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Answer:
The moment of inertia about an axis through the center and perpendicular to the plane of the square is

Explanation:
From the question we are told that
The length of one side of the square is 
The total mass of the square is 
Generally the mass of one size of the square is mathematically evaluated as

Generally the moment of inertia of one side of the square is mathematically represented as

Generally given that
it means that this moment inertia evaluated above apply to every side of the square
Now substituting for 
So

Now according to parallel-axis theorem the moment of inertia of one side of the square about an axis through the center and perpendicular to the plane of the square is mathematically represented as
![I_a = I_g + m [\frac{q}{2} ]^2](https://tex.z-dn.net/?f=I_a%20%3D%20%20I_g%20%2B%20m%20%5B%5Cfrac%7Bq%7D%7B2%7D%20%5D%5E2)
=> ![I_a = I_g + {\frac{M}{4} }* [\frac{q}{2} ]^2](https://tex.z-dn.net/?f=I_a%20%3D%20%20I_g%20%2B%20%7B%5Cfrac%7BM%7D%7B4%7D%20%7D%2A%20%5B%5Cfrac%7Bq%7D%7B2%7D%20%5D%5E2)
substituting for 
=> ![I_a = \frac{1}{12} * \frac{M}{4} * a^2 + {\frac{M}{4} }* [\frac{q}{2} ]^2](https://tex.z-dn.net/?f=I_a%20%3D%20%20%5Cfrac%7B1%7D%7B12%7D%20%20%2A%20%20%5Cfrac%7BM%7D%7B4%7D%20%2A%20a%5E2%20%2B%20%7B%5Cfrac%7BM%7D%7B4%7D%20%7D%2A%20%5B%5Cfrac%7Bq%7D%7B2%7D%20%5D%5E2)
=> 
=> 
Generally the moment of inertia of the square about an axis through the center and perpendicular to the plane of the square is mathematically represented as

=> 
=> 
When you put a thermometer in your mouth , it becomes the same temperature as you then it starts to measure the temperature of itself
Answer:
0.833 N
Explanation:
Formula for Kinetic Energy 
Formula for Potential Energy 
First we need to find the vertical distance between the maximum-angle position and the pendulum lowest point:
Using the swinging point as the reference, the vertical distance from the maximum-angle (34 degree) position to the swinging point is:

At the lowest position, pendulum is at string length to the swinging point, which is 1.2 m. Therefore, the vertical distance between the maximum-angle position and the pendulum lowest point would be
y = 1.2 - 1 = 0.2 m.
As the pendulum is traveling from the maximum-angle position to the lowest point position, its potential energy would be converted to the kinetic energy.
By law of energy conservation:




Substitute
and y = 0.2 m:

At lowest point, pendulum would generate centripetal tension force on the string:

We can substitute mass m = 0.25, rotation radius L = 1.2 m and v = 2 m/s:
