gravity and tension
i took the test
The moment of inertia of the system about an axis through the center of the square, perpendicular to its plane is .
Given data:
The mass of each sphere is, .
Length of side of square is, .
The expression for the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane is,
Here,
R is the distance between center of the square and the sphere. And its value is,
Then, moment of inertia is,
Thus, the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane is .
Learn more about moment of inertia here:
The moment of inertia of the system about an axis through the center of the square, perpendicular to the plane is 0.064 kg.m²
Let's recall Moment of Inertia formula as follows:
where:
I = moment of inertia
m = mass of object
R = distance between the object and the axis of rotation.
Given:
mass of sphere = m = 0.200 kg
length of side = x = 0.400 m
Asked:
net moment of inertia = ΣI = ?
Solution:
Let's ilustrate this question as shown in the attachment.
Firstly , let's find distance between center of the square and the sphere:
Next , we could find total moment of inertia as follows:
Grade: High School
Subject: Physics
Chapter: Rotational Dynamics
It is the first option because Rutherford had put forward the first option and Neils Bohr changed the model of an atom