Two 6-in wide wooden boards are to be joined by splice plates that will be fully glued on the contact surfaces. the glue to be used can safely provide a shear strength of 120 psi. determine the smallest allowable length l that can be used for the splice plates for an applied load of p = 15,000 lb. note that a gap of 0.5 in is required between boards 1 and 2.which one of these is the right answer and show work to prove why. a) 19.7 inb) 15.7 inc) 24.3 ind) 21.3 ine) 11.6 in

Animals respond in various ways to stimuli detected through their senses. some of these responses are stimulated by the presence of danger. which of these animal responses is the best example of a response to an immediate threat? a) a rooster crows every morning at the first sign of light. b) as something approaches an octopus, it shoots a cloud of ink. c) from late fall until spring, bears hibernate to preserve energy. reactivate d) a dog is getting hot in the sunlight, so he moves to a shaded area.

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Two steel balls, each of mass m, are welded to a light rod of length l and negligible mass and are initially at rest on a smooth horizontal surface. a horizontal force of magnitude f is suddenly applied to the rod as shown. determine (a) the instantaneous acceleration a of the mass center g and (b) the corresponding rate at which the angular velocity of the assembly about g is changing with time.