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 38P
The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be modeled using the rotating disk. Instead of the lights being placed horizontally along the top and pointing down, place the lights vertically and have the lights shine on the side of the rotating disk. A shadow will be produced on a nearby wall, and will move up and down. Write the equations of motion for the shadow taking the position at
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The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be modeled using the rotating disk. Instead of the lights being placed horizontally along the top and pointing down, place the lights vertically and have the lights shine on the side of the rotating disk. A shadow will be produced on a nearby wall, and will move up and down. Write the equations of motion for the shadow taking the position at t = 0.0 s to be y = 0.0 m with the mass moving in the positive y-direction.
The distance y = 1.6 m. Find the upward velocity of A if the downward velocity of B is 2.1 m/s. Neglect the diameters of the pulleys.
6 m
A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of the spring and is initially released from the equilibrium position with
an upward velocity of 6 m/s.
Give the initial conditions.
x(0) =
x'(0) =
m
3
m/s
Find the equation of motion.
x(t) =
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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