Pendulums
Position of maximum speed for pendulum?
equilibrium
Where does mass/spring system have greatest velocity?
equilibrium position
What does amplitude mean?
max. distance object travels from equilibrium position in periodic motion
Equation for period of mass spring motion
T = 2 pi sqrt(m/k)
In a mass/spring system, where does mass have greatest acceleration?
amplitudes
Extra practice problem 9
0.11 Hz
Extra practice problem 1
7.5 N
What are the units of the spring constant?
Equation for time period of pendulum?
T = 2 pi sqrt (l/g)
Where is the greatest kinetic energy in a mass/spring system?
equilibrium position
Condition necessary for pendulum to exhibit simple harmonic motion?
< 20 deg displacement
Extra Practice problem 2
0.11 kg
equation for total energy of mass/spring system?
1/2 k A^2
Period of mass/spring system is not dependent on which of the following: mass, displacement, spring constant?
displacement
Extra practice problem 3
0.33 Hz
2 pendulums, 1 has double length, how do periods relate?
Longer one is sqrt(2) times period of shorter one
Extra practice problem 6
1.38 J
How are the motion of a mass-spring system and uniform circular motion similar?
motion of mass/spring system is 1-D equivalent of uniform circular motion
Period of pendulum is not dependent on which of following: length, gravity, mass
mass
Extra practice problem 5
3.1 x 10^4 N/m
Extra practice problem 10
3.67 m/sec^2
Extra practice problem 8
0.049 m/s
Condition needed for simple harmonic motion?
restoring force that is linearly proportional to displacement (ex. F = -k delx)
Extra practice problem 7
18 kg