Rotating the disk in either direction by an angle 0 introduces a "restoring" torque of T = -K0, where K is the torsion constant specific to the suspension wire, the way the spring constant k is for a spring. Derive the equation of motion for a torsion pendulum as well as the equation for the period (T) of its oscillation.
Rotating the disk in either direction by an angle 0 introduces a "restoring" torque of T = -K0, where K is the torsion constant specific to the suspension wire, the way the spring constant k is for a spring. Derive the equation of motion for a torsion pendulum as well as the equation for the period (T) of its oscillation.
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Transcribed Image Text:Problem 3. In Introductory Mechanics, you learned about simple harmonic oscillators. One such
system is known as a torsion pendulum, shown below. Here the element of "springiness" is associated
with the twisting of the suspension wire rather than the extension or compression of a spring ("torsion"
refers to this twisting).
Rotating the disk in either direction by an angle 0 introduces a "restoring" torque of t= -K0, where K is
the torsion constant specific to the suspension wire, the way the spring constant k is for a spring.
Derive the equation of motion for a torsion pendulum as well as the equation for the period (T) of its
oscillation.
Fixed end
Suspension wire
Reference line
+0
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