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Chapter 15: Q115P (page 443)
What is the length of a simple pendulum whose full swing from left to right and then back again takes 3.2 S?
The length of a simple pendulum is 2.54.
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Aparticle undergoes SHM with amplitude of , a maximum acceleration of magnitude, and an unknown phase constant.
(a) What is the period of the motion?
(b) What is the maximum speed of the particle?
(d) What is the total mechanical energy of the oscillator?
What is the magnitude of the force on the particle when the particle is at
(d) its maximum displacement and
(e) Half its maximum displacement?
Although California is known for earthquakes, it has large regions dotted with precariously balanced rocks that would be easily toppled by even a mild earthquake. The rocks have stood this way for thousands of years, suggesting that major earthquakes have not occurred in those regions during that time. If an earthquake were to put such a rock into sinusoidal oscillation (parallel to the ground) with a frequency of, an oscillation amplitude ofwould cause the rock to topple. What would be the magnitude of the maximum acceleration of the oscillation, in terms of g?
The physical pendulum in Fig. 15-62 has two possible pivot points A and B. Point A has a fixed position but B is adjustable along the length of the pendulum as indicated by the scaling. When suspended from A, the pendulum has a period of. The pendulum is then suspended from B, which is moved until the pendulum again has that period. What is the distance L between A and B?
Figure 15-24shows the x(t) curves for three experiments involving a particular spring鈥揵ox system oscillating in SHM. Rank the curves according to (a) the system鈥檚 angular frequency, (b) the spring鈥檚 potential energy at time t=0, (c) the box鈥檚 kinetic energy att=0, (d) the box鈥檚 speed att=0, and (e) the box鈥檚 maximum kinetic energy, greatest first.
A damped harmonic oscillator consists of a block (), a spring (), and a damping force (). Initially, it oscillates with amplitude of; because of the damping, the amplitude falls to three-fourths of this initial value at the completion of four oscillations. (a) What is the value of b? (b) How much energy has been 鈥渓ost鈥� during these four oscillations?
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