As shown in the figure above, a physical pendulum consists of a disc of radius
and mass
fixed at the end of a massless rod. The other end of the rod is pivoted about point
on the ceiling. The distance from the pivot point to the center of mass of the bob is
Initially the bob is released from rest from a small angle
with respect to the vertical. Find the period of the bob.
Assumptions and Details
What is the frequency of a simple pendulum with arm length that is in an elevator accelerating upward at a rate of ?
Assumptions and Details
A physical pendulum consists of a
long stick with mass
joined to the ceiling, as shown in the above figure. What is the pendulum’s period of oscillation about point
at the tip of the stick?
Assumptions and Details
There is a half-ring of density
and radius
. When it is perturbed by small angle
, it oscillates. If the ring's period can be expressed as
where
and
are coprime positive integers, what is the value of
The gravitational acceleration is
Assume that
and
(This is a model of a roly-poly.)
A disk of mass
and radius
oscillates on a rod. If the disk's period can be expressed as
where
and
are coprime positive integers, what is the value of
Assume that
is very small.
The moment of inertia on the axis is given by
The gravitational acceleration is