College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 11, Problem 8CQ
It is easy to get mixed up and think that the angular frequency to of a pendulum is equal to
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We might assume that the period of a simple pendulum depends on the mass M, the length l of the string and g the acceleration due to gravity, i.e T is directly proportional to m l g. Consider the dimensions of the quantities involved to deduce the values of alpha, beta, gamma hence show that T is directly proportional to √l/g
The period p of a pendulum, or time it takes for the pendulum, or the time it takes for the pendulum to make one complete swing, varies directly as the square root of the length L of the pedulum. If the period of a pendulum is 1.1 s when the length is 2 f, find the period when the length is 7 ft. Round to the nearest hundredth.
Chapter 11 Solutions
College Physics (10th Edition)
Ch. 11 - Think of several examples in everyday life of...Ch. 11 - The analysis of simple harmonic motion in this...Ch. 11 - In any periodic motion, unavoidable friction...Ch. 11 - At what point in the motion of a simple pendulum...Ch. 11 - Which could you use as a timekeeping device in an...Ch. 11 - What happens to the original energy as a damped...Ch. 11 - Distinguish clearly between the angular frequency...Ch. 11 - It is easy to get mixed up and think that the...Ch. 11 - If a metal wire has its length doubled and its...Ch. 11 - Would you expect a rubber band to have a larger or...
Ch. 11 - In designing structures in an earthquake-prone...Ch. 11 - A springmass system is undergoing simple harmonic...Ch. 11 - Suppose you increase the amplitude of oscillation...Ch. 11 - An object of mass M suspended by a spring vibrates...Ch. 11 - When two wires of identical dimensions are used to...Ch. 11 - A mass on a spring oscillates with a period T. If...Ch. 11 - A pendulum oscillates with a period T. If both the...Ch. 11 - When a 100 kg mass is hung from a cable made of a...Ch. 11 - An object with mass M suspended by a spring...Ch. 11 - A pendulum on earth swings with angular frequency...Ch. 11 - A mass oscillates with simple harmonic motion of...Ch. 11 - A thin, light wire 75.0 cm long having a circular...Ch. 11 - A petite young woman distributes her 500 N weight...Ch. 11 - Two circular rods, one steel and the other copper,...Ch. 11 - A 5.0 kg mass is hung by a vertical steel wire...Ch. 11 - Biceps muscle. A relaxed biceps muscle requires a...Ch. 11 - Stress on a mountaineers rope. A nylon rope used...Ch. 11 - A steel wire 2.00 m long with circular cross...Ch. 11 - Achilles tendon. The Achilles tendon, which...Ch. 11 - Human hair. According to one set of measurements,...Ch. 11 - The effect of jogging on the knees. High-impact...Ch. 11 - A small aluminum sphere is placed in a vacuum...Ch. 11 - In the Challenger Deep of the Marianas Trench, the...Ch. 11 - Effect of diving on blood. It is reasonable to...Ch. 11 - Shear forces are applied to a rectangular solid....Ch. 11 - Compression of human bone. The bulk modulus for...Ch. 11 - In Figure 11.30, suppose the object is a square...Ch. 11 - Figure 11.31 Problem 17. 17. A cube of brass has a...Ch. 11 - A steel wire has the following properties: Length...Ch. 11 - A steel cable with cross-sectional area of 3.00...Ch. 11 - Weight lifting. The legs of a weight lifter must...Ch. 11 - (a) Music. When a person sings, his or her vocal...Ch. 11 - Find the period, frequency, and angular frequency...Ch. 11 - If an object on a horizontal frictionless surface...Ch. 11 - The graph shown in Figure 11.32 closely...Ch. 11 - The wings of the blue-throated hummingbird, which...Ch. 11 - A 0.500 kg glider on an air track is attached to...Ch. 11 - A toy is undergoing SHM on the end of a horizontal...Ch. 11 - A 2.00 kg frictionless block is attached to an...Ch. 11 - A 2.00 kg frictionless block is attached to an...Ch. 11 - You are watching an object that is moving in SHM....Ch. 11 - A mass is oscillating with amplitude A at the end...Ch. 11 - (a) If a vibrating system has total energy E0,...Ch. 11 - A 2.40 kg ball is attached to an unknown spring...Ch. 11 - A concrete block is hung from an ideal spring that...Ch. 11 - One end of a stretched ideal spring is attached to...Ch. 11 - A mass of 0.20 kg on the end of a spring...Ch. 11 - A harmonic oscillator is made by using a 0.600 kg...Ch. 11 - Weighing astronauts. In order to study the...Ch. 11 - Prob. 39PCh. 11 - An object of unknown mass is attached to an ideal...Ch. 11 - A science museum has asked you to design a simple...Ch. 11 - A simple pendulum in a science museum entry hall...Ch. 11 - Youve made a simple pendulum with a length of 1.55...Ch. 11 - A pendulum consisting of a 0.5 kg mass tied to a...Ch. 11 - A pendulum on Mars. A certain simple pendulum has...Ch. 11 - In the laboratory, a student studies a pendulum by...Ch. 11 - (a) If a pendulum has period T and you double its...Ch. 11 - A 1.35 kg object is attached to a horizontal...Ch. 11 - A 2.50 kg rock is attached at the end of a thin,...Ch. 11 - A mass is vibrating at the end of a spring of...Ch. 11 - What is the maximum kinetic energy of the...Ch. 11 - A small cylindrical brass bar of length 1 cm and...Ch. 11 - An astronaut uses a simple pendulum to measure the...Ch. 11 - An astronaut notices that a pendulum that took...Ch. 11 - An object suspended from a spring vibrates with...Ch. 11 - A pendulum is formed by taking a 2 kg mass and...Ch. 11 - An apple weighs 1.00 N. When you hang it from the...Ch. 11 - A block with mass M rests on a frictionless...Ch. 11 - In Figure 11.38 the upper ball is released from...Ch. 11 - A 15.0 kg mass fastened to the end of a steel wire...Ch. 11 - You hang a floodlamp from the end of a vertical...Ch. 11 - Tendon-stretching exercises. As part of an...Ch. 11 - A 100 kg mass suspended from a wire whose...Ch. 11 - A brass rod with a length of 1.40 m and a...Ch. 11 - Crude oil with a bulk modulus of 2.35 GPa is...Ch. 11 - Seeing surfaces at the nanoscale. One technique...Ch. 11 - What is the mechanical energy of the vibration...Ch. 11 - By what percentage does the frequency of...
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