Problem 14.1DQ: An object is moving with SHM of amplitude A on the end of a spring. If the amplitude is doubled,... Problem 14.2DQ: Think of several examples in everyday life of motions that are, at least approximately, simple... Problem 14.3DQ: Does a tuning fork or similar tuning instrument undergo SUM? Why is this a crucial question for... Problem 14.4DQ: A box containing a pebble is attached to an ideal horizontal spring and is oscillating on a... Problem 14.5DQ: If a uniform spring is cut in half, what is the force constant of each half? Justify your answer.... Problem 14.6DQ: A glider is attached to a fixed ideal spring and oscillates on a horizontal, friction-free air... Problem 14.7DQ: Two identical gliders on an air track are connected by an ideal spring. Could such a system undergo... Problem 14.8DQ: You are captured by Martians, taken into their ship, and put to sleep. You awake some time later and... Problem 14.9DQ: The system shown in Fig. 14.17 is mounted in an elevator. What happens to the period of the motion... Problem 14.10DQ: If a pendulum has a period of 2.5 s on earth, what would be its period in a space station orbiting... Problem 14.11DQ: A simple pendulum is mounted in an elevator. What happens to the period of the pendulum (does it... Problem 14.12DQ: What should you do to the length of the string of a simple pendulum to (a) double its frequency; (b)... Problem 14.13DQ: If a pendulum clock is taken to a mountaintop, does it gain or lose time, assuming it is correct at... Problem 14.14DQ: When the amplitude of a simple pendulum increases, should its period increase or decrease? Give a... Problem 14.15DQ Problem 14.16DQ: At what point in the motion of a simple pendulum is the string tension greatest? Least? In each case... Problem 14.17DQ: Could a standard of time be based on the period of a certain standard pendulum? What advantages and... Problem 14.18DQ: For a simple pendulum, clearly distinguish between (the angular speed) and (the angular... Problem 14.19DQ: In designing structures in an earthquake-prone region, how should the natural frequencies of... Problem 14.1E: BIO (a) Music. When a person sings, his or her vocal cords vibrate in a repetitive pattern that has... Problem 14.2E: If an object on a horizontal, frictionless surface is attached to a spring, displaced, and then... Problem 14.3E: The tip of a tuning fork goes through 440 complete vibrations in 0.500 s. Find the angular frequency... Problem 14.4E: The displacement of an oscillating object as a function of time is shown in Fig. E14.4. What are (a)... Problem 14.5E: A machine part is undergoing SUM with a frequency of 4.00 Hz and amplitude 1.80 cm. How long does it... Problem 14.6E: BIO The wings of the blue-throated hummingbird (Lampornis clemenciae), which inhabits Mexico and the... Problem 14.7E: A 2.40-kg ball is attached to an unknown spring and allowed to oscillate. Figure E14.7 shows a graph... Problem 14.8E: In a physics lab, you attach a 0.200-kg air-track glider to the end of an ideal spring of negligible... Problem 14.9E: When a body of unknown mass is attached to an ideal spring with force constant 120 N/m, it is found... Problem 14.10E: When a 0.750-kg mass oscillates on an ideal spring, the frequency is 1.75 Hz. What will the... Problem 14.11E: An object is undergoing SHM with period 0.900 s and amplitude 0.320 m. At t = 0 the object is at x =... Problem 14.12E: A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless... Problem 14.13E: A 2.00-kg. frictionless block is attached to an ideal spring with force constant 300 N/m. At t = 0... Problem 14.14E: Repeat Exercise 14.13, but assume that at t = 0 the block has velocity 4.00 m/s and displacement... Problem 14.15E: The point of the needle of a sewing machine moves in SHM along the x-axis with a frequency of 2.5... Problem 14.16E: A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless... Problem 14.17E: BIO Weighing Astronauts. This procedure has been used to weigh astronauts in space: A 42.5-kg chair... Problem 14.18E: A 0.400-kg object undergoing SHM has ax = 1.80 m/s2 when x = 0.300 m. What is the time for one... Problem 14.19E: On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force... Problem 14.20E: A 0.500-kg mass on a spring has velocity as a function of time given by vx(t) = (3.60 cm/s)... Problem 14.21E: A 1.50-kg mass on a spring has displacement as a function of time given by... Problem 14.22E: BIO Weighing a Virus. In February 2004, scientists at Purdue University used a highly sensitive... Problem 14.23E: CALC Jerk. A guitar string vibrates at a frequency of 440 Hz. A point at its center moves in SHM... Problem 14.24E: For the oscillating object in Fig. E14.4, what are (a) its maximum speed and (b) its maximum... Problem 14.25E: A small block is attached to an ideal spring and is moving in SHM on a horizontal frictionless... Problem 14.26E: A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless... Problem 14.27E: A 0.150-kg toy is undergoing SHM on the end of a horizontal spring with force constant k = 300 N/m.... Problem 14.28E: A harmonic oscillator has angular frequency and amplitude A. (a) What are the magnitudes of the... Problem 14.29E: A 0.500-kg glider, attached to the end of an ideal spring with force constant k = 450 N/m, undergoes... Problem 14.30E: A cheerleader waves her pom-pom in SHM with an amplitude of 18.0 cm and a frequency of 0.850 Hz.... Problem 14.31E: CP For the situation described in part (a) of Example 14.5, what should be the value of the putty... Problem 14.32E: A block with mass m = 0.300 kg is attached to one end of an ideal spring and moves on a horizontal... Problem 14.33E: You are watching an object that is moving in SHM. When the object is displaced 0.600 m to the right... Problem 14.34E: A 2.00-kg frictionless block is attached to an ideal spring with force constant 315 N/m. Initially... Problem 14.35E: A 2.00-kg frictionless block attached to an ideal spring with force constant 315 N/m is undergoing... Problem 14.36E: A mass is oscillating with amplitude A at the end of a spring. How far (in terms of A) is this mass... Problem 14.37E: A 175-g glider on a horizontal, frictionless air track is attached to a fixed ideal spring with... Problem 14.38E: A proud deep-sea fisherman hangs a 65.0-kg fish from an ideal spring having negligible mass. The... Problem 14.39E: A thrill-seeking cat with mass 4.00 kg is attached by a harness to an ideal spring of negligible... Problem 14.40E: A uniform, solid metal disk of mass 6.50 kg and diameter 24.0 cm hangs in a horizontal plane,... Problem 14.41E: A certain alarm clock ticks four times each second, with each tick representing half a period. The... Problem 14.42E: A thin metal disk with mass 2.00 103 kg and radius 2.20 cm is attached at its center to a long... Problem 14.43E: You want to find the moment of inertia of a complicated machine part about an axis through its... Problem 14.44E: CALC The balance wheel of a watch vibrates with an angular amplitude . angular frequency , and phase... Problem 14.45E: You pull a simple pendulum 0.240 m long to the side through an angle of 3.50 and release it. (a) How... Problem 14.46E: An 85.0-kg mountain climber plans to swing down, starting from rest, from a ledge using a light rope... Problem 14.47E: A building in San Francisco has light fixtures consisting of small 2.35-kg bulbs with shades hanging... Problem 14.48E: A Pendulum on Mars. A certain simple pendulum has a period on the earth of 1.60 s. What is its... Problem 14.49E: After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 50.0... Problem 14.50E: In the laboratory, a student studies a pendulum by graphing the angle that the string makes with... Problem 14.51E: A simple pendulum 2.00 m long swings through a maximum angle of 30.0 with the vertical. Calculate... Problem 14.52E: A small sphere with mass m is attached to a massless rod of length L that is pivoted at the top,... Problem 14.53E: Two pendulums have the same dimensions (length L) and total mass (m). Pendulum A is a very small... Problem 14.54E: We want to hang a thin hoop on a horizontal nail and have the hoop make one complete small-angle... Problem 14.55E: A 1.80-kg connecting rod from a car engine is pivoted about a horizontal knife edge as shown in Fig.... Problem 14.56E Problem 14.57E: The two pendulums shown in Fig. E14.57 each consist of a uniform solid ball of mass M supported by a... Problem 14.58E: CP A holiday ornament in the shape of a hollow sphere with mass M = 0.015 kg and radius R = 0.050 m... Problem 14.59E: A 1.35-kg object is attached to a horizontal spring of force constant 2.5 N/cm. The object is... Problem 14.60E: