Flashcards in SHM Deck (12):

1

## Differential equations in SHM?

###
F=-kx

a=F/m=-(k/m)x=-ω^ x

Slope= -k

ω=ω=√k/m

2

## What is the necessary condition for a period motion to be SHM?

### Force f must be directly proportional to the negative of x

3

## General solution of Simple harmonic motion ?

###
x= A sin(ωt±δ)

here , x is displacement from mean position. A is amplitude , δ is phase angle and ωt±δ is phase angle at a general time t.

4

## If x= A sin ωt, then what is v and a?

###
v= ωA cos ωt

a=-ω² A sin ωt.

Phase difference between x-t and v-t fiction is π÷2 but phase difference between x-t and a-t function is π.

5

## What is velocity v at a general point in SHM?

###
v=ω√Α²−x²

it's max at mean position(=ωA) and min at extreme position(=0)

6

## In SHM what is formula for acceleration a?

###
a=-ω²x

it's min (=0) at mean position and max (=-ω²A) at extreme position.

7

## In SHM, what is formula of potential energy PE?

### PE= U₀+½kx²

8

## In SHM what is the formula for kinetic energy?

### KE= ½ k(A²−x²)

9

## In SHM what is the formula for total energy TE?

### TE= U₀+½ kA²= U₀ + mω²Α².

10

## When is potential energy minimum and maximum in SHM?

### Potential energy is minimum at mean position and maximum at extreme position.

11

## When is kinetic energy minimum and maximum in SHM?

### Kinetic energy is maximum at mean position and zero at extreme position.

12