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3 springs are connected in parallel as shown in the left figure. Below the first 3 springs, 2 other springs are also connected in parallel. Keq = ********** keq mommy m Ken 2 120 N/m a) Find the equivalent spring constant, ke for the upper 3 springs connected in parallel. The upper 3 springs each have kupper = 40 N/m. The lower 2 springs each have klower = 30 N/m. N/m G 4 Kit kat k3 •FOR PARALLEL This is k in the right figure above. N/m 40 + 40 + 40 = 120 b) Find the equivalent spring constant, keq for the lower 2 springs connected in parallel. This is k₂ in the right figure above. 60 mmmmmm 30+30 Now, in the right figure above, the springs k, and k₂, are connected in series. e) Find the equivalent spring constant, keq for ki and k₂. m 5 44

3 springs are connected in parallel as shown in the left figure. Below the first 3 springs, 2 other springs are also connected in parallel. Keq = ********** keq mommy m Ken 2 120 N/m a) Find the equivalent spring constant, ke for the upper 3 springs connected in parallel. The upper 3 springs each have kupper = 40 N/m. The lower 2 springs each have klower = 30 N/m. N/m G 4 Kit kat k3 •FOR PARALLEL This is k in the right figure above. N/m 40 + 40 + 40 = 120 b) Find the equivalent spring constant, keq for the lower 2 springs connected in parallel. This is k₂ in the right figure above. 60 mmmmmm 30+30 Now, in the right figure above, the springs k, and k₂, are connected in series. e) Find the equivalent spring constant, keq for ki and k₂. m 5 44

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
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 19P: A light spring with spring constant 1 200 N/m is hung from an elevated support. From its lower end...
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2) 3 springs are connected in parallel as shown in the left figure. Below the first 3 springs, 2 other springs are also connected in parallel. keq = xoxxxxxx Keq = wwwwww m keq = a) Find the equivalent spring constant, keq for the upper 3 springs connected in parallel. 120 N/m The upper 3 springs each + have Kupper = 40 N/m. N/m The lower 2 springs each have klower = 30 N/m. I. Kit. Kat Kз 40+40+ 40 = b) Find the equivalent spring constant, keq for the lower 2 springs connected in parallel. N/m This is k in the right figure above. டண்டண் =120 This is k₂ in the right figure above. 30+30 €60 Now, in the right figure above, the springs k₁ and k2, are connected in series. c) Find the equivalent spring constant, keq for k₁ and k₂. The whole combination of springs can be replaced with a single spring with this spring constant.
Transcribed Image Text:2) 3 springs are connected in parallel as shown in the left figure. Below the first 3 springs, 2 other springs are also connected in parallel. keq = xoxxxxxx Keq = wwwwww m keq = a) Find the equivalent spring constant, keq for the upper 3 springs connected in parallel. 120 N/m The upper 3 springs each + have Kupper = 40 N/m. N/m The lower 2 springs each have klower = 30 N/m. I. Kit. Kat Kз 40+40+ 40 = b) Find the equivalent spring constant, keq for the lower 2 springs connected in parallel. N/m This is k in the right figure above. டண்டண் =120 This is k₂ in the right figure above. 30+30 €60 Now, in the right figure above, the springs k₁ and k2, are connected in series. c) Find the equivalent spring constant, keq for k₁ and k₂. The whole combination of springs can be replaced with a single spring with this spring constant.
Fring Fup 1 = xxxxxxxx wawil Flow = For calculations on this page, keep 4 digits after the decimal point. A mass m = 2.5 kg is attached to the system. d) Determine the force applied to the spring. m Work backwards, first to the figure on the right below, with k₁ (part a) and k2 (part b) in series. f) Find the distance each spring will stretch with mass m attached e) Determine how far the equivalent spring will stretch. F Dovol Yeq= N N Y₁ = N. y₂ = ₁ + y₂ = m. In the original (left) figure, each upper spring will stretch by y₁, and each lower spring stretches by y2. For the next 2 parts, calculate the magnitude of the force. g) Find the force from one upper spring, stretched by y₁, and the total force from all 3 upper springs. Fup total = m m Flow total = m N h) Find the force from 1 lower spring, stretched by y2 and the total force from the 2 lower springs. k1 k₂ N
Transcribed Image Text:Fring Fup 1 = xxxxxxxx wawil Flow = For calculations on this page, keep 4 digits after the decimal point. A mass m = 2.5 kg is attached to the system. d) Determine the force applied to the spring. m Work backwards, first to the figure on the right below, with k₁ (part a) and k2 (part b) in series. f) Find the distance each spring will stretch with mass m attached e) Determine how far the equivalent spring will stretch. F Dovol Yeq= N N Y₁ = N. y₂ = ₁ + y₂ = m. In the original (left) figure, each upper spring will stretch by y₁, and each lower spring stretches by y2. For the next 2 parts, calculate the magnitude of the force. g) Find the force from one upper spring, stretched by y₁, and the total force from all 3 upper springs. Fup total = m m Flow total = m N h) Find the force from 1 lower spring, stretched by y2 and the total force from the 2 lower springs. k1 k₂ N
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