Answer:
a)
b) l=19.2 units
Step-by-step explanation:
a)Let F represent the force and l represents the length of the wrench handle.
Then inverse variation relation is:
When we introduce the variation constant, we get:
From the question when F=96, l=12
The equation is
b) If a person can only exert 60 pounds of force on a wrench,then
Hence the length of the wrench must be 19.2 units
Answer:
Step-by-step explanation:
Angles are measured from the direction of motion, so the "force made good" is the force in the rope multiplied by the cosine of the angle. If the forces in the ropes (in Newtons) are represented by x and y, then we have ...
x·cos(40°) +y·cos(55°) = 700
In order for the resultant to be in the direction of motion, the forces perpendicular to the direction of motion must cancel.
x·sin(40°) - y·sin(55°) = 0
Here, we have assumed that the positive direction for measuring 40° is the negative direction for measuring 55°. That is, the angles are measured in opposite directions from the direction of motion.
Any of the usual methods for solving systems of linear equations can be used to solve this set. My preference is to use a graphing calculator. It gives the answers summarized above.
