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