Question

2. A triangular prism of mass M, whose two ends are equilateral triangles parallel to the xy plane with side 2a, is centered on the origin with its axis along the z-axis. Find its moment of inertia for rotation about its z-axis. Without doing any integrals write down and explain its two products of inertia for rotation about the z-axis. Hint: You can find the rotational inertia of an equilateral triangle of side 2a by dividing it into 4 equilateral triangles of side a. No integration is needed if you use the parallel axis theorem. 3. Find the inertia tensor for the prism of problem 2 of height h.

          2. A triangular prism of mass M, whose two ends are equilateral triangles parallel to the
xy plane with side 2a, is centered on the origin with its axis along the z-axis. Find its
moment of inertia for rotation about its z-axis. Without doing any integrals write down
and explain its two products of inertia for rotation about the z-axis.

Hint: You can find the rotational inertia of an equilateral triangle of side 2a by dividing it
into 4 equilateral triangles of side a. No integration is needed if you use the parallel axis
theorem.

3. Find the inertia tensor for the prism of problem 2 of height h.

2. A triangular prism of mass M, whose two ends are equilateral triangles parallel to the
xy plane with side 2a, is centered on the origin with its axis along the z-axis. Find its
moment of inertia for rotation about its z-axis. Without doing any integrals write down
and explain its two products of inertia for rotation about the z-axis.

Hint: You can find the rotational inertia of an equilateral triangle of side 2a by dividing it
into 4 equilateral triangles of side a. No integration is needed if you use the parallel axis
theorem.

3. Find the inertia tensor for the prism of problem 2 of height h.

Added by Carlos D.

Question

Please give Ace some feedback