Please indicate how long each bar is in centimeters and millimeters.
1 answer:
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A) Moment of inertia about an axis passing through the point where the two segments meet :
B) Moment of inertia passing through the point where the midpoint of the line connects to its two ends:
What is Moment of inertia?
The term "moment of inertia" refers to a physical quantity that quantifies a body's resistance to having its speed of rotation along an axis changed by the application of a torque (turning force). The axis might be internal or exterior, fixed or not.
A) The moment of inertia about an axis passing through the point where the two segments meet is given that the rod is bent at the center and distance from all the points to the axis remains the same, the moment of inertia about the center will remain the same.
B) Determine the moment of inertia about an axis passing through the point midpoint of the line which connects the two ends
First step: determine the distance between the ends ( d )
After applying Pythagoras theorem
Next step : determine distance between the two axis
After applying Pythagoras theorem
Final step : Calculate the value of
applying Parallel Axis Theorem
Hence we can conclude that Moment of inertia about an axis passing through the point where the two segments meet: , Moment of inertia passing through the point where the midpoint of the line connects its two ends:
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