed of the block when x = 0.160 m?

If a mass on a spring is in simple harmonic motion, which of the
following is true when the speed of the system is largest?
(A) Magnitude of
acceleration is at maximum and Potential
Energy is at maximum
(B) Magnitude of
acceleration is at minimum and Potential
Energy is at maximum
(C) Magnitude of
acceleration is zero and Potential
Energy is zero
(D) Magnitude of
acceleration is zero and Potential
Energy is at maximum
(E) Magnitude of
acceleration is at maximum and Potential Energy is
zero

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