Big Ben's hour hand is 2.7 m long with a mass of 60 kg. The minute hand is 4.5 m long with a mass of 100 kg. For this problem, you may treat each hand as a thin, uniform rod with the center of mass located at the rod's geometrical center. Image source: visitlondon.com Calculate the net torque (magnitude and direction) that the hands exert on their shared rotational axis at the following times. . 12:00 • 3:00 AB FOTOE • 7:00 9:15 (Note: the hour hand does not point directly toward the "9" at this time.) Roughly speaking, at what approximate time(s) do the hands exert maximum net torque on their shared rotational axis? Ignore the direction; focus only on the magnitude for this question.

(Mechanics and Materials) Question 72: Compute the radius of gyration for the shape in the indicated figure. Use the horizontal centroidal axis for the computation.

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dsphere dbar • Given the above system, two spheres attached to the ends of a cylinder, determine the mass moment of inertia about the axis normal to the page as a function of the variables provided. Note, you can treat the masses of each element of the system as known o (msphere and mbar). After deriving an expression for the mass moment of inertia about the axis normal to the page as a function of the variables, calculate the mass moment of inertia given: osphere properties ▪ mass of sphere = 5 kg 1 diameter of sphere = 0.5 m bar properties ▪ • Determine the resultant force and moment acting on the system if the system is moving as follows: mass of bar = 25 kg length of bar = 7.5 m diameter of bar = 0.25 m O a = 5î+ 2ĵ m/s² O αG = 7k rad/s² ασ