Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 11, Problem 22SP
A stretched wire vibrates in
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Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 11 - 18. A small metal sphere weighing 10.0 N is hung...Ch. 11 - 19. How much energy is stored in a spring with an...Ch. 11 - 20. Given that a spring oscillates at a frequency...Ch. 11 - 21. If a reed is oscillating in SHM such that each...Ch. 11 - 22. A stretched wire vibrates in SHM such that...Ch. 11 - 23. A horizontal spring is set up like the one in...Ch. 11 - 24. A horizontal spring is set up like the one in...Ch. 11 - 25. A horizontal spring is set up like the one in...Ch. 11 - 26. For the system shown in Fig. 11-3, write an...Ch. 11 - Prob. 27SP
Ch. 11 - 28. What is the value of the temporal period of a...Ch. 11 - 11.29 [I] Assume a simple pendulum swings...Ch. 11 - 30. A pendulum is timed as it swings back and...Ch. 11 - 11.31 [II] A 300-g mass at the end of a Hookean...Ch. 11 - 32. A coiled Hookean spring is stretched 10 cm...Ch. 11 - 33. A 2.5-kg body undergoes SHM and makes exactly...Ch. 11 - 34. A 300-g object attached to the end of a spring...Ch. 11 - 35. A Hookean spring is stretched 20 cm when a...Ch. 11 - 36. A 300-g body fixed at the end of a spring...Ch. 11 - 37. With a 50-g mass at its end, a spring...Ch. 11 - 11.39 [II] A 500-g object is attached to the end...Ch. 11 - 11.40 [II] A popgun uses a spring for which N/cm....Ch. 11 - 11.41 [II] A cubical block on an air table...Ch. 11 - 42. Find the frequency of vibration on Mars for a...Ch. 11 - 43. A “seconds pendulum” beats seconds; that is,...Ch. 11 - 44. Show that the natural period of vertical...Ch. 11 - 45. A particle that is at the origin of...Ch. 11 - 46. A particle vibrates according to the equation...Ch. 11 - 47. A particle oscillates according to the...
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- A mass is placed on a frictionless, horizontal table. A spring (k=100N/m) , which can be stretched or compressed, is placed on the table. A 5.00-kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x=4.0 cm and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion. (b) Find the position, velocity, and acceleration of the mass at time t=3.00 s.arrow_forwardAn automobile with a mass of 1000 kg, including passengers, settles 1.0 cm closer to the road for every additional 100 kg of passengers. It is driven with a constant horizontal component of speed 20 km/h over a washboard road with sinusoidal bumps. The amplitude and wavelength of the sine curve are 5.0 cm and 20 cm, respectively. The distance between the front and back wheels is 2.4 m. Find the amplitude of oscillation of the automobile, assuming it moves vertically as an undamped driven harmonic oscillator. Neglect the mass of the wheels and springs and assume that the wheels are always in contact with the road.arrow_forwardFour people, each with a mass of 72.4 kg, are in a car with a mass of 1 130 kg. An earthquake strikes. The vertical oscillations of the ground surface make the car bounce up and down on its suspension springs, but the driver manages to pull off the road and stop. When the frequency of the shaking is 1.80 Hz, the car exhibits a maximum amplitude of vibration. The earthquake ends and the four people leave the car as fast as they can. By what distance does the cars undamaged suspension lift the cars body as the people get out?arrow_forward
- We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.arrow_forwardIf a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion? (a) It doubles. (b) It becomes 2 times as large. (c) It becomes half as large. (d) It becomes 1/2 times as large. (e) It remains the same.arrow_forwardSuppose a diving board with no one on it bounces up and down in a SHM with a frequency of 4.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the SHM of a 75.0-kg diver on the board?arrow_forward
- Review. A system consists of a spring with force constant k = 1 250 N/m, length L = 1.50 m, and an object of mass m = 5.00 kg attached to the end (Fig. P15.49). The object is placed at the level of the point of attachment with the spring unstretched, at position yi = L, and then it is released so that it swings like a pendulum. (a) Find the y position of the object at the lowest point. (b) Will the pendulums period be greater or less than the period of a simple pendulum with the same mass m and length L? Explain. Figure PI 5.49arrow_forwardA blockspring system oscillates with an amplitude of 3.50 cm. The spring constant is 250 N/m and the mass of the block is 0.500 kg. Determine (a) the mechanical energy of the system, (b) the maximum speed of the block, and (c) the maximum acceleration.arrow_forwardIf a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?arrow_forward
- Determine the period of oscillation of a simple pendulum of length L suspended from the ceiling of a car that rolls down an inclined plane of angle (Fig. P16.73). Dissipative forces between the car and the plane are negligible.arrow_forwardDetermine the angular frequency of oscillation of a thin, uniform, vertical rod of mass m and length L pivoted at the point O and connected to two springs (Fig. P16.78). The combined spring constant of the springs is k(k = k1 + k2), and the masses of the springs are negligible. Use the small-angle approximation (sin ). FIGURE P16.78arrow_forwardIn an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = 0, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.arrow_forward
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