Answer all questions below in conformity with proper problem-solving practices.
1. A 10.00 kilogram steel sphere is acted upon by the following concurrent force vectors:
57.6 N @ 090
65.9 N @ 318
154.0 N @ 164
21.4 N @ 277
248.0 N @ 030
Determine the magnitude and direction (in angular measure) of the equilibrant (the vector which must be added to these vectors to maintain equilibrium) by the vector component method.
2. You are provided with the following materials:
One 9.00 kilogram brass block with an attached massless hook
One spring scale calibrated in Newtons
One chain suspended from a fixed steel cross-beam with a hook attached
to the free end
One 2.00 meter length of wire with hooks attached at each end with a
collective mass of 1.00 kilogram
Based on this information and your knowledge of statics answer the following:
(A) Determine the reading on the spring scale when the brass block is suspended from the scale.
(B) Determine the reading on the spring scale when the wire is suspended from the scale with the block at the opposite end of the wire.
(C) Determine the reading on the spring scale if both hooked ends of the wire are attached to the spring scale forming a loop and and the brass block is suspended from the middle of the loop.
(D) Determine the reading on the spring scale if one end of the wire is attached to the suspended chain, the other end of the wire is attached to the scale which is in turn held at the same level as the end of the suspended chain to form a loop, and the block is furthermore suspended from the middle of this loop. Calculate the tension in each wire section.
(E) Imagine that the wire is looped between the chain and the block creating 5 sections. Determine the reading on the spring scale when it is attached to the remaining free end of the wire and held at the level of the end of the chain and the block is suspended from the loops created from the five sections. (This is a difficult question to visualize and answer.)