University Physics Volume 1 18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: William Moebs, Samuel J. Ling, Jeff Sanny
1 Units And Measurement 2 Vectors 3 Motion Along A Straight Line 4 Motion In Two And Three Dimensions 5 Newton's Law Of Motion 6 Applications Of Newton's Laws 7 Work And Kinetic Energy 8 Potential Energy And Conservation Of Energy 9 Linear Momentum And Collisions 10 Fixed-axis Rotation 11 Angular Momentum 12 Static Equilibrium And Elasticity 13 Gravitation 14 Fluid Mechanics 15 Oscillations 16 Waves 17 Sound Chapter15: Oscillations
Chapter Questions Section: Chapter Questions
Problem 15.1CYU: Check Your Understanding Why would it hurt more if you snapped your hand with a ruler than with a... Problem 15.2CYU: Check Your Understanding Identify one way you could decrease the maximum velocity of a simple... Problem 15.3CYU: Check Your Understanding Identify an object that undergoes uniform circular motion. Describe how you... Problem 15.4CYU: Check Your Understanding An engineer builds two simple pendulums. Both are suspended from small... Problem 15.5CYU: Check Your Understanding Why are completely undamped harmonic oscillators so rare? Problem 15.6CYU: Check Your Understanding A famous magic trick involves a performer singing a note toward a crystal... Problem 1CQ: What conditions must be met to produce SHM? Problem 2CQ: (a) If frequency is not constant for some oscillation, can the oscillation be SHM? (b) Can you think... Problem 3CQ: Give an example of a simple harmonic oscillator, specifically noting how its frequency is... Problem 4CQ: Explain why you expect an object made of a stiff material to vibrate at a higher frequency than a... Problem 5CQ: As you pass a freight truck with a trailer on a highway, you notice that its trailer is bouncing up... Problem 6CQ: Some people modify cars to be much closer to the ground than when manufactured. Should they install... Problem 7CQ: Describe a system in which elastic potential energy is stored. Problem 8CQ: Explain in terms of energy how dissipative forces such as friction reduce the amplitude of a... Problem 9CQ: The temperature of the atmosphere oscillates from a maximum near noontime and a minimum near... Problem 10CQ: Can this analogy of SHM to circular motion be carried out with an object oscillating on a spring... Problem 11CQ: Can this analogy of SHM to circular motion be carried out with an object oscillating on a spring... Problem 12CQ: Can this analogy of SHM to circular motion be carried out with an object oscillating on a spring... Problem 13CQ: A pendulum clock works by measuring the period of a pendulum. In the springtime the clock runs with... Problem 14CQ: With the use of a phase shift, the position of an object may be modeled as a cosine or sine... Problem 15CQ: Give an example of a damped harmonic oscillator. (They are more common than undamped or simple... Problem 16CQ: How would a car bounce after a bump under each of these conditions? (a) overdamping (b) underdamping... Problem 17CQ: Most harmonic oscillators are damped and, if undriven, eventually come to a stop. Why? Problem 18CQ: Why are soldiers in general ordered to “route step” (walk out of step) across a bridge? Problem 19CQ: Do you think there is any harmonic motion in the physical world that is not damped harmonic motion?... Problem 20CQ: Some engineers use sound to diagnose performance problems with car engines. Occasionally, a part of... Problem 21P: Prove that using x(t)=Asin(t+) will produce the same results for the period for the oscillations of... Problem 22P: What is the period of 60.0 Hz of electrical power? Problem 23P: If your heart rate is 150 beats per minute during strenuous exercise, what is the time per beat in... Problem 24P: Find the frequency of a tuning fork that takes 2.50103 s to complete one oscillation. Problem 25P: A stroboscope is set to flash every 8.00105 s. What is the frequency of the flashes? Problem 26P: A tire has a tread pattern with a crevice every 2.00 cm. Each crevice makes a single vibration as... Problem 27P: Each piston of an engine makes a sharp sound every other revolution of the engine. (a) How fast is a... Problem 28P: A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like... Problem 29P: A mass m0is attached to a spring and hung vertically. The mass is raised a short distance in the... Problem 30P: A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be... Problem 31P: By how much leeway (both percentage and mass) would you have in the selection of the mass of the... Problem 32P: Fish are hung on a spring scale to determine their mass. (a) What is the force constant of the... Problem 33P: It is weigh-in time for the local under-85-kg rugby team. The bathroom scale used to assess... Problem 34P: One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the... Problem 35P: