Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.
Why is it called simple harmonic motion?
The motion of a particle moving along a straight line with an acceleration whose direction is always towards a fixed point on the line and whose magnitude is proportional to the distance from the fixed point is called simple harmonic motion.
Why is SHM important?
Whilst simple harmonic motion is a simplification, it is still a very good approximation. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions.
What are two basic characteristics of SHM?
Solution : The two basic characteristics of a simple harmonic motion : (i) Acceleration is directly proportional to displacement.
(ii) The direction of acceleration is always towards the mean position, that is opposite to displacement.
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Answer:
p = mv, where p is momentum, m is mass, and v is velocity.
a. ) m = 12kg v = 14m/s
Momentum (p) = mv
= 12kg × 14m/s
= 168kg•m/s
b.) momentum (p) = 35 kg•m/s
velocity = 3m/s
p = mv
make m the subject
divide both sides by v
we get
m = p/v
Therefore m is
m = 35 kg•m/s / 3m/s
m = 11.67kg
Therefore the mass of the object is 11.67kg
Hope this helps
Explanation:
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Answer:
the decay of half of the nuclei only a half-life has passed
, b) in rock time it is 1 108 years
Explanation:
The radioactive decay is given by
N = N₀
If half of the atoms have decayed
½ N₀ = N₀
½ =
₀
Ln 0.5 = - λ t
t = - ln 0.5 /λ
The definition of average life time is
= ln 2 / λ
λ = ln 2 / 
λ = 0.693 / 100 10⁶
λ = 0.693 10⁻⁸ years
We replace
t = -ln 0.5 / 0.693 10⁻⁸
t = 10⁸ years
We see that for the decay of half of the nuclei only a half-life has passed
b) in rock time it is 1 108 years
Since it is restricted at both ends, λ/2 = length of string
λ/2 = 1.5m
λ = 1.5*2 = 3m