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Flashcards in Simple Harmonic Motion Deck (57)
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1

What is simple harmonic motion?

The motion of an object whose acceleration is proportional to its distance from a fixed point with this acceleration always being directed towards that point.

2

How is the displacement from the point of equilibrium calculated?

x = Acosωt

3

How is velocity at a given time calculated?

v = -ωAsinωt

4

How is the acceleration towards the point of equilibrium calculated?

a = -ω^2Acosωt

5

How is velocity at a displacement calculated?

v = ±ω√(A^2-x^2)

6

How is maximum velocity calculated?

Vmax = ±ωA

7

When does the maximum velocity occur?

At the equilibrium position

8

When does the minimum velocity occur?

At the maximum displacement

9

How is maximum acceleration calculated?

a_max = -ω^2A

10

When does the maximum acceleration occur?

When x = A, at maximum displacement

11

When does the minimum acceleration occur?

At the equilibrium position

12

How is time period calculated?

T = 2π/ω

13

How is frequency calculated?

f = 1/T

14

What is ω equal to?

2πf

15

When is the minus sign in an equation ignored?

When asked for the magnitude

16

What does the gradient of a displacement vs time graph give?

Velocity

17

What does the gradient of a velocity vs time graph give?

Acceleration

18

What function does a displacement vs time graph show?

Cosine

19

What function does a velocity vs time graph show?

-Sine

20

What function does an acceleration vs time graph show?

-Cosine

21

What does an acceleration vs displacement graph show?

A straight line with a negative gradient

22

How is the resulting force of a pendulum calculated?

F = -mgsinθ

23

What is the acceleration of a pendulum?

a = -gsinθ

24

How is the time period of a pendulum calculated?

T = 2π√(l/g)

25

When does sinθ = θ?

When the angle is small and θ is in radians.

26

How is the maximum velocity of a pendulum calculated?

Vmax = ±A√(g/l)

27

How is the maximum acceleration of a pendulum calculated?

a_max = -(g/l)A

28

How is the velocity of a pendulum calculated?

v = ±(√[g/l])(√[A^2-x^2])

29

What is the restoring force of a spring?

-kx provided Hooke's Law applies

30

How is the acceleration of an oscillating spring calculated?

a = -(k/m)x