1. SMH and Circular motion

Question 1

Newtons 1st law

Answer 1

Every object will remain at rest or move with constant velocity unless acted upon by a resultant force

Question 2

Centripetal acceleration

Answer 2

a = v² / r

Question 3

Centripetal force

Answer 3

F = mv² / r

Question 4

Angular velocity

Answer 4

The rate of change of angular displacement

Question 5

Angular velocity eq

Answer 5

Change in angle / change in time

In RADIANS

Question 6

When have rpm or other rotations per time

Answer 6

Revoultions x 2pi / (amount of seconds)

Question 7

V also equals

Answer 7

V = wr

Question 8

Centripetal force also equals

Answer 8

F = mw²r

Question 9

At the top of the loop force equation

Answer 9

Force = Normal reaction + weight

Question 10

At bottom of loop

Answer 10

Force = normal - weight

Question 11

Simple harmonic motion examples

Answer 11

Guitar string
Pendulum
Car suspension

Question 12

Conditions for SMH

Answer 12

The restoring force or acceleration acts towards the equilibrium

The magnitude of force or acceleration is proportional to the displacement

Question 13

Conditons expressed as equations
Max acceleration

Answer 13

A = -w²x

Question 14

Displacement SMH

Answer 14

X = A cos (wt +€)

Question 15

What is phase constant? € ?

Answer 15

When the timing of the experiment starts which could mean the graph has shifted across on the axis

Question 16

Velocity SMH

Answer 16

V = -Aw sin (wt + €)

Question 17

Acceleration SMH

Answer 17

a = -w²A cos (wr + €)

Question 18

Max kinetic energy SMH

Answer 18

½mw²A²

Question 19

V max SMH

Answer 19

Vmax = Aw

Question 20

amax SMH

Answer 20

a max = w²A

Question 21

Mass spring systems

Answer 21

T = 2pi (m/k)^½
2 pi x square root of mass / spring constant

Question 22

Simple pendulum

Answer 22

T = 2pi (l/g)^½

Question 23

Resonance

Answer 23

When the frequency of the driving oscillator is equal to the natural frequency of the driven oscillator

Question 24

What occurs at resonance?

Answer 24

Efficiency = Max
Amplitude = Max
Energy = Being transferred between driving and driven

Question 25

When undergoing damping what is the shape of the graph and the type of slope

Answer 25

Envelope shape with exponential curve

Question 26

Types of damping

Answer 26

Light
Critical
Over / heavy

Question 27

When an object is in SMH what is happening with the energy

Answer 27

There is a constant transfer between PE and KE

Question 28

What is a free oscialltion

Answer 28

When the oscillations arent effected by an external force

Question 29

When would damping be used in real life

Answer 29

Car suspension to allow for a safer ride
Speedometers in car to ensure the speed can be read correctly without an oscillating needle

Question 30

What happens in critical damping

Answer 30

The oscillations are quickly brought to rest

Question 31

What will happen when you try to damp on resonance

Answer 31

The resonance curve on a graph will widen