Posted by marcel on Tuesday, May 22, 2012 at 10:14pm.
A lazy Susan consists of a heavy plastic disk mounted on a frictionless bearing resting on a vertical shaft through its center. The cylinder has a radius R = 10 cm and mass M = 0.24 kg. A cockroach (mass m = 0.015 kg) is on the lazy Susan, at a distance of 10 cm from the center. Both the cockroach and the lazy Susan are initially at rest. The cock&roach then walks along a circular path concentric with the axis of the lazy Susan at a constant distance of 10 cm from the axis of the shaft. If the speed of the cockroach with respect to the lazy Susan is 0.01 m/s, what is the speed of the cockroach with respect to the room?

physics  drwls, Wednesday, May 23, 2012 at 1:49am
Assume the total angular momentum remains zero (due to frictionless bearing). If the angular velocity of the lazy susan is w, its angular momentum is I*w, where I = (1/2)M*R^2
The angular momentum of the kokroach is equal and opposite to that of the lazy susan.
I*w = m*R*v
where v is the speed of the kokroach with respect to the room, m is the roach mass, and R = 0.10 m.
You also need to use the equation
v  R*w = 0.01 m/s
for the relative velocity
Solve for v.
Answer This Question
Related Questions
 Physics  A Texas cockroach of mass 0.17 kg runs counterclockwise around the rim...
 Physics  Consider a stainless steel annular disk with an outer radius 66 mm and...
 Physics  Consider a stainless steel annular disk with an outer radius 68mm and ...
 Physics  Consider a stainless steel annular disk with an outer radius 68mm and ...
 Physics College  Experiment in this week (week 8) is to study rotational ...
 physics  A bullet of mass = 0.13 kg is fired with a velocity of = 87.1 m/s into...
 science  A uniform disk with radius 0.320m and mass 28.0kg rotates in a ...
 Physics  A solid cylindrical disk has a radius of 0.18 m. It is mounted to an ...
 physics  A solid cylindrical disk has a radius of 0.17 m. It is mounted to an ...
 physics  A solid cylindrical disk has a radius of 0.16 m. It is mounted to an ...
More Related Questions