The figures shows a overhead view (they are lying on the ground without any friction) long uniform rod of mass 0.600 kg is free to rotate in a horizontal plane about a vertical axis through its center. A spring with force constant k =1850 N/m is connected horizontally between one end of the rod and a fixed wall. When the rod is in equilibrium, it is parallel to the wall. (a) Indicate all forces acting on the rod (b) Find the torque for a small displacement from the equilibrium position (use small angle approximation) (c) Show that the resulting motion is a simple harmonic oscillation and find its period.
The figures shows a overhead view (they are lying on
the ground without any friction) long uniform rod of mass 0.600 kg
is free to rotate in a horizontal plane about a vertical axis through its
center. A spring with force constant k =1850 N/m is connected
horizontally between one end of the rod and a fixed wall. When the
rod is in equilibrium, it is parallel to the wall.
(a) Indicate all forces acting on the rod
(b) Find the torque for a small displacement from the
equilibrium position (use small angle approximation)
(c) Show that the resulting motion is a simple harmonic
oscillation and find its period.
(d) Suppose you did the experiment and found that the
amplitude of the oscillation decays exponentially as Exp[-bt]
where b is a constant. Indicate what kind of forces could
make sense of your observation and write down a Newton’s
equation for it
![Problem 7. The figures shows a overhead view (they are lying on
the ground without any friction) long uniform rod of mass 0.600 kg
is free to rotate in a horizontal plane about a vertical axis through its
center. A spring with force constant k=1850 N/m is connected
horizontally between one end of the rod and a fixed wall. When the
rod is in equilibrium, it is parallel to the wall.
(a) Indicate all forces acting on the rod
(b)
Find the torque for a small displacement from the
equilibrium position (use small angle approximation)
Show that the resulting motion is a simple harmonic
oscillation and find its period.
(c)
(d)
Suppose you did the experiment and found that the
amplitude of the oscillation decays exponentially as Exp[-bt]
where b is a constant. Indicate what kind of forces could
make sense of your observation and write down a Newton's
equation for it.
Wall
10000
Rotation axis](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ee03a02-1de5-4580-8c03-88e6a0589671%2Fabf79348-98f8-485c-9f91-621acb78d2cf%2Fk3wry49_processed.jpeg&w=3840&q=75)
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