A weight of 1000 grams hangs from a lever 20cm to the fulcrum. At the left is a 500-gram weight 20cm from the fulcrum, and a 200-gram weight x cm away from the fulcrum. What is the value of x that will make the lever balanced?
-
A.
50cm -
B.
20cm -
C.
10cm -
D.
30cm -
E.
70cm
Correct Answer: Option D
Explanation
Taking moment about F,
200(X + 20) + (500 x 20) = (1000 x 20)
200X + 4000 + 10000 = 20000
200X + 14000 = 20000
200X = 20000 – 14000
200X = 6000
X = 30cm