Problem 1CQ Problem 2CQ: A persons heart rate is given in beats per minute. Is this a period or a frequency? Problem 3CQ: Figure Q14.3 shows the position-versus-time graph of a particle in SHM. Figure Q14.3 a. At what time... Problem 4CQ: A tall building is swaying back and forth on a gusty day. The wind picks up and doubles the... Problem 5CQ: A child is on a swing, gently swinging back and forth with a maximum angle of 5. A friend gives her... Problem 6CQ: A block oscillating on a spring has an amplitude of 20 cm. What will be the amplitude if the maximum... Problem 7CQ: A block oscillating on a spring has a maximum kinetic energy of 2.0 J. What will be the maximum... Problem 8CQ Problem 9CQ: For the graph in Figure Q14.9, determine the frequency f and the oscillation amplitude A. Figure... Problem 10CQ: For the graph in Figure Q14.10 , determine the frequency f and the oscillation amplitude A. Figure... Problem 11CQ: A block oscillating on a spring has period t = 2.0 s. a. What is the period if the block's mass is... Problem 12CQ Problem 13CQ: Flies flap their wings at frequencies much too high for pure muscle action. A hypothesis for how... Problem 14CQ: Denver is at a higher elevation than Miami; the free-fall acceleration is slightly less at this... Problem 15CQ: If you want to play a tune on wine glasses, youll need to adjust the oscillation frequencies by... Problem 16CQ Problem 17CQ Problem 18CQ: Gibbons move through the trees by swinging from successive hand holds, as we have seen. To increase... Problem 19CQ: Sprinters push off from the ball of their foot, then bend their knee to bring their foot up close to... Problem 20CQ: Humans have a range of hearing of approximately 20 Hz to 20kHz. Mice have auditory systems similar... Problem 21CQ Problem 22CQ: Weve seen that stout tendons in the legs of hopping kangaroos store energy. When a kangaroo lands,... Problem 23MCQ: A spring has an unstretched length of 20 cm. A 100 g mass hanging from the spring stretches it to an... Problem 24MCQ: Figure Q14.24 represents the motion of a mass on a spring. Figure Q14.24 a. What is the period of... Problem 25MCQ: A ball of mass m oscillates on a spring with spring constant k = 200 N/m. The balls position is x =... Problem 26MCQ Problem 27MCQ Problem 28MCQ: A heavy brass ball is used to make a pendulum with a period of 5.5 s. How long is the cable that... Problem 29MCQ: Very loud sounds can damage hearing by injuring the vibration-sensing hair cells on the basilar... Problem 1P: When a guitar string plays the note A, the string vibrates at 440 Hz. What is the period of the... Problem 2P: In the aftermath of an intense earthquake, the earth as a whole rings with a period of 54 minutes.... Problem 3P: In taking your pulse, you count 75 heartbeats in 1 min. What are the period (in s) and frequency (in... Problem 4P: A spring scale hung from the ceiling stretches by 6.4 cm when a 1.0 kg mass is hung from it. The 1.0... Problem 5P: A heavy steel ball is hung from a cord to make a pendulum. The ball is pulled to the side so that... Problem 6P: An air-track glider attached to a spring oscillates between the 10 cm mark and the 60 cm mark on the... Problem 7P: An air-track glider is attached to a spring. The glider is pulled to the right and released from... Problem 8P: What are the (a) amplitude and (b) frequency of the oscillation shown in Figure P14.8? Figure P14.8 Problem 9P: What are the (a) amplitude and (b) frequency of the oscillation shown in Figure P14.9? Figure P14.9 Problem 10P Problem 11P Problem 12P Problem 13P: Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth... Problem 14P: The New England Merchants Bank Building in Boston is 152m high. On windy days it sways with a... Problem 15P Problem 16P Problem 17P: We can model the motion of a bumblebees wing as simple harmonic motion. A bee beats its wings 250... Problem 18P Problem 19P: a. When the displacement of a mass on a spring is 12A what fraction of the mechanical energy is... Problem 20P: A 1.0 kg block is attached to a spring with spring constant 16 N/m. While the block is sitting at... Problem 21P: A block attached to a spring with unknown spring constant oscillates with a period of 2.00 s. What... Problem 22P: A 200 g air-track glider is attached to a spring. The glider is pushed 10.0 cm against the spring,... Problem 23P: The position of a 50 g oscillating mass is given by x(t) = (2.0 cm)cos(10t), where t is in seconds.... Problem 24P: A 50-em-long spring is suspended from the ceiling. A 250 g mass is connected to the end and held at... Problem 25P: A 