Physics: Principles with Applications
7th Edition
ISBN: 9780321625922
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 11, Problem 10Q
Why can you make water slosh back and forth in a pan only if you shake the pan at a certain frequency?
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President Teddy Roosevelt's most famous saying was Walk softly, but carry a big stick. He and this saying were immortalized in many ways including the cartoon shown below. Even though the stick in the picture does not look like the mass is uniformly distributed along the length, we shall treat it as such. The stick is made of Mahogany and has been painted with blue paint so that the president's rivals can see it and quake in fear. Teddy grips the stick at the point 17% from the bottom edge using a normal force between his hands and the stick of 30 Newtons. It is a warm day outside 102 degrees Fahrenheit and profuse sweating has lower the coefficient of static friction to 0.35 between the hands and the stick. The stick of Mass M and length L is swung with an angular velocity of 1.7 rad/second counter-clockwise as viewed from above. Nearby a lark sings with a note whose frequency is 190 Hz.Determine all the following:1. Write an expression for the…
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Chapter 11 Solutions
Physics: Principles with Applications
Ch. 11 - Prob. 1OQCh. 11 - Prob. 2OQCh. 11 - 1. Is the acceleration of a simple harmonic...Ch. 11 - Prob. 2QCh. 11 - How could you double the maximum speed of a simple...Ch. 11 - 4.If a pendulum clock isaccurate at sea level,...Ch. 11 - Prob. 5QCh. 11 - For a simple harmonic oscillator, when (if ever)...Ch. 11 - Two equal masses are attached to separate...Ch. 11 - S. What is the approximate period of your walking...
Ch. 11 - What happens to the period of a playground swing...Ch. 11 - Why can you make water slosh back and forth in a...Ch. 11 - Is the frequency of a simple periodic wave equal...Ch. 11 - Prob. 12QCh. 11 - What kind of waves do you think will travel along...Ch. 11 - Since the density of air decreases with an...Ch. 11 - Prob. 15QCh. 11 - How did geophysicists determine that part of the...Ch. 11 - Prob. 17QCh. 11 - Prob. 18QCh. 11 - Prob. 19QCh. 11 - Prob. 20QCh. 11 - Prob. 21QCh. 11 - Prob. 22QCh. 11 - Why do the strings used for the lowest-frequency...Ch. 11 - Prob. 24QCh. 11 - Prob. 25QCh. 11 - Prob. 26QCh. 11 - Prob. 27QCh. 11 - Prob. 1MCQCh. 11 - 2. An object oscillates back and forth on the end...Ch. 11 - Prob. 3MCQCh. 11 - Prob. 4MCQCh. 11 - Prob. 5MCQCh. 11 - Prob. 6MCQCh. 11 - At a playground, two young children are on...Ch. 11 - Prob. 8MCQCh. 11 - Prob. 9MCQCh. 11 - Prob. 10MCQCh. 11 - Prob. 11MCQCh. 11 - Prob. 12MCQCh. 11 - Prob. 13MCQCh. 11 - A student attaches one end of a Slinky to the top...Ch. 11 - Prob. 15MCQCh. 11 - If a particle undergoes SHM with amplitude 0.21 m,...Ch. 11 - 2. (I) The springs of a 1700-kg car compress 5.0...Ch. 11 - An elastic cord is 61 cm long when a weight of 75...Ch. 11 - 4 (II) Estimate the stiffness of the spring in a...Ch. 11 - A fisherman's scale stretches 3.6 cm when a 2.4-kg...Ch. 11 - Prob. 6PCh. 11 - A mass mat the end of a spring oscillates with a...Ch. 11 - Prob. 8PCh. 11 - Figure 11-51 |O shows two examples of SHM, labeled...Ch. 11 - Prob. 10PCh. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - A 1.65-kg mass stretches a vertical spring 0.215...Ch. 11 - A 1 15-kg mass oscillates according to the...Ch. 11 - A 0.25-kg mass at the end of a spring oscillates...Ch. 11 - It takes a force of 91.0 N to compress the spring...Ch. 11 - Prob. 17PCh. 11 - Prob. 18PCh. 11 - A mass resting on a horizontal, frictionless...Ch. 11 - Prob. 20PCh. 11 - Prob. 21PCh. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - 25 (III) A 1.60-kg object oscillates at the end of...Ch. 11 - 26. (Ill) Consider two objects, A and B, both...Ch. 11 - A pendulum has a period of 1.85 s on Earth. Whatis...Ch. 11 - How long must a simple pendulum be if it is to...Ch. 11 - A pendulum makes 28 oscillations in exactly 50 s....Ch. 11 - Prob. 30PCh. 11 - Your grandfather clock's pendulum has a length of...Ch. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - 34 (III) A clock pendulum oscillates at a...Ch. 11 - A fisherman notices that wave crests pass the bow...Ch. 11 - A sound wave in air has a frequency of 282 Hz and...Ch. 11 - Prob. 37PCh. 11 - AM radio signals have frequencies between 550 kHz...Ch. 11 - Prob. 39PCh. 11 - A cord of mass 0.65 kg is stretched between two...Ch. 11 - A 0.40-kg cord is stretched between two supports,...Ch. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - Prob. 44PCh. 11 - 45 (II) The intensity of an earthquake wave...Ch. 11 - Prob. 46PCh. 11 - Prob. 47PCh. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Prob. 50PCh. 11 - Prob. 51PCh. 11 - Prob. 52PCh. 11 - Prob. 53PCh. 11 - A guitar string is 92 cm long and has a mass of...Ch. 11 - One end of a horizontal string is attached to a...Ch. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - Prob. 60PCh. 11 - 61. What frequency of sound would have a...Ch. 11 - Prob. 62GPCh. 11 - An energy-absorbing car bumper has a spring...Ch. 11 - Prob. 64GPCh. 11 - A block of mass mis suspended from a ceiling by a...Ch. 11 - 66. A block with mass m =6.0 kg rests on a...Ch. 11 - Prob. 67GPCh. 11 - Prob. 68GPCh. 11 - Prob. 69GPCh. 11 - Prob. 70GPCh. 11 - A 320-kg wooden raft floats on a lake. When a...Ch. 11 - Prob. 72GPCh. 11 - Prob. 73GPCh. 11 - Prob. 74GPCh. 11 - Carbon dioxide is a linear molecule The...Ch. 11 - Prob. 76GPCh. 11 - Prob. 77GPCh. 11 - Prob. 78GPCh. 11 - Prob. 79GPCh. 11 - Prob. 80GPCh. 11 - Prob. 81GPCh. 11 - Prob. 82GPCh. 11 - The ripples in certain groove 10.2 cm from the...Ch. 11 - Prob. 84GPCh. 11 - Prob. 85GPCh. 11 - Prob. 86GPCh. 11 - Prob. 87GP
