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and a small glued to glued to its end. The two small masses can each be treated as point masses. You want to balance this system horizontally on a fulcrum placed just under its center of gravity. How far from the left end should the fulcrum be placed? 2. The horizontal beam in Fig. 1 weighs 150 N, and its center of gravity is at its center. Find (a) the tension in the cable and (b) the horizontal and vertical components of the force exerted on the beam at the wall. 3.00m 5.00m 4.00m 300 N

and a small glued to glued to its end. The two small masses can each be treated as point masses. You want to balance this system horizontally on a fulcrum placed just under its center of gravity. How far from the left end should the fulcrum be placed? 2. The horizontal beam in Fig. 1 weighs 150 N, and its center of gravity is at its center. Find (a) the tension in the cable and (b) the horizontal and vertical components of the force exerted on the beam at the wall. 3.00m 5.00m 4.00m 300 N

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The horizontal beam in Fig. 1 weighs 150 N, and its center of gravity is at its center. Find (a) the tension in the cable and (b) the horizontal and vertical components of the force exerted on the beam at the wall.
..|| 49 | 80% 5.00m 11:47 b C ← Chapter 6 Assignm... Assignment for Chapter 6 1. A 0.120-kg, 50.0-cm-long uniform bar has a small 0.055-kg mass glued to its left end and a small 0.110-kg mass glued to the other end. The two small masses can each be treated as point masses. You want to balance this system horizontally on a fulcrum placed just under its center of gravity. How far from the left end should the fulcrum be placed? 4.00 m 300 N 2. The horizontal beam in Fig. 1 weighs 150 N, and its center of gravity is at its center. Find (a) the tension in the cable and (b) the horizontal and 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 cm when a tensile force of 400 N is applied to each end of the wire. What minimum diameter is required for the wire? Figure 1 4. A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulus for nylon? 5. In a materials testing laboratory, a metal wire made from a new alloy is found to break when a tensile force of 90.8 N is applied perpendicular to each end. If the diameter of the wire 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 of negligible mass and start it oscillating. The elapsed time from when the glider first moves through 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 the elastic potential energy is equal to the kinetic energy? (Assume that U = 0 at equilibrium.) (b) At an instant when the displacement is equal to A/2, what fraction of the total energy of the system is kinetic and what fraction is potential? 9. A thin metal disk with mass 2.00 x 10-3 kg 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. Figure 2 10. A 2.50-kg rock is attached at the end of a thin, very light rope 1.45 m long. You start it swinging by releasing it when the rope makes an 11° angle with the vertical. You record the observation that it rises only to an angle of 4.5° with the vertical after swings. (a) How much 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 m 2. (a) 625 N b) H= 500 N, H₂ = 75 N 3. 1.4 mm 4. 6.77 x 108 Pa 5. 3.41 x 107 Pa 6. t = 0.0500 s 7. k = 0.292 m 8. (a) x = A/√2, vx = WA/√Z (b) == / 9. x 1.91 x 10-5 N.m/rad 10. (a) 0.543 (b) The mechanical energy has been converted to other forms by air resistance and by dissipative forces within the rope. After a while the rock will come to rest and then all its initial mechanical energy will have been "lost" because it will have been converted to other forms of energy by nonconservative forces. 112 3.00m ()))
Transcribed Image Text:..|| 49 | 80% 5.00m 11:47 b C ← Chapter 6 Assignm... Assignment for Chapter 6 1. A 0.120-kg, 50.0-cm-long uniform bar has a small 0.055-kg mass glued to its left end and a small 0.110-kg mass glued to the other end. The two small masses can each be treated as point masses. You want to balance this system horizontally on a fulcrum placed just under its center of gravity. How far from the left end should the fulcrum be placed? 4.00 m 300 N 2. The horizontal beam in Fig. 1 weighs 150 N, and its center of gravity is at its center. Find (a) the tension in the cable and (b) the horizontal and 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 cm when a tensile force of 400 N is applied to each end of the wire. What minimum diameter is required for the wire? Figure 1 4. A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulus for nylon? 5. In a materials testing laboratory, a metal wire made from a new alloy is found to break when a tensile force of 90.8 N is applied perpendicular to each end. If the diameter of the wire 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 of negligible mass and start it oscillating. The elapsed time from when the glider first moves through 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 the elastic potential energy is equal to the kinetic energy? (Assume that U = 0 at equilibrium.) (b) At an instant when the displacement is equal to A/2, what fraction of the total energy of the system is kinetic and what fraction is potential? 9. A thin metal disk with mass 2.00 x 10-3 kg 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. Figure 2 10. A 2.50-kg rock is attached at the end of a thin, very light rope 1.45 m long. You start it swinging by releasing it when the rope makes an 11° angle with the vertical. You record the observation that it rises only to an angle of 4.5° with the vertical after swings. (a) How much 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 m 2. (a) 625 N b) H= 500 N, H₂ = 75 N 3. 1.4 mm 4. 6.77 x 108 Pa 5. 3.41 x 107 Pa 6. t = 0.0500 s 7. k = 0.292 m 8. (a) x = A/√2, vx = WA/√Z (b) == / 9. x 1.91 x 10-5 N.m/rad 10. (a) 0.543 (b) The mechanical energy has been converted to other forms by air resistance and by dissipative forces within the rope. After a while the rock will come to rest and then all its initial mechanical energy will have been "lost" because it will have been converted to other forms of energy by nonconservative forces. 112 3.00m ()))
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