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oscillating back and forth The last example differs from the first two, in that it represents a special kind of periodic motion called simple harmonic motion. The conditions that lead to simple harmonic motion are as follows: • There must be a position of stable equilibrium. . There must be a restoring force acting on the oscillating object. The direction of this force must always point toward the equilibrium, and its magnitude must be directly proportional to the magnitude of the object's displacement from its equilibrium position. Mathematically, the restoring force is given by F-k, where is the displacement from equilibrium and k is a constant that depends on the properties of the oscillating system. • The resistive forces in the system must be reasonably small. In this problem, we will introduce some of the basic quantities that describe oscillations and the relationships among them. Figure R 0 Q K L M N A 2 of 2 > The following questions refer to the figure (Eigure 2) that graphically depicts the oscillations of the block on the spring. Note that the vertical axis represents the x coordinate of the oscillating object, and the horizontal axis represents time. Part E Which points on the x axis are located a distance A from the equilibrium position? R only Q only both R and Q Part F Suppose that the period is T. Which of the following points on the taxis are separated by the time interval T? K and L K and M K and P L and N M and P Now assume for the remaining Parts G-J, that the x coordinate of point R is 0.12 m and the coordinate of point K is 0.0050 s. Part G What is the period T? Express your answer in seconds.

oscillating back and forth The last example differs from the first two, in that it represents a special kind of periodic motion called simple harmonic motion. The conditions that lead to simple harmonic motion are as follows: • There must be a position of stable equilibrium. . There must be a restoring force acting on the oscillating object. The direction of this force must always point toward the equilibrium, and its magnitude must be directly proportional to the magnitude of the object's displacement from its equilibrium position. Mathematically, the restoring force is given by F-k, where is the displacement from equilibrium and k is a constant that depends on the properties of the oscillating system. • The resistive forces in the system must be reasonably small. In this problem, we will introduce some of the basic quantities that describe oscillations and the relationships among them. Figure R 0 Q K L M N A 2 of 2 > The following questions refer to the figure (Eigure 2) that graphically depicts the oscillations of the block on the spring. Note that the vertical axis represents the x coordinate of the oscillating object, and the horizontal axis represents time. Part E Which points on the x axis are located a distance A from the equilibrium position? R only Q only both R and Q Part F Suppose that the period is T. Which of the following points on the taxis are separated by the time interval T? K and L K and M K and P L and N M and P Now assume for the remaining Parts G-J, that the x coordinate of point R is 0.12 m and the coordinate of point K is 0.0050 s. Part G What is the period T? Express your answer in seconds.

Principles of Physics: A Calculus-Based Text
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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oscillating back and forth. The last example differs from the first two, in that it represents a special kind of periodic motion called simple harmonic motion. The conditions that lead to simple harmonic motion are as follows: • There must be a position of stable equilibrium. • There must be a restoring force acting on the oscillating object. The direction of this force must always point toward the equilibrium, and its magnitude must be directly proportional to the magnitude of the object's displacement from its equilibrium position. Mathematically, the restoring force F is given by F=-k, where is the displacement from equilibrium and k is a constant that depends on the properties of the oscillating system. • The resistive forces in the system must be reasonably small. In this problem, we will introduce some of the basic quantities that describe oscillations and the relationships among them. Figure \K L M AA R 0 < 2 of 2 The following questions refer to the figure (Figure 2) that graphically depicts the oscillations of the block on the spring. Note that the vertical axis represents the x coordinate of the oscillating object, and the horizontal axis represents time. Part E Which points on the x axis are located a distance A from the equilibrium position? OR only O Q only O both R and Q Part F Suppose that the period is T. Which of the following points on the taxis are separated by the time interval T? OK and L OK and M OK and P L and N O M and P Now assume for the remaining Parts G-J, that the x coordinate of point R is 0.12 m and the t coordinate of point K is 0.0050 s. Part G What is the period T? Express your answer in seconds. ΠΠΙ ΑΣΦ C ?
Transcribed Image Text:oscillating back and forth. The last example differs from the first two, in that it represents a special kind of periodic motion called simple harmonic motion. The conditions that lead to simple harmonic motion are as follows: • There must be a position of stable equilibrium. • There must be a restoring force acting on the oscillating object. The direction of this force must always point toward the equilibrium, and its magnitude must be directly proportional to the magnitude of the object's displacement from its equilibrium position. Mathematically, the restoring force F is given by F=-k, where is the displacement from equilibrium and k is a constant that depends on the properties of the oscillating system. • The resistive forces in the system must be reasonably small. In this problem, we will introduce some of the basic quantities that describe oscillations and the relationships among them. Figure \K L M AA R 0 < 2 of 2 The following questions refer to the figure (Figure 2) that graphically depicts the oscillations of the block on the spring. Note that the vertical axis represents the x coordinate of the oscillating object, and the horizontal axis represents time. Part E Which points on the x axis are located a distance A from the equilibrium position? OR only O Q only O both R and Q Part F Suppose that the period is T. Which of the following points on the taxis are separated by the time interval T? OK and L OK and M OK and P L and N O M and P Now assume for the remaining Parts G-J, that the x coordinate of point R is 0.12 m and the t coordinate of point K is 0.0050 s. Part G What is the period T? Express your answer in seconds. ΠΠΙ ΑΣΦ C ?
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