Question

4. The oscillation of the bob (mass) attached to the string is always executed simple harmonic motion. Justify the statement?.

Answer #1

A simple pendulum is constructed from a string of negligible
mass. A mass (bob) 0.91kg that is essentially a point mass. The
string length is 0.65m. The pendulum is started by being released
from rest with an angle (respect to the vertical) of 5.87 degrees.
Use g=9.81 m/s^2.
a) the maximum amplitude (in degrees) of this motion
b)Angular frequency (in rad/s) of this motion
c) Period (in s) of this motion.

A mass of 0.12 kg is attached to a spring and set into
oscillation on a horizontal frictionless surface. The simple
harmonic motion of the mass is described by
x(t) = (0.42 m)cos[(14
rad/s)t].
Determine the following.
(a) amplitude of oscillation for the oscillating mass
(b) force constant for the spring
(c) position of the mass after it has been oscillating for one half
a period
(d) position of the mass one-third of a period after it has been
released...

A mass of 0.380 kg is attached to a spring and set into
oscillation on a horizontal frictionless surface. The simple
harmonic motion of the mass is described by
x(t) = (0.800 m)cos[(10.0
rad/s)t].
Determine the following.
(a) amplitude of oscillation for the oscillating mass
____m
(b) force constant for the spring
____ N/m
(c) position of the mass after it has been oscillating for one half
a period
______ m
(d) position of the mass one-sixth of a period...

1. Is a steel ball bouncing up and down on a horizontal steel
surface oscillation, simple harmonic oscillation or damped simple
harmonic oscillation?
2. A cork shaped as a right circular cylinder has density 500
kg/m^3. It is floating in water. If it is carefully displaced
vertically downward so that it is 80% underwater and released, is
the resulting motion oscillation, simple harmonic oscillation, or
damped simple harmonic oscillation (if we assume the water to be an
ideal fluid). Which...

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 mass of 0.520 kg is attached to a spring and set into
oscillation on a horizontal frictionless surface. The simple
harmonic motion of the mass is described by x(t) = (0.780
m)cos[(18.0 rad/s)t]. Determine the following. (a) amplitude of
oscillation for the oscillating mass (b) force constant for the
spring N/m (c) position of the mass after it has been oscillating
for one half a period (d) position of the mass one-third of a
period after it has been...

A metal ball attached to a spring moves in simple harmonic
motion. The amplitude of the ball's motion is 11.0 cm, and the
spring constant is 5.50 N/m. When the ball is halfway between its
equilibrium position and its maximum displacement from equilibrium,
its speed is 27.2 cm/s.
(a) What is the mass of the ball (in kg)?
(b) What is the period of oscillation (in s)?
(c) What is the maximum acceleration of the ball? (Enter the
magnitude in...

5. A diver on a diving board is undergoing simple harmonic
motion. Her mass is 57.5 kg and the period of her motion is 0.75 s.
The next driver is a male whose period of simple harmonic
oscillation is 1.09 s. What is his mass, in kilograms, if the mass
of the board is negligible?
M2=?

A plastic ball attached to a spring moves in simple harmonic
motion. The amplitude of the ball's motion is 11.5 cm, and the
spring constant is 6.00 N/m. When the ball is halfway between its
equilibrium position and its maximum displacement from equilibrium,
its speed is 22.7 cm/s.
What is the mass of the ball (in kg)?
Answer- kg
What is the period of oscillation (in s)?
Answer- s
What is the maximum acceleration of the ball? (Enter the...

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.

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