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Chapter 15: Q. 3 (page 415)
When a guitar string plays the note 鈥淎,鈥� the string vibrates at . What is the period of the vibration?
The vibration has a time period of.
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Interestingly, there have been several studies using cadavers to determine the moments of inertia of human body parts, information that is important in biomechanics. In one study, the center of mass of a 5.0 kg lower leg was found to be 18 cm from the knee. When the leg was allowed to pivot at the knee and swing freely as a pendulum, the oscillation frequency was 1.6Hz . What was the moment of inertia of the lower leg about the knee joint?
The pendulum shown in figure is pulled to a 10掳 angle on the left side and released.
a. What is the period of this pendulum?
b. What is the pendulum鈥檚 maximum angle on the right side?
An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at . It then oscillates with a period of and a maximum speed of .
a. What is the amplitude of the oscillation?
b. What is the glider鈥檚 position at?
An object in SHM oscillates with a period of and an amplitude of . How long does the object take to move from to ?
A molecular bond can be modeled as a spring between two
atoms that vibrate with simple harmonic motion. FIGURE P15.63
shows an SHM approximation for the potential energy of an HCl
molecule. Because the chlorine atom is so much more massive
than the hydrogen atom, it is reasonable to assume that the hydrogen
atom vibrates back and forth while
the chlorine atom remains at rest. Use the graph to estimate the
vibrational frequency of the HCl molecule.
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