VOCABULARY
SYMBOLS
EQUATIONS
PENDULUMS
SPRINGS
100
What is a period?
The time it takes for one complete cycle of oscillation.
100
What is the symbol for amplitude?
(A)
100
What is the equation for simple harmonic motion (SHM) of a spring-mass system?
F = -kx
100
A pendulum has a period of 5 seconds. If the length of the string of the pendulum is quadrupled, what is the new period of the pendulum?
10s
100
A horizontal spring with spring constant 100Nmis attached to a wall and a mass of 50kg. The mass can slide without friction on a frictionless surface.
Determine the frequency of motion of the system if the system is stretched by 5cm.
ω=1.41/s
200
What is frequency?
The number of oscillations per unit of time, which is the inverse of the period.
200
What is the symbol for frequency?
(f)
200
What is the equation for the potential energy of a spring?
Us = 1/2kx^2
200
A simple pendulum has a frequency of 0.2 Hz on Earth. It is brought to Mars where g is 38% of its value on Earth. What will be the pendulum’s frequency on Mars?
0.12 Hz
200
A 4kg object is undergoing SHM with amplitude of 20cm. If the spring constant is 250Nm, calculate the maximum speed of the object.
1.58m/s
300
What is the Restoring Force?
The force that pulls or pushes an object back towards its equilibrium position.
300
What is the symbol for period?
(T)
300
What is the equation for Simple Harmonic Motion (SHM)?
x(t) = A cos(ωt + φ)
300
A ball of mass 2kg is attached to a string of length 4m, forming a pendulum. If the string is raised to have an angle of 30 degrees below the horizontal and released, what is the velocity of the ball as it passes through its lowest point?
6.3 m/s
300
Given that a spring is held 20m above the ground and an object of mass 6kg tied to the spring is displaced 3m below the equilibrium position, determine the spring constant k.
k=20 kg/s2
400
What is Equilibrium Position?
The point where the restoring force is zero and the object is at rest (or moves with constant velocity).
400
What is the symbol for phase shift?
(φ)
400
What is the equation to find the period of a simple pendulum?
T = 2π√(L/g)
400
In the lab, a student has created a pendulum by hanging a weight from a string. The student releases the pendulum from rest and uses a sensor and computer to find the equation of motion for the pendulum: x(t)=0.13mcos((6.3)(radians/s)(t)+(0.14)radians)
The student then replaces the string with a string whose length, 
x(t)=0.13mcos((4.45)(radians/s)(t)+(0.14)(radians))
400
The position of a 0.6 kg mass in an oscillating mass-spring system is given by the equation: x = -1.4sin(8πt). x is in meters and t in seconds.
What is the frequency of the oscillation of the mass?
4 Hz
500
What is Hooke's Law?
Describes the restoring force in a spring: F = -kx, where k is the spring constant and x is the displacement.
500
What is the symbol for angular frequency?
(ω)
500
What is the equation for angular frequency?
ω = 2π/T = 2πf
500
A student studying Newtonian mechanics in the 19th century was skeptical of some of Newton's concepts. The student has a pendulum that has a period of 3 seconds while sitting on his desk. He attaches the pendulum to a ballon and drops it off the roof of a university building, which is 20m tall. Another student realizes that the pendulum strikes the ground with a velocity of 12ms. What is the period of the pendulum as it is falling to the ground?
Neglect air resistance and assume g=10ms2
5s
500
A mass oscillates on a spring with an amplitude of 0.6 m. What is its displacement when 60% of its energy is potential?
0.46 m