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Term 2 summary of PFC CHEM1111 $3.86   Add to cart
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  2.  
  3. Durham University (DUT)
  4.  
  5. Mathematical And Experimental Tools Required In Chemistry (CHEM1111)

Summary

Term 2 summary of PFC CHEM1111
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  • Course
  • Mathematical And Experimental Tools Required In Chemistry (CHEM1111)
  • Institution
  • Durham University (DUT)

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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Document information

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

Subjects

  • physics
  • equations
  • angular momentum
  • momentum
  • moment of inertia
  • centre of mass

Written for

  • Durham University (DUT)
  • Unknown
  • Mathematical And Experimental Tools Required In Chemistry (CHEM1111)
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Content preview

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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