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 24SP
A horizontal spring is set up like the one in Fig. 11-3. It has an elastic constant of 80.0 N/m. A 2.00-kg mass, sitting on a frictionless horizontal surface, is attached to the end of the spring. The mass is displaced 20.0 cm to the right and released, whereupon it oscillates in
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Chapter 11 Solutions
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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- Refer to the problem of the two coupled oscillators discussed in Section 12.2. Show that the total energy of the system is constant. (Calculate the kinetic energy of each of the particles and the potential energy stored in each of the three springs, and sum the results.) Notice that the kinetic and potential energy terms that have 12 as a coefficient depend on C1 and 2 but not on C2 or 2. Why is such a result to be expected?arrow_forwardThe amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?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
- Which of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.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_forwardA grandfather clock has a pendulum length of 0.7 m and mass bob of 0.4 kg. A mass of 2 kg falls 0.8 m in seven days to keep the amplitude (from equilibrium) of the pendulum oscillation steady at 0.03 rad. What is the Q of the system?arrow_forward
- What conditions must be met to produce SHM?arrow_forwardA 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_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_forward
- The mechanical energy of an undamped block-spring system is constant as kinetic energy transforms to elastic potential energy and vice versa. For comparison, explain what happens to the energy of a damped oscillator in terms of the mechanical, potential, and kinetic energies.arrow_forwardA 50.0-g object connected to a spring with a force constant of 35.0 N/m oscillates with an amplitude of 4.00 cm on a frictionless, horizontal surface. Find (a) the total energy of the system and (b) the speed of the object when its position is 1.00 cm. Find (c) the kinetic energy and (d) the potential energy when its position is 3.00 cm.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
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