Question

3) Torsional Spring KT L K for the rod $J = \frac{mL^2}{3}$ K $\sum M = J\ddot{\theta}$ The uniform stiff rod is restrained to move vertically by both the linear springs and a torsional spring. Calculate the frequency of the vertical oscillation of the rod. $\omega_n = \sqrt{\frac{3kT + 6KL^2}{mL^2}}\frac{rad}{s}$

          3)
Torsional
Spring
KT
L
K
for the rod $J = \frac{mL^2}{3}$
K
$\sum M = J\ddot{\theta}$
The uniform stiff rod is restrained to move
vertically by both the linear springs and a torsional
spring. Calculate the frequency of the vertical
oscillation of the rod.
$\omega_n = \sqrt{\frac{3kT + 6KL^2}{mL^2}}\frac{rad}{s}$

3)
Torsional
Spring
KT
L
K
for the rod J = (mL^2)/(3)
K
∑ M = Jθ̈
The uniform stiff rod is restrained to move
vertically by both the linear springs and a torsional
spring. Calculate the frequency of the vertical
oscillation of the rod.
= √((3kT + 6KL^2)/(mL^2))(rad)/(s)

Added by Gema E.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Lainey Roebuck

02/24/2023

Step 1

Step 1: The equation for the angular frequency of the rod is given by: ωn = √(3KT + 6KL²)/(ml²) where: K is the spring constant of the linear springs T is the torsional spring constant L is the length of the rod m is the mass of the rod Show more…

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3) Torsional Spring KT L SK for the rod J= m²² K ΣM = JÖ The uniform stiff rod is restrained to move vertically by both the linear springs and a torsional spring. Calculate the frequency of the vertical oscillation of the rod. wn = √3KT+6KL² rad ml² S