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... format_list_bulleted