2. Knight P15.17 The position of a 50.0 g oscillator is given by r(t) = (2.00 cm) cos(10t - π/4). Compute the following: (a) amplitude, (b) period, (c) spring constant,

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter12: Oscillatory Motion
Section: Chapter Questions
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Help with the following question The second photo is just equations
red,
ers.
1
system).
2. Knight P15.17 The position of a 50.0 g oscillator
is given by r(t) = (2.00 cm) cos(10t-/4).
Compute the following:
(a) amplitude,
(b) period,
(c) spring constant,
(d) phase constant,
(e) initial conditions to and vo,
(f) maximum speed,
(g) total energy,
(h) velocity at t = 0.4 seconds.
Answers to one significant figure. These are given so you
Transcribed Image Text:red, ers. 1 system). 2. Knight P15.17 The position of a 50.0 g oscillator is given by r(t) = (2.00 cm) cos(10t-/4). Compute the following: (a) amplitude, (b) period, (c) spring constant, (d) phase constant, (e) initial conditions to and vo, (f) maximum speed, (g) total energy, (h) velocity at t = 0.4 seconds. Answers to one significant figure. These are given so you
Useful information
Conservation of momentum
Ap= 0, or pf = Pi
Simple harmonic motion
x(t) = A cos(wt + $0)
v(t) = -Aw sin(wt + o)
a(t) = -Aw² cos(wt + 0))
Hooke's law for a linear spring
F = -kx
Angular frequency for an oscillating mass on a spring
W=
k
m
Angular and cyclical frequency
w = 2π f
Total mechanical energy for an oscillating mass on a
spring
1
Emech = KA²
Transcribed Image Text:Useful information Conservation of momentum Ap= 0, or pf = Pi Simple harmonic motion x(t) = A cos(wt + $0) v(t) = -Aw sin(wt + o) a(t) = -Aw² cos(wt + 0)) Hooke's law for a linear spring F = -kx Angular frequency for an oscillating mass on a spring W= k m Angular and cyclical frequency w = 2π f Total mechanical energy for an oscillating mass on a spring 1 Emech = KA²
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