Three stage lights are mounted on a pipe as shown. The lights at A and B each we

Question

Three stage lights are mounted on a pipe as shown. The lights at A and B each weigh 4.1 lb, while the one at C weighs 3.5 lb. (a) If d 25 in., determine the distance from D to the line of action of the resultant of the weights of the three lights. (b) Determine the value of d so that the resultant of the weights passes through the midpoint of the pipe.

Correct answer is: ?(a) 39.6 in. to the right of D. (b) 33.1 in.

I will give you the points if you can clearly example and show me how to get to the answer!

Three stage lights are mounted on a pipe as shown. The lights at A and B each weigh 4.1 lb, while the one at C weighs 3.5 lb. (a) If d 25 in., determine the distance from D to the line of action of the resultant of the weights of the three lights. (b) Determine the value of d so that the resultant of the weights passes through the midpoint of the pipe. Correct answer is: ?(a) 39.6 in. to the right of D. (b) 33.1 in. I will give you the points if you can clearly example and show me how to get to the answer!

Explanation / Answer

X cm= m1*x1+m2*x2+m2*x3/(m1+m2+m3)

X= ((4.1*10)+(4.1*44)+(3.5*69))/(4.1+4.1+3.5)

Xcm = 39.6 in from D

b) Xcm = 42 in X cm= m1*x1+m2*x2+m2*x3/(m1+m2+m3)

x3 = 77.14

x3 = 44+d===>d = 77.14 d = 33.1 in

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