Download SIMPLE HARMONIC MOTION (1)

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Transcript
A VERTICAL SPRING
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Up to now, we have considered springs that are
horizontal
When a mass m is attached to a vertical spring, it
causes the spring to stretch
The vertical spring is in equilibrium when it exerts an
upward force equal to the weight of the mass, i.e the
spring stretches by an amount y0
Thus, for vertical springs: ky0 = mg
Or y0 = mg/k
A mass on a spring oscillates around the equilibrium
point y = y0, and also exhibits simple harmonic motion
Example: A 0.26kg mass is
attached to a vertical spring.
When the mass is put into
motion, its period is 1.12s.
How much does the mass
stretch the spring when it
is at rest in its
equilibrium position?
5. Oscillations About
Equilibrium
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