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Chapter 15: Q32P (page 437)
Figure shows the kinetic energy Kof a simple harmonic oscillator versus its position . The vertical axis scale is set by . What is the spring constant?
The spring constant of a simple harmonic oscillator is .
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In Fig. 15-59, a solid cylinder attached to a horizontal spring (k=3.00 N/m) rolls without slipping along a horizontal surface. If the system is released from rest when the spring is stretched by 0.250 m , find (a) the translational kinetic energy and (b) the rotational kinetic energy of the cylinder as it passes through the equilibrium position. (c) Show that under these conditions the cylinder鈥檚 center of mass executes simple harmonic motion with period where M is the cylinder mass. (Hint: Find the time derivative of the total mechanical energy.)
The balance wheel of an old-fashioned watch oscillates with angular amplitudeand periodrole="math" localid="1655102340305" .
Question: In Figure, the pendulum consists of a uniform disk with radius r = 10.cmand mass 500 gm attached to a uniform rod with length L =500mm and mass 270gm.
In Fig. , two springs are joined and connected to a block of mass 0.245 kgthat is set oscillating over a frictionless floor. The springs each have spring constant . What is the frequency of the oscillations?
In Figure 15-31, two springs are attached to a block that can oscillate over a frictionless floor. If the left spring is removed, the block oscillates at a frequency of 30 Hz. If, instead, the spring on the right is removed, the block oscillates at a frequency of 45 Hz. At what frequency does the block oscillate with both springs attached?
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