A cylinder rolls down a hill. If it has a radius R and mass M, what is its momen
Practice Questions
Q1
A cylinder rolls down a hill. If it has a radius R and mass M, what is its moment of inertia?
(1/2)MR^2
(1/3)MR^2
MR^2
(2/5)MR^2
Questions & Step-by-Step Solutions
A cylinder rolls down a hill. If it has a radius R and mass M, what is its moment of inertia?
Step 1: Understand what moment of inertia means. It is a measure of how difficult it is to change the rotation of an object.
Step 2: Identify the shape of the object. In this case, it is a solid cylinder.
Step 3: Recall the formula for the moment of inertia of a solid cylinder about its central axis. The formula is (1/2)MR^2.
Step 4: Identify the variables in the formula: M is the mass of the cylinder, and R is the radius of the cylinder.
Step 5: Substitute the values of M and R into the formula if you have them, but the general formula remains (1/2)MR^2.
Moment of Inertia – The moment of inertia is a measure of an object's resistance to changes in its rotation, depending on the mass distribution relative to the axis of rotation.
Solid Cylinder Properties – A solid cylinder has a specific moment of inertia formula, which is derived from its mass and radius.
