Questions: When two springs are connected in series, the equivalent spring coefficient, keq, is given by 1 1 1 + (1) Keq (t) k₁(t) k₂(t)' where k₁ (t) and k₂ (t) are the spring coefficients of each individual spring. = (a) Use implicit differentiation, or otherwise, to differentiate Equation (1) to give an ex- pression for in terms of k₁, k₂, and their derivatives. dkeq dt
Questions: When two springs are connected in series, the equivalent spring coefficient, keq, is given by 1 1 1 + (1) Keq (t) k₁(t) k₂(t)' where k₁ (t) and k₂ (t) are the spring coefficients of each individual spring. = (a) Use implicit differentiation, or otherwise, to differentiate Equation (1) to give an ex- pression for in terms of k₁, k₂, and their derivatives. dkeq dt
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Transcribed Image Text:Questions:
When two springs are connected in series, the equivalent spring coefficient, keq, is given by
1
1
1
+
(1)
Keq (t) k₁(t) k₂(t)'
where k₁ (t) and k₂ (t) are the spring coefficients of each individual spring.
=
(a) Use implicit differentiation, or otherwise, to differentiate Equation (1) to give an ex-
pression for
in terms of k₁, k₂, and their derivatives.
dkeq
dt
Transcribed Image Text:dk₁
dt
and k2 = 10 Nm-¹.
(b) If
=
0.2 Nm-¹s ¹ and
-1
dkeq
dt
dk2
= -0.3 Nm-¹s-¹, calculate when k₁15 Nm-1
dt
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