The minimum slope in degrees of the concrete surface with respect to the horizontal at which the wheel itself will start rolling downward is
Options:
(A) 2.29
(B) 5.28
(C) 23.58
(D) 27.13
Official Answer Key:
A
Step-by-Step Solution & Explanation
The wheel will begin to roll down a slope on its own once the down-slope component of its weight (W sinθ) just exceeds the rolling resistance (C_rr × W cosθ ≈ C_rr × W for small θ). At the threshold, tanθ = C_rr = F/W = 80/2000 = 0.04 (using the rolling resistance force found in Q.52). θ = tan⁻¹(0.04) = 2.29°, matching option (A) exactly — consistent with the same 80 N/2000 N rolling-resistance ratio used above.
Section 4 — Soil and Water Conservation Engineering
14 question(s) in this section: Q.6, Q.7, Q.8, Q.9, Q.10, Q.18, Q.19, Q.20, Q.21, Q.35, Q.36, Q.37, Q.38, Q.41
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.