Atexas cockroach of mass m runs counterclockwise around the rim of a lazy susan (a circular disk mounted on a vertical axle) that has a radius r, rotational inertia i, and frictionless bearings. the cockroach's speed (relative to the ground) is vc, and the lazy susan turns clockwise with angular speed ω0. the cockroach finds a bread crumb on the rim and, of course, stops. what is the angular speed of the lazy susan after the cockroach stops? state your answer in terms of the given variables.

no. dot product   =0 when vecs at right angles

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

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