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Term 2 summary of PFC CHEM1111 £2.99   Add to cart
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  3. Durham University (DUT)
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  5. Mathematical And Experimental Tools Required In Chemistry (CHEM1111)

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Term 2 summary of PFC CHEM1111
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Condensed summary of physics for chemists term 2, including every equation and examples of how to solve problems with these equations. This will significantly reduce time spent revising this module.

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  • May 28, 2023
  • 9
  • 2022/2023
  • Summary

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Harmonic motion/osscilator
whenlet test basesand


M
it

won


i-
k




To
find set as a changes overtime


F ma=




F
= - hx
Lk
v
I
=
ma:-

ma=-hx
d+2
(29)

General solution to second order differential equation for self) is



x(H) Acos(n+ d)
= -



(30)
w (k
=




f
M




w 2πf
=




=1..T=




Can substitute Equation (30) into (29) to determine re



second derivative of (30)
x(H = -
w2Acos(n-q) = -
wx(t)
2
d+

of is
phase apser
the and determines the pointat which
ossulation starts.



Vi Elesch
=




=
GAcosYw+-d)
I

k 2mv2
=




=
Imia

, =
(m)- Awsin(n+-x]
Am sin (ut-d
=
Im

E k V 2 hA2 which is independent of
= =
+




time, showing energy is

conserved




Good Escampe
to
find A
and ward
①

Ivo
-
=
-

0.50ms-
sCt) A cos(w+-6)
=




- ⑪ &x(t 0)

~
dt)
=




=
x Accs)
=




-
=




Awsin(nt-y)
-0)



② v(t 0)
=

vo
= =

- Awsin) -




6
in
-


x ①xw Sow Awcos(d)
=




0
② Vo Awsin(6)
E
=




u
=



M

and add
F square
-




w
= 5.0wm
0.054g
dowt vo:Am"(cos( sinall
lOrads"
=




2 vo= An
62
+




A
=




w
A :




so
from e
A
=
0.112m




⑳==A

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