Torque: A light triangular plate OAB is in a horizontal plan…

Torque: A light triangular plate OAB is in a horizontal plane. Three forces, and act on the plate, which is pivoted about a vertical axes through point O. In the figure, 2 is perpendicular to OB. Consider the counterclockwise sense as positive. The sum of the torques about the vertical axis through point O, acting on the plate due to forces F1, F2, and F3, is closest to

Equilibrium: A stepladder consists of two halves, hinged at…

Equilibrium: A stepladder consists of two halves, hinged at the top, and connected by a tie rod that keeps the two halves from spreading apart. In this particular instance, the two halves are 2.50 m long, the tie rod is connected to the center of each half and is 70.0 cm long. An 800-N person stands 3/5 of the way up the stepladder, as shown in the figure. Neglecting the weight of the ladder, and assuming that the ladder is resting on a smooth floor, what is the tension in the tie rod? Note: To solve this problem you must “cut” the ladder in half and consider the equilibrium of forces and torques acting on each half of the ladder.

The origins of life are hard to determine because of the lac…

The origins of life are hard to determine because of the lack of fossils. However, in 1967 Lynn Margulis arrived at a theory for the origin of eukaryotic organisms termed the endosymbiotic theory or endosymbiosis. This theory is well accepted today as the origin of eukaryotes. The endosymbiotic theory states that: