In the figure here, three particles of mass m = 0.022 kg are fastened to three r
ID: 1910957 • Letter: I
Question
In the figure here, three particles of mass m = 0.022 kg are fastened to three rods of length d = 0.15 m and negligible mass. The rigid assembly rotates about point O at angular speed ? = 0.50 rad/s. About O, what are (a) the rotational inertia of the assembly, (b) the magnitude of the angular momentum of the middle particle, and (c) the magnitude of the angular momentum of the assembly?
In the figure here, three particles of mass m = 0.022 kg are fastened to three rods of length d = 0.15 m and negligible mass. The rigid assembly rotates about point O at angular speed ? = 0.50 rad/s. About O, what are (a) the rotational inertia of the assembly, (b) the magnitude of the angular momentum of the middle particle, and (c) the magnitude of the angular momentum of the assembly?Explanation / Answer
(a) I=mr^2 = m(d^2)+ m (2d)^2 + m(3d)^2 = 14 md^2= 14*0.022*(0.15^2)=0.00693
(b) angular momentum = mr^2 =m*(2d)^2*0.5 = (0.022)*((2*0.15)^2)*(0.5)=0.00099
(c) angular momentum= I = 0.00693*0.50=0.003465
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