In a satellite model for a science project, given the masses of the three satellites ma=1.8 kg, mB=2.2 kg, and mc=4.6 kg that are connected with massless rods, joined at the point the rotation axis is passing through. The satellites have the distances rad RA= 1.2 m, RB= 0.5 m, and Rc=1.6 m, from the rotation axis. The system rotates with an angular speed w=2.9 RA RB RC 1. Calculate the moment of inertia /, for this model: I; = kg m2 %3D 2. Calculate the magnitude of the angular momentum L, = m2 kg 3. Calculate the rotational kinetic energy K; = J %3D 4. As the system is rotating counter-clockwise the direction of the vector is The mass mc was not properly glued and breaks away during the rotation. 4 1. Calculate the moment of inertia If for this model now. I;= kg m2

In the figure, three 0.02 kg particles have been glued to a rod of length L = 13 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)?

In the figure, three 0.10 kg particles have been glued to a rod of length L = 11 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)? Axis -P--P-- P- (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units