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- Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at temperature T=20.00 °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where L=L0(1+T) and the rod is made of (=18106C1) .arrow_forwardIn about 1657. Otto von Guericke, inventor of the air pump, evacuated a sphere made of two brass hemispheres (Fig. P9.89). Two teams of eight horses each could pull the hemispheres apart only on some trials and then with greatest difficulty, with the resulting sound likened to a cannon firing. Find the force F required to pull the thin-walled evacuated hemispheres apart in terms of R, the radius of the hemispheres, P the pressure inside the hemispheres, and atmospheric pressure P0. Figure P9.89arrow_forwardA vibration sensor, used in testing a washing machine, consists of a cube of aluminum 1.50 cm on edge mounted on one end of a strip of spring steel (like a hacksaw blade) that lies in a vertical plane. The strips mass is small compared with that of the cube, but the strips length is large compared with the size of the cube. The other end of the strip is clamped to the frame of the washing machine that is not operating. A horizontal force of 1.43 N applied to the cube is required to hold it 2.75 cm away from its equilibrium position. If it is released, what is its frequency of vibration?arrow_forward
- In about 1657, Otto von Guericke, inventor of the air pump, evacuated a sphere made of two brass hemispheres (Fig. P15.62). Two teams of eight horses each could pull the hemispheres apart only on some trials and then with greatest difficulty, with the resulting sound likened to a cannon firing. Find the force F required to pull the thin-walled evacuated hemispheres apart in terms of R, the radius of the hemispheres; P, the pressure inside the hemispheres; and atmospheric pressure P0. Figure P15.62arrow_forwardReview. A long, cylindrical rod of radius r is weighted on one end so that it floats upright in a fluid having a density . It is pushed down a distance x from its equilibrium position and released. Show that the rod will execute simple harmonic motion if the resistive effects of the fluid are negligible, and determine the period of the oscillations.arrow_forwardA light, cubical container of volume a3 is initially filled with a liquid of mass density as shown in Figure P15.5la. The cube is initially supported by a light string to form a simple pendulum of length Li, measured from the center of mass of the filled container, where Li a. The liquid is allowed to flow from the bottom of the container at a constant rate (dM/dt). At any time t, the level of the liquid in the container is h and the length of the pendulum is L. (measured relative to the instantaneous center of mass) as shown in Figure P15.51b. (a) Find the period of the pendulum as a function of time. (b) What is the period of the pendulum after the liquid completely runs out of the container? Figure P15.51arrow_forward
- Consider the simplified single-piston engine in Figure CQ15.13. Assuming the wheel rotates with constant angular speed, explain why the piston rod oscillates in simple harmonic motion.arrow_forwardA block of mass M rests on a table. It is fastened to the lower end of a light, vertical spring. The upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg/k. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. In terms of m, what is the greatest possible value for m?arrow_forwardExplain why you expect an object made of a stiff material to vibrate at a higher frequency than a similar object made of a more pliable material.arrow_forward
- Use the position data for the block given in Table P16.59. Sketch a graph of the blocks a. position versus time, b. velocity versus time and c. acceleration versus time. There is no need to label the values of velocity or acceleration on those graphs. TABLE P16.59arrow_forwardOne type of toy car contains a spring that is compressed as the wheels are rolled backward along a surface. The spring remains compressed until the wheels are freed and the car is allowed to roll forward. Jose learns that if he rolls the car backward for a greater distance (up to a certain point), the car will go faster when he releases it. The spring compresses 1.00 cm for every 10.0 cm the car is rolled backward. a. Assuming the spring constant is 150.0 N/m, what is the elastic potential energy stored in the spring when Jose rolls the car backward 20.0 cm? b. What is the elastic potential energy stored in the spring when he rolls the car backward 30.0 cm? c. Explain the correlation between the results for parts (a) and (b) and Joses observations of different speeds.arrow_forwardA 300 g oscillator has a speed of 95.4 cm/s when its displacement is 3.0 cm and 71.4 cm/s when its displacement is 6.0 cm. What is the oscillator’s maximum speed?arrow_forward
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