Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 15, Problem 10EAP
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Chapter 15 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 15 - Prob. 1CQCh. 15 - A pendulum on Planet X, where the value of g is...Ch. 15 - FIGURE Q15.3 shows a position-versus-time graph...Ch. 15 - FIGURE Q15.4 shows a position-versus-time graph...Ch. 15 - 5. Equation 15.25 states that . What does this...Ch. 15 - A block oscillating on a spring has an amplitude...Ch. 15 - A block oscillating on a spring has a maximum...Ch. 15 - 8. The solid disk and circular hoop in FIGURE...Ch. 15 - FIGURE Q15.9 shows the potential-energy diagram...Ch. 15 - Suppose the damping constant b of an oscillator...
Ch. 15 - Prob. 11CQCh. 15 - 12. What is the difference between the driving...Ch. 15 - An air-track glider attached to a spring...Ch. 15 - An air-track is attached to a spring. The glider...Ch. 15 - Prob. 3EAPCh. 15 - An object in SHM oscillates with a period of 4.0 s...Ch. 15 - What are the (a) amplitude, (b) frequency, and (c)...Ch. 15 - What are the (a) amplitude, (b) frequency, and (c)...Ch. 15 - FIGURE EX15.7 is the Position-versus-time graph of...Ch. 15 - FIGURE EX15.8 is the velocity-versus-time graph of...Ch. 15 - An object in simple harmonic motion has an...Ch. 15 - An object in simple harmonic motion has amplitude...Ch. 15 - An object in simple harmonic motion has amplitude...Ch. 15 - An object in simple harmonic motion has amplitude...Ch. 15 - An air-track glider attached to a spring...Ch. 15 - 14. A block attached to a spring with unknown...Ch. 15 - 15. A 200 g air-track glider is attached to a...Ch. 15 - A 200 g mass attached to a horizontal spring...Ch. 15 - Prob. 17EAPCh. 15 - A 1.0 kg block is attached to a spring with spring...Ch. 15 - Prob. 19EAPCh. 15 - Prob. 20EAPCh. 15 - A spring is hanging from the ceiling. Attaching a...Ch. 15 - 22. A spring with spring constant 15 N/m hangs...Ch. 15 - 23. A spring is hung from the ceiling. When a...Ch. 15 - Prob. 24EAPCh. 15 - A 200 g ball is tied to a string. It is pulled to...Ch. 15 - Prob. 26EAPCh. 15 - Prob. 27EAPCh. 15 - Prob. 28EAPCh. 15 - Prob. 29EAPCh. 15 - A 100 g mass on a 1.0-m-long string is pulled 8.0...Ch. 15 - A uniform steel bar swings from a pivot at one end...Ch. 15 - Prob. 32EAPCh. 15 - Prob. 33EAPCh. 15 - Prob. 34EAPCh. 15 - Vision is blurred if the head is vibrated at 29 Hz...Ch. 15 - Prob. 36EAPCh. 15 - Prob. 37EAPCh. 15 - a. When the displacement of a mass on a spring is...Ch. 15 - For a particle in simple harmonic motion, show...Ch. 15 - A 100g block attached to a spring with spring...Ch. 15 - A 0.300 kg oscillator has a speed of 95.4cm/s when...Ch. 15 - An ultrasonic transducer, of the type used in...Ch. 15 - Astronauts in space cannot weigh themselves by...Ch. 15 - 44. Your lab instructor has asked you to measure a...Ch. 15 - A 5.0 kg block hangs from a spring with spring...Ch. 15 - Prob. 46EAPCh. 15 - A block hangs in equilibrium from a vertical...Ch. 15 - Prob. 48EAPCh. 15 -
49. Scientists are measuring the properties of a...Ch. 15 - Prob. 50EAPCh. 15 - A compact car has a mass of 1200 kg. Assume that...Ch. 15 - Prob. 52EAPCh. 15 - Prob. 53EAPCh. 15 - Prob. 54EAPCh. 15 - Prob. 55EAPCh. 15 - Prob. 56EAPCh. 15 - Prob. 57EAPCh. 15 - A uniform rod of mass M and length L swings as a...Ch. 15 - Prob. 59EAPCh. 15 - 60. A 500 g air-track glider attached to a spring...Ch. 15 - Prob. 61EAPCh. 15 - Prob. 62EAPCh. 15 - A molecular bond can be modeled as a spring...Ch. 15 - Prob. 64EAPCh. 15 - Prob. 65EAPCh. 15 - Prob. 66EAPCh. 15 - The 15 g head of a bobble-head doll oscillates in...Ch. 15 - An oscillator with a mass of 500 g and a period of...Ch. 15 - Prob. 69EAPCh. 15 - Prob. 70EAPCh. 15 - Prob. 71EAPCh. 15 - Prob. 72EAPCh. 15 - Prob. 73EAPCh. 15 - A block ona frictionless FIGURE P15.74 to two...Ch. 15 - Prob. 75EAPCh. 15 - Prob. 76EAPCh. 15 - A solid sphere of mass M and radius R is suspended...Ch. 15 - A uniform rod of length L oscillates as a pendulum...Ch. 15 - Prob. 79EAPCh. 15 - Prob. 80EAPCh. 15 - FIGURE CP15.81 shows a 200 g uniform rod pio4ed at...
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- 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_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_forwardWe 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_forward
- The angular position of a pendulum is represented by the equation = 0.032 0 cos t, where is in radians and = 4.43 rad/s. Determine the period and length of the pendulum.arrow_forwardThe 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_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_forward
- A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.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_forwardThe total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the kinetic energy of the system when the position of the oscillator is 0.750 cm? b. What is the potential energy of the system at this position? c. What is the position for which the potential energy of the system is equal to its kinetic energy? d. For a simple harmonic oscillator, what, if any, are the positions for which the kinetic energy of the system exceeds the maximum potential energy of the system? Explain your answer. FIGURE P16.73arrow_forward
- In 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_forwardThe amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?arrow_forwardA block of mass m rests on a frictionless, horizontal surface and is attached to two springs with spring constants k1 and k2 (Fig. P16.22). It is displaced to the right and released. Find an expression for the angular frequency of oscillation of the resulting simple harmonic motion. FIGURE P16.22 Problems 22 and 81.arrow_forward
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SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY