The structure is mounted to the ground by a hinge at B and a roller at C and is also supported by a horizontal cable, AE, attached to the wall. The mass of the object hanging from cable DF is 186 kg. The tension in the support cable AE is 1950 N. It is desired to determine the force that each individual member will experience under the given loading conditions in order to decide what type of material to use to build the structure.

The ultracentrifuge is an important tool for separating and analyzing proteins. because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. if the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? ( be thorough on your answer)