0.30 0.15 m O 0 A დაბომბა. 000000000 B

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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0.30 m
0.15 m
O
e
A
wellllle
mmmmm
0.25 m
B
Transcribed Image Text:0.30 m 0.15 m O e A wellllle mmmmm 0.25 m B
"the initial configuration of a system composed of a
point mass m =
1 kg, a non-deformable string, and a spring of spring
constant k = 200 N/m and
unstretched length lo = 0.1 m. The system can be
considered isolated and without
friction. The radius of the mass can be approximated as
zero, and the mass of the string and spring can be
neglected. The system is released from rest, and the
spring contracts and pulls the mass to the right. Some
time later, the string and spring are aligned.
a) Show that when the string and spring are aligned
along AB, angle 0 is equal to 29⁰
and the length of the spring is equal to 0.215 m
b) Use conservation of energy to determine the
magnitude of the velocity of the mass when the string
and spring are aligned along AB.
c) Using your knowledge of motion, explain in a few
sentences the direction of the velocity of the mass
when the string and spring are aligned along AB.
d) Determine the tension in the string when the string
and the spring are aligned by considering the sum of
the forces, and the acceleration, along AB.
e) Explain in a few sentences how you would go about
finding the equilibrium of the system and where you
expect to find the minimum."
Transcribed Image Text:"the initial configuration of a system composed of a point mass m = 1 kg, a non-deformable string, and a spring of spring constant k = 200 N/m and unstretched length lo = 0.1 m. The system can be considered isolated and without friction. The radius of the mass can be approximated as zero, and the mass of the string and spring can be neglected. The system is released from rest, and the spring contracts and pulls the mass to the right. Some time later, the string and spring are aligned. a) Show that when the string and spring are aligned along AB, angle 0 is equal to 29⁰ and the length of the spring is equal to 0.215 m b) Use conservation of energy to determine the magnitude of the velocity of the mass when the string and spring are aligned along AB. c) Using your knowledge of motion, explain in a few sentences the direction of the velocity of the mass when the string and spring are aligned along AB. d) Determine the tension in the string when the string and the spring are aligned by considering the sum of the forces, and the acceleration, along AB. e) Explain in a few sentences how you would go about finding the equilibrium of the system and where you expect to find the minimum."
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