Solution Found!
Spring-Mass System Dynamics with Hammer Impact
Chapter 11, Problem 23P(choose chapter or problem)
At \(t=0\), a 755-g mass at rest on the end of a horizontal spring \((k=124 \mathrm{~N} / \mathrm{m})\) 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 tune, and
(e) the total energy.
Questions & Answers
QUESTION:
At \(t=0\), a 755-g mass at rest on the end of a horizontal spring \((k=124 \mathrm{~N} / \mathrm{m})\) 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 tune, and
(e) the total energy.
ANSWER:
Solution 23P
a.)
Step 1 of 6
We have to determine the period and frequency of the motion for a 755 g mass at rest which is struck by a hammer.
The time period of motion for a spring of mass and spring constant is given by the expression,
Where,
mass of the spring
= 755 g = 0.755 kg
spring constant = 124 N/m
Thus,
= 0.49 s
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Spring-Mass System Dynamics with Hammer Impact
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Explore the intriguing dynamics of a spring-mass system, set in motion by a hammer's impact. Learn about period, frequency, amplitude, acceleration, position over time, and the total energy of this unique scenario.