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At one instant,... Problem 26P: A 507 g mass oscillates with an amplitude of 10.0 cm on a spring whose spring constant is 20.0 N/m.... Problem 27P: A mass on a string of unknown length oscillates as a pendulum with a period of 4.00 s. What is the... Problem 28P: The mass in a pendulum clock completes one complete swing in 1.00 s. What is the length of the rod? Problem 29P: A 200 g ball is tied to a string. It is pulled to an angle of 8.00 and released to swing as a... Problem 30P: The free-fall acceleration on the moon is 1.62 m/s2. What is the length of a pendulum whose period... Problem 31P: Astronauts on the first trip to Mars take along a pendulum that has a period on earth of 1.50 s. The... Problem 32P: A building is being knocked down with a wrecking ball, which is a big metal sphere that swings on a... Problem 33P: Interestingly, there have been several studies using cadavers to determine the moment of inertia of... Problem 34P Problem 35P: You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a... Problem 37P Problem 38P Problem 39P: The amplitude of an oscillator decreases to 36.8% of its initial value in 10.0 s. What is the value... Problem 40P: A physics department has a Foucault pendulum, a long-period pendulum suspended from the ceiling. The... Problem 41P: Calculate and draw an accurate displacement graph from t = 0 s to t = 10 s of a damped oscillator... Problem 42P: A small earthquake starts a lamppost vibrating back and forth. The amplitude of the vibration of the... Problem 43P Problem 44P Problem 45P Problem 46P: Taipei 101 (a 101-story building in Taiwan) is sited in an area that is prone to earthquakes and... Problem 47P: A 25 kg child sits on a 2.0-m-long rope swing. You are going to give the child a small, brief push... Problem 48P Problem 49P: Vision is blurred if the head is vibrated at 29 Hz because the vibrations are resonant with the... Problem 50GP: A spring has an unstretched length of 12 cm. When an 80 g ball is hung from it, the length increases... Problem 51GP: A 0.40 kg ball is suspended from a spring with spring constant 12 N/m. If the ball is pulled down... Problem 52GP Problem 53GP: A spring with spring constant 15.0 N/m hangs from the ceiling. A ball is suspended from the spring... Problem 54GP Problem 55GP Problem 56GP: A spring is hung from the ceiling. When a coffee mug is attached to its end, the spring stretches... Problem 57GP: On your first trip to Planet X you happen to take along a 200 g mass, a 40.0-cm-long spring, a meter... Problem 58GP Problem 59GP Problem 60GP: As weve seen, astronauts measure their mass by measuring the period of oscillation when sitting in a... Problem 61GP: A 100 g ball attached to a spring with spring constant 2.50 N/m oscillates horizontally on a... Problem 62GP: The ultrasonic transducer used in a medical ultrasound imaging device is a very thin disk (m = 0.10... Problem 63GP: A compact car has a mass of 1200 kg. When empty, the car bounces up and down on its springs 2.0... Problem 64GP: A car with a total mass of 1400 kg (including passengers) is driving down a washboard road with... Problem 65GP: A 500 g air-track glider attached to a spring with spring constant 10 N/m is sitting at rest on a... Problem 67GP Problem 68GP Problem 70GP Problem 71GP Problem 72GP: Orangutans can move by brachiation, swinging like a pendulum beneath successive handholds. If an... Problem 73GP: An infants toy has a 120 g wooden animal hanging from a spring. If pulled down gently, the animal... Problem 74GP Problem 75GP: A 200 g oscillator in a vacuum chamber has a frequency of 2.0 Hz. When air is admitted, the... Problem 76GP Problem 77MSPP: We can make a static measurement to deduce the spring constant to use in the model. If a 61 kg woman... Problem 78MSPP: If, during a stride, the stretch causes her center of mass to lower by 10 mm, what is the stored... Problem 79MSPP: If we imagine a full cycle of the oscillation, with the woman bouncing up and down and the tendon... Problem 80MSPP: Given what you have calculated for the period of the full oscillation in this model, what is the... Problem 81WSO: Suppose a 12 mg fly lands in the center of a horizontal spiders web, causing the web to sag by 3.0... Problem 82WSO: Modeling the motion of the fly on the web as a mass on a spring, at what frequency will the web... Problem 83WSO: If the web were vertical rather than horizontal, how would the frequency of oscillation be affected?... Problem 84WSO: Spiders are more sensitive to oscillations at higher frequencies. For example, a low-frequency... format_list_bulleted