In: Physics
For years, the young Taco Prince knew he would one day be forced
to battle his rival, the Burrito known as “Happy Dave, The
Destroyer of Worlds”, to see who would become ruler of Corn
Tortilla Mountain. And that day had finally arrived. As the
challenger to the throne, Dave, the burrito, was required to wait
at the end of a beam suspended above a lake of molten Chile Con
Queso cheese dip. The Taco Prince was prepared to walk out onto the
beam and face his nemesis. The 6 meter long beam has a mass of 100
kg, the Taco Prince’s mass is 40 kg (he’s a really big Taco), and
the burrito’s mass is 50 kg (including the tomato wedge he’s using
as a weapon). Oh, and for some reason Jon is hanging from the beam
too. His mass is 70 kg, and he’s hanging from a spot 3.5 meters
from the left end, where the beam attaches loosely to a wall. A
cable attaches 0.50 meters in from the right end of the beam,
angled as shown. a. If the cable will snap once the tension reaches
1,800 Newtons, how close to the end of the beam can the Taco Prince
safely go, assuming Dave stays where he is? b. Determine the
magnitude of the force that the wall exerts on the beam. Note that
it may be easier to first treat it as a separate horizontal and
vertical force, and then find the magnitude.