NEW
Font size
WorksheetsOscillations of mathematical and spring pendulums
Total questions: 8
Worksheet time: 4mins
What is the equation of motion for a mathematical pendulum (simple pendulum)?
x(t)=Acos(ωt+ϕ)
x(t)=Asin(ωt)
θ(t)=θcos(g/L⋅t)
θ(t)=θsin(g/L⋅t)
What is the defining characteristic of a mathematical pendulum (simple pendulum)?
Linear motion
Circular motion
Periodic back-and-forth motion
Oscillation along a straight line
What parameter in the equation of motion for a mathematical pendulum represents the initial angular displacement?
A
ω
θ
ϕ
In a spring pendulum (simple harmonic oscillator), what does the amplitude (A) represent?
Maximum displacement from equilibrium
Time taken for one oscillation
Phase constant
Angular frequency (ω)
The period of a mathematical pendulum is independent of the amplitude of its oscillation.
True
False
In a spring pendulum, the restoring force is proportional to the displacement from equilibrium.
True
False
Calculate the period of a mathematical pendulum with a length of 1.5m. (Use g=9.8m/s2)
3.05s
5.1s
Determine the angular frequency of a spring pendulum with a mass of 0.2kg and a spring constant of 100 N/m.
10rad/s.
15rad/s.
20rad/s.
30rad/s.
