Solve the Problem $53 \mathrm {~m}$ -Long Steel Beam Is Anchored at One End to a Is

Solve the problem.
-A $53 \mathrm {~m}$ -long steel beam is anchored at one end to a piling $7 \mathrm {~m}$ above the ground. Assume that when a certain heavy object is placed $\mathrm { d }$ meters from the anchored end, the beam bends s meters where
$$s = \left( 3 \times 10 ^ { - 6 } \right) d ^ { 2 } ( 150 - d ) \text {. }$$
How far is the heavy object from the anchored end if the vertical deflection is $0.50 \mathrm {~m}$ ? (Round to the nearest hundred)

A) $141.70 \mathrm {~m}$
B) $38.70 \mathrm {~m}$
C) $30.40 \mathrm {~m}$
D) $27.50 \mathrm {~m}$

Correct Answer:

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