A child at point a walks at constant rate toward the center

Question

1. a) When using T = 1/2 Iω² + 1/2mv_G² for kinetic energy of a planar rigid body, what point must the mass moment of inertia, I, be found about?

a. A fixed point of rotation

b. The center of mass

c. Any arbitrary point

d. A or B

b) A child at point A walks at constant rate toward the center of a merry-go-round which is rotating at constant angular velocity ω counter clockwise. What is the direction of the child's Coriolis acceleration?

a. +X

b. -X

C. +Y

d. -Y

c) In mechanical work energy, when will T1+V1=T2+V2?

a. When there are no non-conservative forces or moments present doing work

b. Always

c. When there is no heat or noise dissipating mechanical energy

d. When the work of internal forces and moments cancel out