When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force... Problem 36P: A spring has a length of 0.200 m when a 0.300-kg mass hangs from it, and a length of 0.750 m when a... Problem 37P: The length of nylon rope from which a mountain climber is suspended has an effective force constant... Problem 38P: The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be... Problem 39P: (a) A novelty clock has a 0.0100-kg-mass object bouncing on a spring that has a force constant of... Problem 40P: Reciprocating motion uses the rotation of a motor to produce linear motion up and down or back and... Problem 41P: A student stands on the edge of a merry-go-round which rotates five times a minute and has a radius... Problem 42P: What is the length of a pendulum that has a period of 0.500 s? Problem 43P: Some people think a pendulum with a period of 1.00 s can be driven with “mental energy” or psycho... Problem 44P: What is the period of a 1.00-m-long pendulum? Problem 45P: How long does it take a child on a swing to complete one swing if her center of gravity is 4.00 m... Problem 46P: The pendulum on a cuckoo clock is 5.00-cm long. What is its frequency? Problem 47P: Two parakeets sit on a swing with their combined CMs 10.0 cm below the pivot. At what frequency do... Problem 48P: (a) A pendulum that has a period of 3.00000 s and that is located where the acceleration due to... Problem 49P: A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where... Problem 50P: (a) What is the effect on the period of a pendulum if you double its length? (b) What is the effect... Problem 51P: The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of... Problem 52P: How much energy must the shock absorbers of a 1200-kg car dissipate in order to damp a bounce that... Problem 53P: If a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the... Problem 54P: (a) How much will a spring that has a force constant of 40.0 N/m be stretched by an object with a... Problem 55P: Suppose you have a 0.750-kg object on a horizontal surface connected to a spring that has a force... Problem 56AP: Suppose you attach an object with mass m to a vertical spring originally at rest, and let it bounce... Problem 57AP: A diver on a diving board is undergoing SHM. Her mass is 55.0 kg and the period of her motion is... Problem 58AP: Suppose a diving board with no one on it bounces up and down in a SHM with a frequency of 4.00 Hz.... Problem 59AP: The device pictured in the following figure entertains infants while keeping them from wandering.... Problem 60AP: A mass is placed on a frictionless, horizontal table. A spring (k=100N/m) , which can be stretched... Problem 61AP: Find the ratio of the new/old periods of a pendulum if the pendulum were transported from Earth to... Problem 62AP: At what rate will a pendulum clock run on the Moon, where the acceleration due to gravity is 1.63... Problem 63AP: If a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made... Problem 64AP: A 2.00-kg object hangs, at rest, on a 1.00-m-long string attached to the ceiling. A 100-g mass is... Problem 65AP: A 2.00-kg object hangs, at rest, on a 1.00-m-long string attached to the ceiling. A 100-g object is... Problem 66AP: Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at... Problem 67AP: A 2.00-kg block lies at rest on a frictionless table. A spring, with a spring constant of 100 N/m is... Problem 68CP: A suspension bridge oscillates with an effective force constant of 1.00108 N/m . (a) How much energy... Problem 69CP: Near the top of the Citigroup Center building in New York City, there is an object with mass of... Problem 70CP: Parcels of air (small volumes of air) in a stable atmosphere (where the temperature increases with... Problem 71CP: Consider the van der Waals potential U(r)=U0[( R 0 r)122( R 0 r)6] , used to model the potential... Problem 72CP: Suppose the length of a clock’s pendulum is changed by 1.000%, exactly at noon one day. What time... Problem 73CP: (a) The springs of a pickup truck act like a single spring with a force constant of 1.30105 N/m . By... Problem 53P: If a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the...
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A simple pendulum is constructed by placing a small ball of mass 0.18g at the end of string of length 1.02m. Supposing the string to be massless, what is the period (in seconds) of oscillation for small angular displacements ?
Definition Definition Angle at which a point rotates around a specific axis or center in a given direction. Angular displacement is a vector quantity and has both magnitude and direction. The angle built by an object from its rest point to endpoint created by rotational motion is known as angular displacement. Angular displacement is denoted by θ, and the S.I. unit of angular displacement is radian or rad.
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