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Physics 1
Reinforcement Question
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Chapter 8
1/2
ASD2007/08
Reinforcement Questions
Chapter 8: Oscillations
Question 1:
(to get yourself familiar with the equations)
Question i to iv refer to a particle, with mass
m
, attached to a spring, with spring constant
k
, and moving in simple harmonic motion with amplitude
A
meters, period
T
seconds. Its
velocity at position
x
meters from the equilibrium position is
v
ms
1
.
i.
When
x
= 0.3m, magnitude of acceleration is 1.2ms
2
. Given that
A
= 0.5m, find
the period
T
and velocity
v
when
x
= 0.3m.
ii.
When
x
= 0.12m, magnitude of acceleration is 0.48ms
2
. Given that
A
= 0.4m, find
the period
T
and its maximum speed.
iii.
Given that it makes 20 complete swings in one minute and its maximum
magnitude of acceleration is 2ms
2
, find
T
and
A
.
iv.
Given that
.
0
25
2
2
=
+
x
dt
x
d
find
T
. If
x
= 4m when
t
= 0 and
x
= 3 when
t
=
π
/
10 s, find
A
.
Question 2:
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 Spring '09
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