At t = 0, a 755-g mass at rest on the end of a horizontal

Chapter 5, Problem 23P

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QUESTION:

Problem 23P

At t = 0, a 755-g mass at rest on the end of a horizontal spring (k = 124 N/m) is struck by a hammer, which gives the mass an initial speed of 2.96 m/s. Determine (a) the period and frequency of the motion, (b) the amplitude, (c) the maximum acceleration, (d) the position as a function of time, and (e) the total energy.

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QUESTION:

Problem 23P

At t = 0, a 755-g mass at rest on the end of a horizontal spring (k = 124 N/m) is struck by a hammer, which gives the mass an initial speed of 2.96 m/s. Determine (a) the period and frequency of the motion, (b) the amplitude, (c) the maximum acceleration, (d) the position as a function of time, and (e) the total energy.

ANSWER:

Step 1 of 6

(a) The time period of motion is calculated by the given formula.

                                                   

Put  for , and  for .

                                                   

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