Part A A 175 g glider on a horizontal, frictionless air track is attached to a foxed ideal spring with force constant 180 N/m At the instant you make measurements on the glider, it is moving at 0.785 m/s and is 2.50 cm from its equilibrium point Use energy conservation to find the amplitude of the motion. You may want to review (Page). For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Velocity. acceleration, and energy in shm. Temglates Symbois undo redo Teset keyboard shortcuts Help A = Submit Requeet Answer Part B Use energy conservation to find the maximum speed of the glider. Templates Symbols undo rado teset keyboard shortcuts elp m/s Requeet Anewer Submit Part c What is the angular frequency of the oscillations? Templates Symbole undo rado tes keyboard shortouts Heip rad/s Submit Requeet Answer

Part A A 175 g glider on a horizontal, frictionless air track is attached to a foxed ideal spring with force constant 180 N/m At the instant you make measurements on the glider, it is moving at 0.785 m/s and is 2.50 cm from its equilibrium point Use energy conservation to find the amplitude of the motion. You may want to review (Page). For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Velocity. acceleration, and energy in shm. Temglates Symbois undo redo Teset keyboard shortcuts Help A = Submit Requeet Answer Part B Use energy conservation to find the maximum speed of the glider. Templates Symbols undo rado teset keyboard shortcuts elp m/s Requeet Anewer Submit Part c What is the angular frequency of the oscillations? Templates Symbole undo rado tes keyboard shortouts Heip rad/s Submit Requeet Answer

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Description: Part AA 175 g glider on a horizontal, frictionless air track is attached to a fixed ideal spring with force constant 180N/m . At the instant you make measurements on the glider, it is moving at 0.785 m/s and is 2.50 cm from itsequilibrium point.Use

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 11OQ

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A 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 P16.35
C, N A uniform plank of length L and mass M is balanced on a fixed, semicircular bowl of radius R (Fig. P16.19). If the plank is tilted slightly from its equilibrium position and released, will it execute simple harmonic motion? If so, obtain the period of its oscillation.
The 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 P16.73
(a) If frequency is not constant for some oscillation, can the oscillation be SHM? (b) Can you think of any examples of harmonic motion where the frequency may depend on the amplitude?
A 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.
Consider the damped oscillator illustrated in Figure 12.16a. The mass of the object is 375 g, the spring constant is 100 N/m, and b = 0.100 N s/m. (a) Over what time interval does the amplitude drop to half its initial value? (b) What If? Over what time interval does the mechanical energy drop to half its initial value? (c) Show that, in general, the fractional rate at which the amplitude decreases in a damped harmonic oscillator is one-half the fractional rate at which the mechanical energy decreases.
The 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.
Consider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a. What is the mechanical energy of the blockspring system? b. Write expressions for the kinetic and potential energies as functions of time. c. Plot the kinetic energy, potential energy, and mechanical energy as functions of time on the same set of axes. Problems 5965 are grouped. 59. G Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59
A spring with spring constant 25 N/m is compressed a distance of 7.0 cm by a ball with a mass of 202.5 g (Fig. P13.33). The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated, using a block instead, with a mass identical to that of the ball. The block compresses the spring by 7.0 cm and is also released, leaving the spring at point A. Assume the ball rolls, but ignore other effects of friction. a. What is the speed of the ball at point B? b. What is the speed of the block at point B? FIGURE P13.33 Problems 33 and 34.
Consider a damped harmonic oscillator. After four cycles the amplitude of the oscillator has dropped to 1/e of its initial value. Find the ratio of the frequency of the damped oscillator to its natural frequency.
A 50.0-g object connected to a spring with a force constant of 35.0 N/m oscillates with an amplitude of 4.00 cm on a frictionless, horizontal surface. Find (a) the total energy of the system and (b) the speed of the object when its position is 1.00 cm. Find (c) the kinetic energy and (d) the potential energy when its position is 3.00 cm.
Allow the motion in the preceding problem to take place in a resisting medium. After oscillating for 10 s, the maximum amplitude decreases to half the initial value. Calculate (a) the damping parameter β, (b) the frequency υ1 (compare with the undamped frequency υ0), and (c) the decrement of the motion.