Did I miss it? What size is the overhead drop? I got the 50 feet length and it rises as you head to the pole.
That said 50 feet span is almost nothing and would seldom require additional bracing if only three feet of mast for typical aluminum triplex that would be used here.
All the OP said is its a little less than 3' above the roof, but we don't know if the roof is a RMC conduit support.
A structural engineer could calculate it and write you a report for $500

...
Seems it should not be that hard to calculate, utility people subscribe to software that just spits that out, the OP could ask the utility to do it or
with about 5 inputs one could do a approximate Conduit Mast Deflection and Load Calculation using other inputs from the NESC:
So far we have:
1) Conduit Size: 2" RMC.
2) Span: 50 ft.
What we don't have is
3) Unbraced Length: Distance between the last acutal rigid clamp and where the ASCR is attached (lever arm).
4) Elevation Offset: (Up/downhill, e.g., 15 ft).
5) ACSR Size / type / Name: (e.g., Sparrow).
Using AI I plug in
Conduit Trade Size / Type: (2" RMC).
Span: 50'
Elevation Offset: 15'
ACSR Name: Sparrow.
Solve for Unbraced Length
It says:
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ENGINEERING ANALYSIS: 2" RMC SERVICE MAST STRENGTH
Scenario: 50' Span, #2 ACSR Sparrow, 15' Uphill Elevation Offset
Loading District: NESC Medium
===========================================================================
STEP 1: CONDUCTOR CONSTANTS (#2 ACSR SPARROW)
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- Bare Weight (w_b): 0.091 lbs/ft
- Diameter (D): 0.316 inches
- Breaking Strength: 2,850 lbs
STEP 2: CALCULATE RESULTANT WEIGHT (w_r) UNDER LOAD
---------------------------------------------------------------------------
Formula: w_r = sqrt((w_wire + w_ice)^2 + (w_wind)^2) + K
- Ice (0.25" radial): Adds 0.174 lbs/ft (New Diam: 0.816")
- Wind (4 psf): (0.816/12) * 4 = 0.272 lbs/ft
- NESC Constant (K): 0.200 lbs/ft
- Resultant (w_r): sqrt((0.091+0.174)^2 + 0.272^2) + 0.20
w_r = 0.58 lbs/ft (approx)
STEP 3: CALCULATE TENSION AT MAST (T_max)
---------------------------------------------------------------------------
Because of the 15' uphill slope, the mast at the top carries more
weight than the pole at the bottom.
- Horizontal Tension (H): 500 lbs (Assumed based on 20% RBS)
- Slope Factor: In a 15' rise over 50', the mast supports
nearly the full weight of the wire span.
- Tension at Mast (P): H + (w_r * Elevation_Offset)
500 + (0.58 * 15) = 508.7 lbs (Approx 510 lbs)
STEP 4: DETERMINE CONDUIT STRENGTH LIMIT (M_a)
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- Material: 2" Rigid Metal Conduit (RMC)
- Section Modulus (S): 0.508 in^3
- Steel Yield (sigma): 30,000 psi
- Strength Factor (SF): 0.85 (NESC Grade C / Residential)
- Allowable Moment (M_a): sigma * S * SF
30,000 * 0.508 * 0.85 = 12,954 in-lbs
STEP 5: SOLVE FOR MAX UNBRACED LENGTH (L)
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The "Leverage" formula: M = P * L
Rearranged: L = M_a / P
L = 12,954 in-lbs / 510 lbs
L = 25.40 inches
===========================================================================
FINAL VERDICT:
Max Unbraced Length from top support to wire attachment is 25.4".
Anything higher (like 30") requires a back-guy or 2.5" RMC.
===========================================================================