Question
In this fulcrum, for the weights to be in balance, what do the distances d1 and d2 have to be if the overall length is 12 feet? d1 (to the nearest hundredth) = 7.20 feet. d2 (to the nearest hundredth) = feet.
151
likes753 views
Answer to a math question In this fulcrum, for the weights to be in balance, what do the distances d1 and d2 have to be if the overall length is 12 feet? d1 (to the nearest hundredth) = 7.20 feet. d2 (to the nearest hundredth) = feet.
Madelyn
4.786 Answers
For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same.
Let d1= x. since total distance is 12, we can write d2 = 12 - x
for the fulcrum to balance:
60x = 50(12 - x)
60x = 600 - 50x
110x = 600
x = 5.45
Thus, d1= 5.45
and
d2= 12 - d1 = 12 - 5.45 = 6.55
d1 = 5.45
d2 = 6.55
Frequently asked questions (FAQs)
What are the lengths of the two legs of a right triangle if the hypotenuse measures 10 units?
+
What is the domain and range of the reciprocal function f(x) = 1/x?
+
What is the limit as x approaches 2 of (2x+4) / (x^2-4) ?
+
New questions in Mathematics