A 50.0-g hard-boiled egg moves on the end of a spring with force constant k = 25.0 N/m. Its initial... Problem 14.61E: An unhappy 0.300-kg rodent, moving on the end of a spring with force constant k = 2.50 N/m, is acted... Problem 14.62E: A mass is vibrating at the end of a spring of force constant 225 N/m. Figure E14.62 shows a graph of... Problem 14.63E: A sinusoidally varying driving force is applied to a damped harmonic oscillator of force constant k... Problem 14.64P: An object is undergoing SHM with period 0.300 s and amplitude 6.00 cm. At t = 0 the object is... Problem 14.65P: An object is undergoing SHM with period 1.200 s and amplitude 0.600 m. At t = 0 the object is at x =... Problem 14.66P: Four passengers with combined mass 250 kg compress the springs of a car with worn-out shock... Problem 14.67P: At the end of a ride at a winter-theme amusement park, a sleigh with mass 250 kg (including: two... Problem 14.68P: CP A block with mass M rests on a frictionless surface and is connected to a horizontal spring of... Problem 14.69P: A 1.50-kg, horizontal, uniform tray is attached to a vertical ideal spring of force constant 185 N/m... Problem 14.70P: CP A 10.0-kg mass is traveling to the right with a speed of 2.00 m/s on a smooth horizontal surface... Problem 14.71P: An apple weighs 1.00 N. When you hang it from the end of a long spring of force constant 1.50 N/m... Problem 14.72P: CP SHM of a Floating Object. An object with height h, mass M, and a uniform cross-sectional area A... Problem 14.73P: CP A square object of mass m is constructed of four identical uniform thin sticks, each of length L,... Problem 14.74P: An object with mass 0.200 kg is acted on by an elastic restoring force with force constant 10.0 N/m.... Problem 14.75P: CALC A 2.00-kg bucket containing 10.0 kg of water is hanging from a vertical ideal spring of force... Problem 14.76P: A uniform beam is suspended horizontally by two identical vertical springs that are attached between... Problem 14.77P: A 5.00-kg partridge is suspended from a pear tree by an ideal spring of negligible mass. When the... Problem 14.78P: A 0.0200-kg bolt moves with SHM that has an amplitude of 0.240 m and a period of 1.500 s. The... Problem 14.79P: CP SHM of a Butchers Scale. A spring of negligible mass and force constant k = 400 N/m is hung... Problem 14.80P: A 40.0-N force stretches a vertical spring 0.250 m. (a) What mass must be suspended from the spring... Problem 14.81P: Dont Miss the Boat. While on a visit to Minnesota (Land of 10,000 Lakes), you sign up to take an... Problem 14.82P: CP An interesting, though highly impractical example of oscillation is the motion of an object... Problem 14.83P: CP A rifle bullet with mass 8.00 g and initial horizontal velocity 280 m/s strikes and embeds itself... Problem 14.84P: CP Two uniform solid spheres, each with mass M = 0.800 kg and radius R = 0.0800 m, are connected by... Problem 14.85P: CP In Fig. P14.85 the upper ball is released from rest, collides with the stationary lower ball, and... Problem 14.86P: The Silently Ringing Bell. A large, 34.0-kg bell is hung from a wooden beam so it can swing back and... Problem 14.87P: CALC A slender, uniform, metal rod with mass M is pivoted without friction about an axis through its... Problem 14.88P: Two identical thin rods, each with mass m and length L, are joined at right angles to form an... Problem 14.89P: DATA A mass m is attached to a spring of force constant 75 N/m and allowed to oscillate. Figure... Problem 14.90P: DATA You hang various masses m from the end of a vertical, 0.250-kg spring that obeys Hookes law and... Problem 14.91P: DATA Experimenting with pendulums, you attach a light string to the ceiling and attach a small metal... Problem 14.92CP: The Effective Force Constant of Two Springs. Two springs with the same unstretched length hut... Problem 14.93CP: CALC A Spring with Mass. The preceding problems in this chapter have assumed that the springs had... Problem 14.94PP: BIO SEEING SURFACES AT THE NANOSCALE. One technique for making images of surfaces at the nanometer... Problem 14.95PP: In the model of Problem 14.94, what is the mechanical energy of the vibration when the tip is not... Problem 14.96PP: By what percentage does the frequency of oscillation change if ksurf = 5 N/m? (a) 0.1%; (b) 0.2%;... format_list_bulleted