Answer:
a. 180,000 ft·lbf
b. AMA = 6
c. 90 ft
Explanation:
Here we have;
a. The amount of work one must put in is given by the following relation;
Work = Force × Distance = 12,000 × 15 = 180,000 ft·lbf
b. Ideal mechanical advantage IMA given by the following relation;
[tex]IMA = \frac{ Load}{Effort} =\frac{12000 \ lb}{2000 \ lb} = 6[/tex]
In the absence of friction IMA = AMA (Actual Mechanical Advantage) = 6
c.
[tex]IMA = \frac{Distance \ Moved \ By \ Load}{Distance \ Moved \ By \ Effort} =\frac{Y}{15} = \frac{12000}{2000} = 6[/tex]
Therefore, Y = 15×6 = 90
Therefore, X = √(90² - 15²) = 88.74 ft
The distance moved by the load is the length of the ramp = 90 ft.
