Question

Moment of inertia I is to rotational motion what mass is to linear motion. Moment of inertia appears in expressions for rotational kinetic energy, angular acceleration, and angular momentum. Crucially, moment of inertia is defined for rotation about a specific axis. The definition is I = ? m_i r_i^2 where the sum is over all the individual masses that make up the object and where r is measured from the specified rotation axis. Mass farther from the rotation axis contributes more to the value if I than does mass closer to the axis. The units of I are kg · m^2. Consider the object in (Figure 1), consisting of four masses connected by massless, rigid rods. Part A What is the moment of inertia for rotation about an axis perpendicular to the screen that passes through the center of the square? Express your answer to three significant figures and include the appropriate units. Part B What is the moment of inertia for rotation about an axis perpendicular to the screen that passes through the 100 g mass? Express your answer to three significant figures and include the appropriate units.

          Moment of inertia I is to rotational motion what mass is to
linear motion. Moment of inertia appears in expressions for
rotational kinetic energy, angular acceleration, and angular
momentum. Crucially, moment of inertia is defined for rotation
about a specific axis. The definition is
I = ? m_i r_i^2
where the sum is over all the individual masses that make up
the object and where r is measured from the specified rotation
axis. Mass farther from the rotation axis contributes more to
the value if I than does mass closer to the axis. The units of I
are kg · m^2.
Consider the object in (Figure 1), consisting of four masses
connected by massless, rigid rods.
Part A
What is the moment of inertia for rotation about an axis perpendicular to the screen that passes through the
center of the square?
Express your answer to three significant figures and include the appropriate units.
Part B
What is the moment of inertia for rotation about an axis perpendicular to the screen that passes through the
100 g mass?
Express your answer to three significant figures and include the appropriate units.

Moment of inertia I is to rotational motion what mass is to
linear motion. Moment of inertia appears in expressions for
rotational kinetic energy, angular acceleration, and angular
momentum. Crucially, moment of inertia is defined for rotation
about a specific axis. The definition is
I = ? mi ri^2
where the sum is over all the individual masses that make up
the object and where r is measured from the specified rotation
axis. Mass farther from the rotation axis contributes more to
the value if I than does mass closer to the axis. The units of I
are kg · m^2.
Consider the object in (Figure 1), consisting of four masses
connected by massless, rigid rods.
Part A
What is the moment of inertia for rotation about an axis perpendicular to the screen that passes through the
center of the square?
Express your answer to three significant figures and include the appropriate units.
Part B
What is the moment of inertia for rotation about an axis perpendicular to the screen that passes through the
100 g mass?
Express your answer to three significant figures and include the appropriate units.

Added by Samantha B.

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