Question

What motion inside the mechanical clock represents simple harmonic motion? Can you describe this in a little more detail?

Answer #1

**Mechanical clocks are also called as grandfather
clocks.**

**They work by having a weight connected to a string which
is called as pendulum, which is wrapped around a
shaft.**

**The pendulum of the grandfather clock is the
oscillator.**

**The weights always try to pull down on the gear due to
gravity. The pully swings and the weights lowers. From the
conservation of energy the PE gets transerred to the KE of motion
of the pendulum. This keeps going the pendulum until and unless
some friction or other unbalanced force comes into the
picture.**

**The length of pendulum is set accordingly to have a
period of 1 s.**

1a) Describe in detail the three conditions needed for a system
to have simple harmonic motion. for simple harmonic motion to occur
how must the restoring force vary with the position of the
oscillating body?
1b) How do you determine the angular frequency w, the linear
frequency f and the period T based on the system's differential
equation of motion?

For an object with simple harmonic motion;
a) What can you say about its speed, acceleration and kinetic
energy at equilibrium?
b) For simple harmonic motion given by x = 3,8 cos (5πt / 4 + π / 6), what is its amplitude, frequency, position and speed for t = 0?

if the amplitude of the simple harmonic motion of a mass-spring
system is doubled, the mechanical energy of the system:
a. decreases by a factor of 2
b. increases by a factor of 2
c. increases by a factor of sqrt(2)
d. increases by a factor of 4
e. decreases by a factor of 4.
f. decreases by a factor of sqrt(2)
g. does not change

ii. In what way is Wave Motion similar to Simple Harmonic
Motion?
iii. In what way is Wave Motion different from Simple Harmonic
Motion?

What systems does the author describe as examples of simple
harmonic motion? Select all that apply
mass on a spring
pendulum
rotating circular disk

In a Simple Harmonic Motion experiment: (Lab)
Describe how the experimental period of the system will be
determined using a photogate.

The motion of a nightingale's wingtips can be modeled as simple
harmonic motion. In one study, the tips of a bird's wings were
found to move up and down with an amplitude of 8.6 cm and a period
of 0.80 s.
A) What is the wingtips' maximum speed?
B) What is the wingtips' maximum acceleration?

Select examples of simple harmonic motion that can be observed
in everyday life. Select all that apply:
a child gently swinging on a playground swing at small
angles
lightly bouncing on a trampoline when your feet do not leave the
canvas
a yo-yo moving up and down in a steady pattern
a pendulum in a grandfather clock
the Moon rotating around the Earth
dribbling a basketball at a steady rate

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

What are the mathematical relationships of variables found in
both Uniform Circular Motion and Simple Harmonic Motion?

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