5) A mass m is attached to a spring of force constant 75.0N/m and allowed to oscillate. The figure below shows a graph of its velocity v as a function of time t. (a) Find the period, (b) Find the frequency and (c) the angular frequency of this motion (d) What is the amplitude (in cm) and at what times does the mass reach this position? (e) Find the maximum acceleration of the mass and the times at which it occurs. (f) What is the lass m? SHO: Mass-spring: @= ax(t) = ²x=-w²x(t) x(t) = A cos(wt + p) m Simple pendulum: T = 2π w = 2nf= = ²/F vx (cm/s) Vx 20 10 -10 -20 11 126) 0.2 0.6 1.0 1.4 1.8

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A mass m is attached to a spring of force constant 75.0N/m and allowed to oscillate. The figure below
shows a graph of its velocity vx as a function of time t.
(a) Find the period, (b) Find the frequency and (c ) the angular frequency of this motion
(d) What is the amplitude (in cm) and at what times does the mass reach this position?
(e) Find the maximum acceleration of the mass and the times at which it occurs. (f) What is the lass m?

5) A mass m is attached to a spring of force constant 75.0N/m and allowed to oscillate. The
figure below shows a graph of its velocity v, as a function of time t.
(a) Find the period, (b) Find the frequency and (c) the angular frequency of this motion
(d) What is the amplitude (in cm) and at what times does the mass reach this position?
(e) Find the maximum acceleration of the mass and the times at which it occurs. (f) What is the
lass m?
SHO:
Mass-spring: @=
ax(t)
m
d²x
dt²
-w²x(t) x(t) = A cos(wt + p)
Simple pendulum: T = 27
w = 2πf
=
2πT
v, (cm/s)
201
10
-10
-20
0.2 0.6 1.0 1.4 1.8
t(s)
Transcribed Image Text:5) A mass m is attached to a spring of force constant 75.0N/m and allowed to oscillate. The figure below shows a graph of its velocity v, as a function of time t. (a) Find the period, (b) Find the frequency and (c) the angular frequency of this motion (d) What is the amplitude (in cm) and at what times does the mass reach this position? (e) Find the maximum acceleration of the mass and the times at which it occurs. (f) What is the lass m? SHO: Mass-spring: @= ax(t) m d²x dt² -w²x(t) x(t) = A cos(wt + p) Simple pendulum: T = 27 w = 2πf = 2πT v, (cm/s) 201 10 -10 -20 0.2 0.6 1.0 1.4 1.8 t(s)
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