of the oscillations is 5.6 s, what's the unknown 71. Two mass-spring systems with the same mass are undergoing os- cillatory motion with the same amplitudes. System 1 has thrice the frequency of system 2. How do (a) their energies and (b) their maximum accelerations compare? toto) on

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nplitude and (b) the period of the resulting motion.
small hole at the 30-cm mark. Find the period of small-amplitude
oscillations about the stick's equilibrium position.
A meter stick is suspended from a frictionless rod through a
68.
ched spring and allowed to drop. Find
tation. Use
whose ma
those of t
of the ap
Oscillations about the stick's equilibrium position.
69
03. A particle of mass m has potential energy given by U = ax,where
79. You're
DATA and y
a is a constant and x is the particle's position. Find an expression for
3320
he frequency of simple harmonic oscillations this particle undergoes.
70. Two balls with the same unknown mass m are mounted on opposite
70.
the
ene
ends of a 1.5-m-long rod of mass 450 g. The system is suspended
Trom a wire attached to the center of the rod and set into torsional
Oscillations. If the wire has torsional constant 0.63 N m/rad and
the
period of the oscillations is 5.6 s, what's the unknown mass m?
71.
71. Two mass-spring systems with the same mass are undergoing os-
cillatory motion with the same amplitudes. System 1 has thrice
the frequency of system 2. How do (a) their energies and (b) their
maximum accelerations compare?
72.
12. Two mass-spring systems have the same mass and the same total en-
ergy. The amplitude of system 1 is 4 times that of system 2. How do
(a) their frequencies and (b) their maximum accelerations compare?
73.
Show by direct substitution that x = Acos(@at + 6) satisfies
Equation 13.18, with A given by Equation 13.19.
4. A 600-g block on a frictionless, horizontal surface is attached to
a rather limn spring with k = 87 N/m A second block rests on
Transcribed Image Text:nplitude and (b) the period of the resulting motion. small hole at the 30-cm mark. Find the period of small-amplitude oscillations about the stick's equilibrium position. A meter stick is suspended from a frictionless rod through a 68. ched spring and allowed to drop. Find tation. Use whose ma those of t of the ap Oscillations about the stick's equilibrium position. 69 03. A particle of mass m has potential energy given by U = ax,where 79. You're DATA and y a is a constant and x is the particle's position. Find an expression for 3320 he frequency of simple harmonic oscillations this particle undergoes. 70. Two balls with the same unknown mass m are mounted on opposite 70. the ene ends of a 1.5-m-long rod of mass 450 g. The system is suspended Trom a wire attached to the center of the rod and set into torsional Oscillations. If the wire has torsional constant 0.63 N m/rad and the period of the oscillations is 5.6 s, what's the unknown mass m? 71. 71. Two mass-spring systems with the same mass are undergoing os- cillatory motion with the same amplitudes. System 1 has thrice the frequency of system 2. How do (a) their energies and (b) their maximum accelerations compare? 72. 12. Two mass-spring systems have the same mass and the same total en- ergy. The amplitude of system 1 is 4 times that of system 2. How do (a) their frequencies and (b) their maximum accelerations compare? 73. Show by direct substitution that x = Acos(@at + 6) satisfies Equation 13.18, with A given by Equation 13.19. 4. A 600-g block on a frictionless, horizontal surface is attached to a rather limn spring with k = 87 N/m A second block rests on
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