A thin metal disk with mass 2.00 × 10−3 ?? and radius 2.20 cm is attached at its center to a long fiber (Fig. 2). The disk, when twisted and released, oscillates with a period of 1.00 s. Find the torsion constant of the fiber. ..|| 49 | 80%5.00m11:47 b C← Chapter 6 Assignm...Assignment for Chapter 61. A 0.120-kg, 50.0-cm-long uniform bar has a small 0.055-kg massglued to its left end and a small 0.110-kg mass glued to the otherend. The two small masses can each be treated as point masses. Youwant to balance this system horizontally on a fulcrum placed justunder its center of gravity. How far from the left end should thefulcrum be placed?4.00 m300 N2. The horizontal beam in Fig. 1 weighs 150 N, and its center of gravityis at its center. Find (a) the tension in the cable and (b) the horizontaland vertical components of the force exerted on the beam at the wall.3. A circular steel wire 2.00 m long must stretch no more than 0.25 cmwhen a tensile force of 400 N is applied to each end of the wire. Whatminimum diameter is required for the wire?Figure 14. A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kgclimber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulusfor nylon?5. In a materials testing laboratory, a metal wire made from a new alloy is found to breakwhen a tensile force of 90.8 N is applied perpendicular to each end. If the diameter of thewire is 1.84 mm, what is the breaking stress of the alloy?5.A machine part is undergoing SHM with a frequency of 5.00 Hz and amplitude 1.80 cm.How long does it take the part to go from x = 0 to x = -1.80 cm.7.In a physics lab, you attach a 0.200-kg air-track glider to the end of an ideal spring ofnegligible mass and start it oscillating. The elapsed time from when the glider first movesthrough the equilibrium point to the second time it moves through that point is 2.60 s.Find the spring's force constant.8. A harmonic oscillator has angular frequency w and amplitude A. (a)What are the magnitudes of the displacement and velocity when theelastic potential energy is equal to the kinetic energy? (Assume thatU = 0 at equilibrium.) (b) At an instant when the displacement isequal to A/2, what fraction of the total energy of the system iskinetic and what fraction is potential?9. A thin metal disk with mass 2.00 x 10-3 kg and radius 2.20 cm isattached at its center to a long fiber (Fig. 2). The disk, when twistedand released, oscillates with a period of 1.00 s. Find the torsionconstant of the fiber.Figure 210. A 2.50-kg rock is attached at the end of a thin, very light rope 1.45 m long. You start itswinging by releasing it when the rope makes an 11° angle with the vertical. You recordthe observation that it rises only to an angle of 4.5° with the vertical after swings. (a) Howmuch energy has this system lost during that time? (b) What happened to the "lost"energy? Explain how it could have been "lost."Answers:1. 0.298 m2. (a) 625 N b) H= 500 N, H₂ = 75 N3. 1.4 mm4. 6.77 x 108 Pa5. 3.41 x 107 Pa6. t = 0.0500 s7. k = 0.292²m8. (a) x = A/√2, vx = WA/√Z (b) == ³/1,9. x 1.91 x 10-5 N.m/rad10. (a) 0.543 (b) The mechanical energy has been converted to other forms by airresistance and by dissipative forces within the rope. After a while the rock will come torest and then all its initial mechanical energy will have been "lost" because it will havebeen converted to other forms of energy by nonconservative forces.1123.00m()))

Name: A thin metal disk with mass 2.00 × 10−3 ?? and radius 2.20 cm is attac
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Description: A thin metal disk with mass 2.00 × 10−3 ?? and radius 2.20 cm is attached at its center to a long fiber (Fig. 2). The disk, when twisted and released, oscillates with a period of 1.00 s. Find the torsion constant of the fiber. ..|| 49 | 80%5.00m11:47