Vibrations and Rotations

Question 1

what is the most simple approximation of a bond

Answer 1

a spring with a mass at each end

Question 2

letter for frequency

Answer 2

v

Question 3

what is mu in equation for frequency of vibration

Answer 3

reduced mass of the system

m1 x m2 / m1 + m2

Question 4

equation for reduced mass of a system

Answer 4

m1 x m2 / m1 + m2

Question 5

affect on reduced mass of a system equation when one mass is much bigger than the other one

Answer 5

m1 + m2 is basically the same as m1 if thats bigger so

m1 x m2 / m1 = m2 so only the mass of the smaller one matters

Question 6

which particle vibrates when one is much larger than the other

Answer 6

only the smaller one oscillates

Question 7

application of bond vibration theory

Answer 7

UV spectra

Question 8

what force causes the curved trajectory of pendulum

Answer 8

tension of a wire

Question 9

equation for downwards force on pendulum

Answer 9

Fw = mg

Question 10

define simple harmonic motion

Answer 10

periodic motion under the effect a restoring force

Question 11

what is the period of rotation

Answer 11

time for one revolution

Question 12

define frequency

Answer 12

number of revolutions per second

Question 13

what is the unit of frequency

Answer 13

Hz (s^-1)

Question 14

equation for frequency

Answer 14

1/T

Question 15

applications of theory of pendulum

Answer 15

orbit around the sun

orbit of electrons in an electronic or magnetic field or electrostatic force

Question 16

what is tangential velocity on a curve

Answer 16

velocity at the edge of the disk

Question 17

equation for magnitude of velocity in constant rotation simple

Answer 17

v = 2piR / T
T is period of rotation
R is radius

Question 18

why use angular velocity equation

Answer 18

doesn’t use the radius so more general

Question 19

starting equations for average angular velocity

Answer 19

delta x / delta t
x is displacement between start and end
r delta theta / delta t
r is radius
theta angle of movement

Question 20

equation for angular velocity

Answer 20

delta theta / delta t

Question 21

what equation can the equation for angular velocity be substituted into

Answer 21

the second average velocity

one to get v = r w

Question 22

letter for angular velocity

Answer 22

w

Question 23

equation for kinetic energy

Answer 23

Ek = 1/2 m v^2

Question 24

equation for energy of a particle and how you got there

Answer 24

Ek = 1/2 m v^2 is equation for kinetic energy
then subtitute v with v = r w equation to get
Ek = 1/2 m r^2 w^2

Question 25

equation for moment of inertia around the axis of rotation

Answer 25

I = mr^2
substitute into Ek = 1/2 m r^2 w^2 to get
Ek = 1/2 I w^2

Question 26

what is rigid body rotation

Answer 26

two particles with a rigid bond rotating around a pivot point

Question 27

how to work out the total kinetic energy for both particles in a rigid bond

Answer 27

work it out individually and add them together where the two angular velocities can add wCl + wH = wHCl

Question 28

application of rotational theory

Answer 28

in rotational-vibrational spectra finding isotopic mixtures

Question 29

what is radius in a homonuclear atom

Answer 29

half the bond distance

Question 30

what is mass 1 equal to in a homonuclear atom

Answer 30

mass 2

Question 31

equation for moment of inertia around a point for homonuclear atoms H2

Answer 31

1/2 mH (dH2)^2