Lesson 5.1 Homework
1.
When an 80kg man climbs into a 1200kg car, the springs of the car
compresses vertically by 1.4 cm. The springs vibrate vertically when
the car runs into a ditch. Find the frequency of this vertical vibration.
2.
A 1.5kg mass on a frictionless surface is attached to a horizontal
spring with a force constant k = 200 N.m
1
. At t = 0, the mass is at x =
0.1 and it is given a velocity 2.0 ms
1
i.
(i)
Obtain the amplitude A, the angular frequency
ϖ
, and the phase
angle
δ
. Write down the equation of the displacement x(t) of the mass.
(ii)
Find the period T of oscillation
(iii)
What is the maximum velocity and acceleration of the mass?
(iv)
Plot x(t) from t = 0 to t = T
3.
A 500g mass on a spring executes simple harmonic oscillation and its
position functions is given by
x(t) = 0.5 m cos(6
π
t +
π
/6)
(i)
Obtain the amplitude A, the angular frequency
ϖ
and the phase
angle
δ
for this oscillation.
(ii)
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 Fall '10
 George
 Physics, Energy, Mass, Simple Harmonic Motion, Work, Velocity, Robert Hooke

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