University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 15, Problem 18CQ
Why are soldiers in general ordered to “route step” (walk out of step) across a bridge?
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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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In Problem,the displacement d (in meters) of an object at time t (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its resting position? (c) What is the time required for one oscillation? (d) What is the frequency?
Chapter 15 Solutions
University Physics Volume 1
Ch. 15 - Check Your Understanding Why would it hurt more if...Ch. 15 - Check Your Understanding Identify one way you...Ch. 15 - Check Your Understanding Identify an object that...Ch. 15 - Check Your Understanding An engineer builds two...Ch. 15 - Check Your Understanding Why are completely...Ch. 15 - Check Your Understanding A famous magic trick...Ch. 15 - What conditions must be met to produce SHM?Ch. 15 - (a) If frequency is not constant for some...Ch. 15 - Give an example of a simple harmonic oscillator,...Ch. 15 - Explain why you expect an object made of a stiff...
Ch. 15 - As you pass a freight truck with a trailer on a...Ch. 15 - Some people modify cars to be much closer to the...Ch. 15 - Describe a system in which elastic potential...Ch. 15 - Explain in terms of energy how dissipative forces...Ch. 15 - The temperature of the atmosphere oscillates from...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - A pendulum clock works by measuring the period of...Ch. 15 - With the use of a phase shift, the position of an...Ch. 15 - Give an example of a damped harmonic oscillator....Ch. 15 - How would a car bounce after a bump under each of...Ch. 15 - Most harmonic oscillators are damped and, if...Ch. 15 - Why are soldiers in general ordered to “route...Ch. 15 - Do you think there is any harmonic motion in the...Ch. 15 - Some engineers use sound to diagnose performance...Ch. 15 - Prove that using x(t)=Asin(t+) will produce the...Ch. 15 - What is the period of 60.0 Hz of electrical power?Ch. 15 - If your heart rate is 150 beats per minute during...Ch. 15 - Find the frequency of a tuning fork that takes...Ch. 15 - A stroboscope is set to flash every 8.00105 s....Ch. 15 - A tire has a tread pattern with a crevice every...Ch. 15 - Each piston of an engine makes a sharp sound every...Ch. 15 - A type of cuckoo clock keeps time by having a mass...Ch. 15 - A mass m0is attached to a spring and hung...Ch. 15 - A 0.500-kg mass suspended from a spring oscillates...Ch. 15 - By how much leeway (both percentage and mass)...Ch. 15 - Fish are hung on a spring scale to determine their...Ch. 15 - It is weigh-in time for the local under-85-kg...Ch. 15 - One type of BB gun uses a spring-driven plunger to...Ch. 15 - When an 80.0-kg man stands on a pogo stick, the...Ch. 15 - A spring has a length of 0.200 m when a 0.300-kg...Ch. 15 - The length of nylon rope from which a mountain...Ch. 15 - The motion of a mass on a spring hung vertically,...Ch. 15 - (a) A novelty clock has a 0.0100-kg-mass object...Ch. 15 - Reciprocating motion uses the rotation of a motor...Ch. 15 - A student stands on the edge of a merry-go-round...Ch. 15 - What is the length of a pendulum that has a period...Ch. 15 - Some people think a pendulum with a period of 1.00...Ch. 15 - What is the period of a 1.00-m-long pendulum?Ch. 15 - How long does it take a child on a swing to...Ch. 15 - The pendulum on a cuckoo clock is 5.00-cm long....Ch. 15 - Two parakeets sit on a swing with their combined...Ch. 15 - (a) A pendulum that has a period of 3.00000 s and...Ch. 15 - A pendulum with a period of 2.00000 s in one...Ch. 15 - (a) What is the effect on the period of a pendulum...Ch. 15 - The amplitude of a lightly damped oscillator...Ch. 15 - How much energy must the shock absorbers of a...Ch. 15 - If a car has a suspension system with a force...Ch. 15 - (a) How much will a spring that has a force...Ch. 15 - Suppose you have a 0.750-kg object on a horizontal...Ch. 15 - Suppose you attach an object with mass m to a...Ch. 15 - A diver on a diving board is undergoing SHM. Her...Ch. 15 - Suppose a diving board with no one on it bounces...Ch. 15 - The device pictured in the following figure...Ch. 15 - A mass is placed on a frictionless, horizontal...Ch. 15 - Find the ratio of the new/old periods of a...Ch. 15 - At what rate will a pendulum clock run on the...Ch. 15 - If a pendulum-driven clock gains 5.00 s/day, what...Ch. 15 - A 2.00-kg object hangs, at rest, on a 1.00-m-long...Ch. 15 - A 2.00-kg object hangs, at rest, on a 1.00-m-long...Ch. 15 - Assume that a pendulum used to drive a grandfather...Ch. 15 - A 2.00-kg block lies at rest on a frictionless...Ch. 15 - A suspension bridge oscillates with an effective...Ch. 15 - Near the top of the Citigroup Center building in...Ch. 15 - Parcels of air (small volumes of air) in a stable...Ch. 15 - Consider the van der Waals potential U(r)=U0[( R 0...Ch. 15 - Suppose the length of a clock’s pendulum is...Ch. 15 - (a) The springs of a pickup truck act like a...
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- Why are soldiers in general ordered to “route step" (walk out of step) across a bridge?arrow_forwardUse 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_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_forward
- A 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_forwardIn Problem,the distance d (in feet) that an object travels in time t (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its rest position? (c) What is the time required for one oscillation? (d) What is the frequency? . d=6sin(2t).arrow_forward(a) If your heart rate is 150 beats per minute during strenuous exercise, what is the time per beat in units of seconds? T= ✓ s (b) Find the frequency of a tuning fork that takes 0.00275 s to complete one oscillation. f= Hzarrow_forward
- In taking your pulse, you count 75 heartbeats in 1 min. What are the period (in s) and frequency (in Hz) of your heart’s oscillations?arrow_forwardA building in San Francisco has light fixtures consisting of small 2.35 kg bulbs with shades hanging from the ceiling at the end of light, thin cords 1.50 m long. If a minor earthquake occurs, how many swings per second will these fixtures make?arrow_forwardQuestion 6! Please and thank you! Make sure the answer is in the correct units!arrow_forward
- A basketball coach paces back and forth along the sideline 17 times in 6 minutes. The frequency of her pacing is _________________ Hz.arrow_forwardOn an average a human heart is found to beat 75times in a minute. Calculate its frequency and period.arrow_forwardEach piston of an engine makes a sharp sound every other revolution of the engine. (a) How fast is a race car going if its eight-cylinder engine emits a sound of frequency 750 Hz, given that the engine makes 2000 revolutions per kilometer?(b) At how many revolutions per minute is the engine rotating?arrow_forward
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