Chapter 14

Question 1

Hertz

Answer 1

One cycle per second

Question 2

Frequency formula

Answer 2

oscillations/second

Question 3

Period (T)

Answer 3

1/Frequency; the time to complete one full oscillation

Question 4

Simple harmonic motion formula

Answer 4

x(t) = Asin(2pi f t); or Asin(2pi t/T)

Question 5

Linear restoring force

Answer 5

Fsp= -kx; Fnet =-kx

Question 6

Amplitude on a graph

Answer 6

a max distance from equilibrium

Question 7

Hooke’s Law (for a spring)

Answer 7

Fsp= k delta L

Question 8

Newton’s first law and spring

Answer 8

Fsp + w = k delta L = 0; delta L = mg/K

Question 9

Velocity max

Answer 9

2pi x f x A

Question 10

Acceleration max

Answer 10

(2pif)^2 A

Question 11

Restoring force

Answer 11

a = -kx/m

Question 12

Relating kinetic energy and potential energy

Answer 12

Umax= 1/2 kA^2; Kmax= 1/2 m (v max)^2; Umax = Kmax

Question 13

Frequency of pendulum motion

Answer 13

f = (1/2pi)sq rt (g/L); pi is radians, g is gravity, L is length of pendulum

Question 14

Period of pendulum motion

Answer 14

T = 2pi sq rt (L/g); pi is radians, g is gravity, L is length of pendulum

Question 15

The frequency of a pendulum is independent of the _____ and _______.

Answer 15

Amplitude and mass

Question 16

Maximum velocity for a pendulum bob

Answer 16

v(max) = A sq rt (g/L); or = sq rt (g x L) (max angle)

Question 17

A restoring force acts to restore _________.

Answer 17

Equilibrium

Question 18

Simple harmonic motion is described as a ________.

Answer 18

sinusoidal oscillation

Question 19

The distance a vertical spring stretches with a mass attached to it.

Answer 19

delta L = mg/k; k is spring coefficient

Question 20

Acceleration on a horizontal spring

Answer 20

a(t) = -a(max) cos (2pi f t)

Question 21

Max acceleration formula

Answer 21

a(max) = (2pi f)^2 x A; A is (amplitude)

Question 22

Frequency of horizontal spring

Answer 22

f = 1/(2pi) sq rt (k/m)