A physical pendulum has length L=1.45m and mass m=2.00 kg is attached to a frictionless pivot as shown. The pendulum has non-constant density where the upper end is four times denser than the bottom end, i.e. Atop=42pottom- The pivot is located a distance h= 0.5 L m below the upper end of the pendulum. The pendulum is lifted an angle of 0=38.4°and released from rest.
A physical pendulum has length L=1.45m and mass m=2.00 kg is attached to a frictionless pivot as shown. The pendulum has non-constant density where the upper end is four times denser than the bottom end, i.e. Atop=42pottom- The pivot is located a distance h= 0.5 L m below the upper end of the pendulum. The pendulum is lifted an angle of 0=38.4°and released from rest.
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NOTE: mass =2 kg
The density is 4 times bigger.
Transcribed Image Text:A physical pendulum has length L=1.45m and mass m=2.00 kg is attached to a
frictionless pivot as shown. The pendulum has non-constant density where the
upper end is four times denser than the bottom end, i.e. Atop=42pottom- The pivot is
located a distance h= 0.5 L m below the upper end of the pendulum. The
pendulum is lifted an angle of 0=38.4°and released from rest.
pivot
a) What is the translational velocity of the bottom tip of the pendulum at the
moment that gravitational potential energy is 50% of its maximum?
b) What effect would doubling the mass and length of the physical pendulum
have on the answer to part (a) of the problem?
c) Draw graphs of angular acceleration, tangential translational acceleration,
and centripetal acceleration as functions of the instantaneous angle that
the pendulum makes with the vertical. In all three graphs show the
behavior of the acceleration from release with 0 =
38.4° until the
pendulum is vertical and 0 = 0.
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