FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 15, Problem 65P
A loudspeaker diaphragm is oscillating in
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A loudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 440 Hz and a maximum displacement of 0.75 mm. What are the (a) angular frequency, (b) maximum speed, and (c) magnitude of the maximum acceleration?
Chapter 15 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 15 - Which of the following relationships between the...Ch. 15 - An object undergoing simple harmonic motion takes...Ch. 15 - A 0.12 kg body undergoes simple harmonic motion of...Ch. 15 - What is the maximum acceleration of a platform...Ch. 15 - An automobile can be considered to be mounted on...Ch. 15 - SSM In an electric shaver, the blade moves back...Ch. 15 - A particle with a mass of 1.00 1020 kg is...Ch. 15 - SSM A loudspeaker produces a musical sound by...Ch. 15 - The position function x = 6.0 m cos3 rad/st /3...Ch. 15 - An oscillating blockspring system takes 0.75 s to...
Ch. 15 - SSM An oscillator consists of a block of mass...Ch. 15 - A simple harmonic oscillator consists of a block...Ch. 15 - SSM Two particles oscillate in simple harmonic...Ch. 15 - Two particles execute simple harmonic motion of...Ch. 15 - ILW An oscillator consists of a block attached to...Ch. 15 - GO At a certain harbor, the tides cause the ocean...Ch. 15 - A block rides on a piston a squat cylindrical...Ch. 15 - SSM WWW A block is on a horizontal surface a shake...Ch. 15 - SSM When the displacement in SHM is one-half the...Ch. 15 - SSM Find the mechanical energy of a blockspring...Ch. 15 - An oscillating blockspring system has a mechanical...Ch. 15 - ILW A 5.00 kg object on a horizontal frictionless...Ch. 15 - A 10 g particle undergoes SHM with an amplitude of...Ch. 15 - If the phase angle for a blockspring system in SHM...Ch. 15 - GO A massless spring hangs from the ceiling with a...Ch. 15 - A 95 kg solid sphere with a 15 cm radius is...Ch. 15 - SSM WWW The balance wheel of an old-fashioned...Ch. 15 - ILW A physical pendulum consists of a meter stick...Ch. 15 - Suppose that a simple pendulum consists of a small...Ch. 15 - A performer seated on a trapeze is swinging back...Ch. 15 - Prob. 50PCh. 15 - GO A pendulum is formed by pivoting a long thin...Ch. 15 - The amplitude of a lightly damped oscillator...Ch. 15 - The suspension system of a 2000 kg automobile sags...Ch. 15 - Hanging from a horizontal beam are nine simple...Ch. 15 - A. 1000 kg car carrying four 82 kg people travels...Ch. 15 - Although California is known for earthquakes, is...Ch. 15 - A loudspeaker diaphragm is oscillating in simple...Ch. 15 - A 2.00 kg block hangs from a spring. A 300 g body...Ch. 15 - SSM In the engine of a locomotive, a cylindrical...Ch. 15 - A 50.0 g stone is attached to the bottom of a...Ch. 15 - A uniform circular disk: whose radius R is 12.6 cm...Ch. 15 - SSM A vertical spring stretches 9.6 cm when a 1.3...Ch. 15 - A massless spring with spring constant 19 N/m...Ch. 15 - A 4.00 kg block is suspended from a spring with k...Ch. 15 - A 55.0 g block oscillates in SHM on the end of a...Ch. 15 - A block is in SHM on the end of a spring, with...Ch. 15 - A simple pendulum of length 20 cm and mass 5.0 g...Ch. 15 - The scale of a spring balance that reads from 0 to...Ch. 15 - A 0.10 kg block oscillates back and forth along a...Ch. 15 - The end point of a spring oscillates with a period...Ch. 15 - The tip of one prong of a tuning fork undergoes...Ch. 15 - Prob. 87PCh. 15 - A block weighing 20 N oscillates at one end of a...Ch. 15 - A 3.0 kg particle is in simple harmonic motion in...Ch. 15 - A particle executes linear SHM with frequency 0.25...Ch. 15 - SSM What is the frequency of a simple pendulum 2.0...Ch. 15 - A 4.00 kg block hangs from a spring, extending it...Ch. 15 - An engineer has an odd-shaped 10 kg object and...Ch. 15 - A spider can tell when its web has captured, say,...Ch. 15 - When a 20 N can is hung from the bottom of a...Ch. 15 - For a simple pendulum, find the angular amplitude...Ch. 15 - SSM A 1.2 kg block sliding on a horizontal...Ch. 15 - A simple harmonic oscillator consists of an 0.80...Ch. 15 - A block sliding on a horizontal frictionless...Ch. 15 - A damped harmonic oscillator consists of a block m...Ch. 15 - Prob. 105PCh. 15 - Prob. 106PCh. 15 - Prob. 107PCh. 15 - Prob. 108PCh. 15 - Prob. 109PCh. 15 - Prob. 110PCh. 15 - Prob. 111P
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- We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.arrow_forwardFor each expression, identify the angular frequency , period T, initial phase and amplitude ymax of the oscillation. All values are in SI units. a. y(t) = 0.75 cos (14.5t) b. vy (t) = 0.75 sin (14.5t + /2) c. ay (t) = 14.5 cos (0.75t + /2) 16.3arrow_forwardA simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its position to change from x = A to x = A/2 in terms of the period T.arrow_forward
- The expression x = 8.50 cos (2.40 t + /2) describes the position of an object as a function of time, with x in centimeters and t in seconds. What are the a. frequency, b. period, c. amplitude, and d. initial phase of the objects motion? e. What is the position of the particle at t = 1.45 s?arrow_forwardWhich of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.arrow_forwardIn an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = 0, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.arrow_forward
- The equations listed in Table 2.2 give position as a function of time, velocity as a function of time, and velocity as a function of position for an object moving in a straight line with constant acceleration. The quantity vxi appears in every equation. (a) Do any of these equations apply to an object moving in a straight line with simple harmonic motion? (b) Using a similar format, make a table of equations describing simple harmonic motion. Include equations giving acceleration as a function of time and acceleration as a function of position. State the equations in such a form that they apply equally to a blockspring system, to a pendulum, and to other vibrating systems. (c) What quantity appears in every equation?arrow_forwardThe position of a particle attached to a vertical spring is given by y=(y0cost)j. The y axis points upward, y0 = 14.5 cm. and = 18.85 rad/s. Find the position of the particle at a. t = 0 and b. t = 9.0 s. Give your answers in centimeters.arrow_forwardConsider the simplified single-piston engine in Figure CQ12.13. Assuming the wheel rotates with constant angular speed, explain why the piston rod oscillates in simple harmonic motion. Figure CQ12.13arrow_forward
- A 500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.0 cm. Calculate the maximum value of its (a) speed and (b) acceleration, (c) the speed and (d) the acceleration when the object is 6.00 cm from the equilibrium position, and (e) the time interval required for the object to move from x = 0 to x = 8.00 cm.arrow_forwardA uniform annular ring of mass m and inner and outer radii a and b, respectively, is pivoted around an axis perpendicular to the plane of the ring at point P (Fig. P16.35). Determine its period of oscillation. FIGURE P16.35arrow_forwardA simple pendulum has mass 1.20 kg and length 0.700 m. (a) What is the period of the pendulum near the surface of Earth? (b) If the same mass is attached to a spring, what spring constant would result in the period of motion found in part (a)?arrow_forward
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