Definitions
Graphs & Diagrams
Springs
Simple Pendulum
Physical Pendulum
100
What is the maximum distance (or angle) an object moves from its equilibrium position?
Amplitude
100
Which point (A, B, C, or D) represents the pendulum's equilibrium point?
C
100
A spring is stretched 0.12 m by a force of 14 N. What is the spring constant? Remember Units!
117 N/m
100
A pendulum is observed to complete 30 full cycles in 50 seconds. Calculate the period AND frequency. Remember Units!
T = 1.67 seconds
f = 0.6 Hz
100
Determine the mass of the rod
M
200
What is the number of cycles that happen every second?
Frequency
200
How many full cycles are shown in this graph?
2 cycles
200
A hanging 8 kg object stretches a spring 1.2 m on Earth. What is the spring constant? Remember Units!
67 N/m
200
What is the period of a pendulum 30 cm long? Remember Units!
1.09 seconds
200
What is the formula for the Period of a Physical Pendulum?
T=2pisqrt(I/(mgd)
300
What is the amount of time it takes to complete one cycle?
Period
300
At which point(s) (-A, 0, and/or +A) is the block's kinetic energy the LARGEST?
Point 0
300
If a 5.0kg mass attached to a spring oscillates 4.0 times every second, what is the spring constant k of the spring?
3200N/m
300
On a mystery planet, a pendulum has a period of 3 seconds. If the length of the pendulum is 1.3 m, what is the acceleration due to gravity on the planet? Remember Units!
5.7 m/s2
300
Determine the Center of Mass of the Rod
3/4 L
400
What is simple harmonic motion, and what causes simple harmonic motion?
Repetitive motion caused by a RESTORING FORCE
400
What is the frequency of the spring represented in this graph?
2 Hz
400
What is the maximum velocity for a 2kg mass on a 1000 N/m spring that is pulled back 20cm and then released?
How long will it take to reach that speed from release?
v=4.5m/s
t=T/4=0.07s
400
Find the length of a pendulum on Earth that has a frequency of 0.80Hz. Remember Units!
0.4 meters
400
Determine the Moment of Inertia for the Rod about the Pivot
3/5 ML^2
500
This differential equation is the hallmark of Simple Harmonic Motion.
(d^2x)/dt^2=-omega^2x
500
A mass M is attached to the lower end of a light spring with a spring constant k suspended from a clamp. The system is made to oscillate. A motion detector measures the amplitude and time needed for the mass to complete 5 oscillations. This procedure is repeated with different masses, and the results are shown in the table. Calculate the spring constant using a suitable graph representation.
2.54 N/m
500
A spider of 0.5g walks to the middle of her web. The web sinks by 1.0mm due to her weight. You may assume the mass of the web is negligible. If a small burst of wind sets her in motion, with what frequency will she oscillate?
15.75 Hz
500
The period of a pendulum is observed to be âTâ. Suppose you want to make the period â2Tâ (double the period). What should you do to the pendulum?
Multiply the length by 4
500
Determine the period for this rod swinging as a physical pendulum about the pivot when released from a small angle away from a vertical orientation.
T=2pisqrt((4L)/(5g)