Unit 6: Simple Harmonic Motion

studied byStudied by 113 people
0.0(0)
get a hint
hint

Simple Harmonic Motion (SHM)

1 / 19

20 Terms

1

Simple Harmonic Motion (SHM)

Type of periodic motion where the restoring force is directly proportional to the displacement from the equilibrium position and is directed towards it.

New cards
2

Displacement

The distance of an object from its equilibrium position in Simple Harmonic Motion, given by x = A cos(ωt + φ).

New cards
3

Velocity

The rate of change of displacement in Simple Harmonic Motion, given by v = -Aω sin(ωt + φ).

New cards
4

Acceleration

The rate of change of velocity in Simple Harmonic Motion, given by a = -Aω^2 cos(ωt + φ).

New cards
5

Energy in SHM

The total mechanical energy of a system undergoing SHM is constant and is the sum of kinetic and potential energy.

New cards
6

Force in Simple Harmonic Motion

The force exerted by a spring in Simple Harmonic Motion, given by F = -kx, where k is the spring constant and x is the displacement.

New cards
7

Amplitude

The maximum displacement of a particle from its equilibrium position in a wave.

New cards
8

Period

The time it takes for one complete cycle of a wave to occur, denoted by T and measured in seconds (s).

New cards
9

Frequency

The number of complete cycles of a wave that occur in one second, denoted by f and measured in Hertz (Hz).

New cards
10

Formula for Period of a Pendulum

T=2π√(L/g)

New cards
11

Formula for Period of a Spring

T=2π√(m/k)

New cards
12

Formula for Total Energy in Simple Harmonic Motion

E = ½kA²

New cards
13

Formula for Kinetic Energy in Simple Harmonic Motion

K = ½mv²

New cards
14

Formula for Potential Energy in Simple Harmonic Motion

U = ½kx²

New cards
15

Where is velocity is maximum?

At the equilibrium position.

New cards
16

Where is velocity is minimum?

At the extreme positions.

New cards
17

What is the shape of a graph of simple harmonic motion relative to time?

Sinusoidal curve.

New cards
18

What is the spring constant?

Denoted as “k”. It tells us how strong the spring is, with a greater k being a stiffer spring.

New cards
19

How are frequency and period related?

Inversely related. For example, T = 1/f.

New cards
20

What can amplitude demonstrate about an object with simple harmonic motion?

The intensity and energy level of the object.

New cards

Explore top notes

note Note
studied byStudied by 30 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 7 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 24 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 44 people
Updated ... ago
5.0 Stars(3)
note Note
studied byStudied by 103 people
Updated ... ago
5.0 Stars(2)
note Note
studied byStudied by 11 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 584 people
Updated ... ago
5.0 Stars(1)

Explore top flashcards

flashcards Flashcard49 terms
studied byStudied by 10 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard42 terms
studied byStudied by 8 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard33 terms
studied byStudied by 3 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard101 terms
studied byStudied by 26 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard33 terms
studied byStudied by 43 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard44 terms
studied byStudied by 3 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard230 terms
studied byStudied by 18 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard56 terms
studied byStudied by 259 people
Updated ... ago
4.8 Stars(5)