Question

Question #1411e

Answer 1

So the answer is `d-> 3/2`

Explanation:

Let clockwise be positive
Let anticlockwise be negative

Taking moments about `F_1` (Sum of moment must = 0)

`0=-(W/8xxL/16) -(F_2xx(5L)/8)+((5W)/8xx(5L)/16)+(W/4xx(6L)/8)`

`(5LF_2)/8= (25WL)/128+(3WL)/16-(WL)/128`

`(5LF_2)/8= (24WL)/128+(3WL)/16`

`(5LF_2)/8= (3WL)/8`

`=>5LF_2=3WL`

`color(blue)(=>F_2=3/5W)`

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`color(brown)("Total downward force = total up")`

`color(blue)(=>F_1=W-3/5 W = 2/5 W)`

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Thus the ratio of `F_1/F_2 = (2W)/5 -:(3W)/5 = 2/3`

So the answer is `d-> 2/3`