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SHM Basics
Fichas del conjunto (17)
- 1Oscillations that obey SHM have these characteristics:Acceleration (and resultant force) is proportional to the displacement of a body from the equilibrium position.
The acceleration (and RF) always acts towards the equilibrium position (which is opposite to displacement direction). - 2Acceleration-Displacement graph for SHM:
- 3What does this graph tell us?a ∝ -x
(x = displacement) - 4SHM displacement-time graph: (cos t)
- 5SHM velocity-time graph: (-sin t)
- 6SHM acceleration-time graph: (-cos t)
- 7How do we calculate angular speed? (aka angular frequency)ω = 2πf
OR
ω = 2π/T - 8How do we calculate displacement of a body in SHM?x = Acosωt
(A = amplitude) - 9How do we calculate velocity of a body in SHM?v = -ωAsinωt
- 10How do we calculate acceleration of a body in SHM?a = -ω^2 x
(as a = -ω^2 Acosωt) - 11x = Acosωt , v = -ωAsinωt and -ω^2 Acosωt only work for which values of t?-1 < t < 1
(as these are the ranges of sin and cos) - 12In SHM what is the maximum displacement equal to?Amplitude (A)
- 13How would we calculate the max velocity?v(max) = ωA
- 14How would we calculate the max acceleration?a(max) = ω^2 A
- 15What is the gradient of an acceleration-displacement graph?-ω^2
- 16SHM velocity-displacement graph:
- 17What is the relationship between velocity and displacement?v = +/- ω(root(A^2 - x^2))