An object weighing 44.1 N hangs from a vertical massless ideal spring. When set in vertical motion, the object obeys the equation y(t) = (6.20 cm) cos[(2.74 rad/s)t - 1.40]. (a) Find the time for this object to vibrate one complete cycle. (b) What is the TOTAL distance the object moves through in one cycle. (c) Find the maximum kinetic energy of the object. (d) What is the spring constant of the spring.

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
Section12.2: Analysis Model: Particle In Simple Harmonic Motion
Problem 12.4QQ: An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is...
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An object weighing 44.1 N hangs from a vertical massless ideal spring. When set in vertical motion, the object obeys the equation y(t) = (6.20 cm) cos[(2.74 rad/s)t - 1.40].

(a) Find the time for this object to vibrate one complete cycle.

(b) What is the TOTAL distance the object moves through in one cycle.

(c) Find the maximum kinetic energy of the object.

(d) What is the spring constant of the spring.

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