Answer: MR²
is the the moment of inertia of a hoop of radius R and mass M with respect to an axis perpendicular to the hoop and passing through its center
Explanation:
Since in the hoop , all mass elements are situated at the same distance from the centre , the following expression for the moment of inertia can be written as follows.
I = ∫ r² dm
= R²∫ dm
MR²
where M is total mass and R is radius of the hoop .
I am pretty sure the answer would be a
Answer:
I would say d I had the same question yesterday and I got it correct so hope that helps
Answer:
the angular acceleration of the gate is approximately 1.61 
Explanation:
Recall the formula that connects the net torque with the moment of inertia of a rotating object about its axis of rotation, and the angular acceleration (similar to Newton's second law with net force, mass, and linear acceleration):

In our case, both forces contribute to the same direction of torque, so we can add their torques up and get the net torque on the gate:

Now we use this value to obtain the angular acceleration by using the given moment of inertia of the rotating gate:
