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Chapter 15: Q1Q (page 434)
Which of the following describe for the SHM of Fig.:
(a) ,
(b) ,
(c) ?
The limits which describes for the SHM are .
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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?
The center of oscillation of a physical pendulum has this interesting property: If an impulse (assumed horizontal and in the plane of oscillation) acts at the center of oscillation, no oscillations are felt at the point of support. Baseball players (and players of many other sports) know that unless the ball hits the bat at this point (called the 鈥渟weet spot鈥� by athletes), the oscillations due to the impact will sting their hands. To prove this property, let the stick in Fig. simulate a baseball bat. Suppose that a horizontal force (due to impact with the ball) acts toward the right at P, the center of oscillation. The batter is assumed to hold the bat at O, the pivot point of the stick. (a) What acceleration does the point O undergo as a result of? (b) What angular acceleration is produced by about the center of mass of the stick? (c) As a result of the angular acceleration in (b), what linear acceleration does point O undergo? (d) Considering the magnitudes and directions of the accelerations in (a) and (c), convince yourself that P is indeed the 鈥渟weet spot.
Two particles oscillate in simple harmonic motion along a common straight-line segment of length . Each particle has a period of , but they differ in phase by .
A uniform spring with k = 8600 N.mis cut into pieces 1and 2of unstretched lengths and. What are (a)and (b)? A block attached to the original spring as in Fig.15-7oscillates at 200 Hz. What is the oscillation frequency of the block attached to (c) piece 1and (d) piece 2?
An object undergoing simple harmonic motion takes 0.25 sto travel from one point of zero velocity to the next such point. The distance between those points is 36 cm.
(a) Calculate the period of the motion.
(b) Calculate the frequency of the motion.
(c) Calculate the amplitude of the motion.
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