where I is the moment of inertia of the object, a the angular acceleration, m the mass of the object, g the gravitational acceleration and L the distance between the pivot and center of mass of the physical pendulum. Use small angle approximation to find the motion of the pendulum as 0(t). What is the period of oscillation? Suppose you have a hollow rod pendulum of mass 1 kg and of length 1 m like shown in Fig. 1 (right), also assume it is filled with 4 kg of sand. A hole suddenly appears at the bottom of the rod (t = 0) and starts to leak sand at a rate of 0.5 kg / min. Find the expression for the Period as a function of time T(t).

icon
Related questions
Question
There are three subparts to the question .
mgsine
L
m
I
L
Figure 1: (left) FBD on Physical/Compound pendulum. (right) Rod pendulum
where I is the moment of inertia of the object, a the angular acceleration, m the
mass of the object, g the gravitational acceleration and L the distance between the
pivot and center of mass of the physical pendulum.
Use small angle approximation to find the motion of the pendulum as (t).
What is the period of oscillation?
Suppose you have a hollow rod pendulum of mass 1 kg and of length 1 m like shown
in Fig. 1 (right), also assume it is filled with 4 kg of sand. A hole suddenly appears
at the bottom of the rod (t = 0) and starts to leak sand at a rate of 0.5 kg / min.
Find the expression for the Period as a function of time T(t).
Transcribed Image Text:mgsine L m I L Figure 1: (left) FBD on Physical/Compound pendulum. (right) Rod pendulum where I is the moment of inertia of the object, a the angular acceleration, m the mass of the object, g the gravitational acceleration and L the distance between the pivot and center of mass of the physical pendulum. Use small angle approximation to find the motion of the pendulum as (t). What is the period of oscillation? Suppose you have a hollow rod pendulum of mass 1 kg and of length 1 m like shown in Fig. 1 (right), also assume it is filled with 4 kg of sand. A hole suddenly appears at the bottom of the rod (t = 0) and starts to leak sand at a rate of 0.5 kg / min. Find the expression for the Period as a function of time T(t).
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer