Three shafts (spring constant k1, k2, k3) are connected in series such that they carries the same torque (T), then spring constant (k) for composite shaft will be

Question

TuteeHUB · Accepted Answer

$k = {\left( {\frac{{{k_1}{k_2}{k_3}}}{{{k_1} + {k_2} + {k_3}}}} \right)^{\frac{1}{2}}}$

TuteeHUB · Answer

k = k1 + k2 + k3

TuteeHUB · Answer

k = (k1k2 + k2k3 + k3k1)½

TuteeHUB · Answer

$\frac{1}{k} = \frac{1}{{{k_1}}} + \frac{1}{{{k_2}}} + \frac{1}{{{k_3}}}$

1.	Three shafts (spring constant k1, k2, k3) are connected in series such that they carries the same torque (T), then spring constant (k) for composite shaft will be
A.	k = k1 + k2 + k3
B.	k = (k1k2 + k2k3 + k3k1)½
C.	\(\frac{1}{k} = \frac{1}{{{k_1}}} + \frac{1}{{{k_2}}} + \frac{1}{{{k_3}}}\)
D.	\(k = {\left( {\frac{{{k_1}{k_2}{k_3}}}{{{k_1} + {k_2} + {k_3}}}} \right)^{\frac{1}{2}}}\)
Answer» D. \(k = {\left( {\frac{{{k_1}{k_2}{k_3}}}{{{k_1} + {k_2} + {k_3}}}} \right)^{\frac{1}{2}}}\)

Three shafts (spring constant k1, k2, k3) are connected in series such that they carries the same torque (T), then spring constant (k) for composite shaft will be

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