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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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A flat uniform circular disk has a mass of 3.00kgand a radius of 70.0cm. It is suspended in a horizontal plane by a vertical wire attached to its center. If the disk is rotated 2.50 radabout the wire, a torque of 0.600 N.mis required to maintain that orientation.
A common device for entertaining a toddler is a jump seat that hangs from the horizontal portion of a doorframe via elastic cords (Fig. 15-63). Assume that only one cord is on each side in spite of the more realistic arrangement shown. When a child is placed in the seat, they both descend by a distance as the cords stretch (treat them as springs). Then the seat is pulled down an extra distance and released, so that the child oscillates vertically, like a block on the end of a spring. Suppose you are the safety engineer for the manufacturer of the seat. You do not want the magnitude of the child鈥檚 acceleration to exceed 0.20 gfor fear of hurting the child鈥檚 neck. If , what value of corresponds to that acceleration magnitude?
You are to build the oscillation transfer device shown in Fig.15-27. It consists of two spring鈥揵lock systems hanging from a flexible rod. When the spring of system is stretched and then released, the resulting SHM of system at frequency oscillates the rod. The rod then exerts a driving force on system 2, at the same frequency . You can choose from four springs with spring constants k of 1600,1500,1400, and 1200 N/m, and four blocks with masses m of 800,500,400, and 200 kg. Mentally determine which spring should go with which block in each of the two systems to maximize the amplitude of oscillations in system 2.
A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position such that the spring is at its rest length. The object is then released from and oscillates up and down, with its lowest position being
(a) What is the frequency of the oscillation?
(b) What is the speed of the object when it is below the initial position?
(c) An object of mass is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object?
(d) How far below is the new equilibrium (rest) position with both objects attached to the spring?
A loudspeaker produces a musical sound by means of the oscillation of a diaphragm whose amplitude is limited to.
(a) At what frequency is the magnitudeof the diaphragm鈥檚 acceleration equal to g?
(b) For greater frequencies, isgreater than or less than g?
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