Oscillations

0.0(0)
studied byStudied by 0 people
GameKnowt Play
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
Card Sorting

1/15

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

16 Terms

1
New cards

What are oscillations

Periodic to-and-fro motions of a body about its mean (or equilibrium) position

2
New cards

What is a time period (for pendulums and NOT for circles)

It is the amount of time required by the body to complete 1 oscillation

3
New cards

What is a time period (for circles and NOT for pendulums)

It is the amount of time required by the body to complete 1 revolution

4
New cards

What is the formula for angular frequency, and what are its units?

k/m
were,

k → Stiffness of the spring (From Hooke’s law)

m→ mass

<p>k/m<br>were,</p><p>k → Stiffness of the spring (From Hooke’s law)</p><p>m→ mass</p>
5
New cards

What is the formula for finding out the time of oscillation

t = (T/2⊼)*ʘ

<p>t = (T/2⊼)*ʘ</p>
6
New cards

How can you write pi in time period’s terms?

T/2 = ⊼

7
New cards

When a particle is moving clockwise and anticlockwise, what happens to its angle?

  • Anticlockwise :- +ve

  • Clockwise :- -ve

8
New cards

What is the formula for the relation between velociy and distance in SHM?

V = w * √A²-x²

where,

w → Angular velocity

A → Amplitude

x → Distance

9
New cards

What is the formula for acceleration (w.r.t. position)?

a = -w²x

10
New cards

What is a second’s pendulum

It is a pendulum whose length is 1 meter and has a time period of 2 sec

11
New cards

What is the formula for the time period if the simple pendulum is very large compared to the radius of the Earth; What is it’s value?

It’s value is 84.6 minutes

<p>It’s value is 84.6 minutes</p>
12
New cards

What is the changes in cos and sin as you change the phase between them by ⊼/2

  • cos⁡(θ+π/2)= −sin⁡(θ)

  • sin⁡(θ+π/2)= cos⁡(θ)

13
New cards

What is the formula that will be used when the friction of the surface is sufficient to cause a body to roll when it is attached to a string

knowt flashcard image
14
New cards

What is the formula that we will use when damping is occurring in oscillations?

k = b/2m

where,

where:

  • b: damping constant

  • m: mass

  • k: the damping coefficient (not the same as decay constant in general exponential decay)

    • If k is big → fast decay 😱

    • If k is small → slow decay 🐢

15
New cards

What is the formula that we will use to represent exponential decay?

At = A e-kt
Where:

  • A(t): Amount left after time t

  • A0: Initial amount (at time 0)

  • k: decay constant (positive value)

  • t: time

  • e: Euler's number (~2.718)

16
New cards

What is the formula we will use for length when the distance of the object > radius of the earth?

knowt flashcard image