24 pulg 60 lb 12 pulg 40 pulg Fig. P2.23

Determine the moment of the force about point O for the following.

Find the cander of mass of the bllowing arrangement of mG Sses : m, = skg 3 kg m. (-2,2) • (3,1) (0, -2) 3 Find the moment of inertia of the arranyement of masses in problem 8, when they rotnde arand y-axis. Repent He ca leulation for X-axis rotation.

Why is the third torque negative?

Please help me

Given the picture attached: (a) Find the magnitude of the net torque on an axis about C perpendicular to the page. (b) Is this clockwise or counterclockwise?

two uniform solid spheres,A and B have the same mass.Each spbere,A and B has their own axis of rotation,the radius of sohere B is twice of sphere A.Which one of the following is true? (give I = 2/5mr^2)  a)the moment of inertianof A IS 1/2 B b)the moment of inertianof A is 5/2 of B  c) the moment of inertia of A is 1/4 B  d)the two spheres have equal moments of inertia

Conservation of Angular Momentum Given data on two disks, such as masses and inner/outer diameters/radii, and the initial angular velocities of the 2 disks, use the conservation of angular momentum principle to calculate the common angular velocity after the two disks are allowed to contact each other and spin together. Or, given the common final angular velocity, solve for unknowns such as the initial angular velocity of one of the disks. Or, given data on the starting and final angular velocities and some data on the disks, solve for unknowns such as moments of inertia, masses or diameters/radii. EXAMPLE Two metal disks have masses m1=3.45 kg and m2=UNKNOWN kg, and each has a radius of 8.31 cm. (You may ignore the inner hole for both disks assume that it is very small.) They spin on cushions of air in a standard rotational dynamics apparatus. Initially, disk #1 is spinning counterclockwise at 6.02 rad/s and disk #2 is spinning clockwise at 2.50 rad/s. A pin is removed that drops disk…

Twin skaters approach one another as shown in the figure below and lock hands.   (a) Calculate their final angular velocity, given each had an initial speed of 1.60 m/s relative to the ice. Each has a mass of 70.0 kg, and their centers of mass are 0.850 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius. rad/s(b) Compare the initial and final kinetic energy. Ki Kf  =

la) A “dumbbell" used in the energy conservation in rotational motion lab, consists of a cylindrical rigid rod with two 0.2 kg masses fixed at the ends. The mass of the rod is negligible when compared to the two masses. The diameter of the rod is 8 mm and its length is 20 cm. The rod is rotating about its center (with the axis of rotation perpendicular to the length of the rod as in today's experiment). What is the moment of inertia of this system?