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ICAR AIEEA-PG Mechanics of Tillage & Traction (Soil Dynamics): practice questions

ICAR AIEEA-PG — Agricultural Engineering & Technology (Major Subject Group 10) · India · National Testing Agency for ICAR

Original practice questions written to the published syllabus · not past papers
10worked here, free
49written to this exam in this subject
13syllabus units

What this subject covers

How soil resists tools and supports wheels: draft, slip, tractive efficiency, weight transfer and stability.

In the exams: GATE AG Section 3 (traction asked in all 8 papers 2019–26; weight transfer and stability in 5 of 8); ICAR AICE subject 39 Unit 6; ASRB NET FMP

What ICAR AIEEA-PG asks from it

ICAR AIEEA-PG — Agricultural Engineering & Technology

Unit V farm machinery and power: definitions of slip, tractive efficiency, rolling resistance, cone index, weight transfer and stability, with short calculations.

Where the 49 questions fall

How our questions for ICAR AIEEA-PG spread across the units of Mechanics of Tillage & Traction (Soil Dynamics). Difficulty: 30 easy, 17 medium, 2 hard.

Traction theory: slip, rolling resistance and net traction9
Longitudinal and lateral stability5
Dynamic properties and strength of soil4
Prediction of draft4
Tractive efficiency4
Wheel and track mechanics4
Soil-tool mechanics3
Weight transfer3
Determination of the centre of gravity3
Tractor chassis mechanics3
Soil compaction by vehicles3
Cone index and cone penetrometer2
Traction in wetland soils2

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · Dynamic properties and strength of soil · easy

A soil has cohesion 15 kPa and angle of internal friction 25°. What is its shear strength on a plane carrying a normal stress of 100 kPa?

  1. 46.6 kPa
  2. 57.3 kPa
  3. 61.6 kPa
  4. 105.6 kPa
Answer and working

C. 61.6 kPa

τ = c + σ tan φ = 15 + 100 × tan 25° = 15 + 46.6 = 61.6 kPa. Leaving out cohesion gives 46.6 kPa; using sin φ instead of tan φ gives 57.3 kPa. 105.6 kPa uses cos φ instead of tan φ.

2 · Dynamic properties and strength of soil · medium

For a cohesive soil, how does adhesion to a steel tool usually change as moisture content rises from dry to very wet?

  1. It rises to a maximum at intermediate moisture and then falls as a water film lubricates the interface
  2. It falls steadily from its highest value in dry soil, because water always weakens the bond between clay and steel
  3. It stays constant because adhesion depends only on clay mineral type
  4. It rises steadily and is highest in saturated soil
Answer and working

A. It rises to a maximum at intermediate moisture and then falls as a water film lubricates the interface

Dry soil has little stickiness; adhesion rises with moisture as water bridges form, then falls when a free water film separates soil from steel. This is why sticky clays cause build-up at intermediate moisture.

3 · Traction theory: slip, rolling resistance and net traction · easy

A tractor covers a marked distance in 17 drive-wheel revolutions without load and in 20 revolutions when pulling a plough. What is the slip?

  1. 17.6 %
  2. 85.0 %
  3. 8.1 %
  4. 15.0 %
Answer and working

D. 15.0 %

s = 1 − N0/N1 = 1 − 17/20 = 15.0 %. Using (N1 − N0)/N0 = 17.6 % is the common wrong basis: slip is referred to the loaded revolutions (theoretical travel). 85.0 % is N0/N1 itself; 8.1 % divides the difference by the sum of the revolutions.

4 · Traction theory: slip, rolling resistance and net traction · easy

A tractor carries 20 kN on its drive wheels on dry sand (c = 0, φ = 30°). What is the maximum thrust the soil can provide?

  1. 10.00 kN
  2. 34.64 kN
  3. 17.32 kN
  4. 11.55 kN
Answer and working

D. 11.55 kN

H = A·c + W tan φ; with c = 0, H = 20 × tan 30° = 11.55 kN. Contact area does not matter in dry sand. Using sin φ gives 10.00 kN. 34.64 kN divides by tan φ; 17.32 kN uses cos φ.

Further reading: Micklethwaite relation, in Wong, Theory of Ground Vehicles

5 · Tractive efficiency · medium

Why does tractive efficiency pass through a maximum as slip rises?

  1. Rolling resistance falls to zero at the optimum slip, so all axle power reaches the drawbar there
  2. Gross traction becomes negative at high slip
  3. Engine power falls as slip rises
  4. Net traction rises quickly then levels off, while the speed loss grows in proportion to slip
Answer and working

D. Net traction rises quickly then levels off, while the speed loss grows in proportion to slip

At zero slip, net traction and TE are zero. NT/GT rises steeply then saturates as soil strength is mobilised, while (1 − s) falls steadily; their product peaks.

6 · Cone index and cone penetrometer · easy

A standard cone of base area 323 mm² needs a force of 450 N to penetrate soil at the standard rate. What is the cone index?

  1. 1393 kPa
  2. 1.39 kPa
  3. 1393189 kPa
  4. 3462 kPa
Answer and working

A. 1393 kPa

CI = F/A = 450 N / 323 × 10⁻⁶ m² = 1393189 Pa ≈ 1393 kPa (1.39 MPa). Dividing by mm² directly gives MPa-scale numbers in the wrong unit; using the small cone's area gives 3462 kPa.

Further reading: ASABE S313

7 · Weight transfer · easy

Weight transfer from the front to the rear axle of a pulling tractor increases when

  1. the wheelbase is lengthened
  2. the drawbar pull is reduced
  3. extra front ballast is added
  4. the hitch height is raised
Answer and working

D. the hitch height is raised

ΔW = P·h/L: higher hitch or higher pull increases transfer; a longer wheelbase reduces it. Front ballast raises the front load but does not change the amount transferred.

8 · Longitudinal and lateral stability · medium

A tractor with a rigid front axle has track width 1.6 m and CG 0.9 m above ground, midway between the wheels. What is the static side slope at which it begins to overturn?

  1. 60.6°
  2. 41.6°
  3. 48.4°
  4. 62.7°
Answer and working

B. 41.6°

tan θ = (t/2)/h = 0.8/0.9 = 0.889 → θ = 41.6°. Using the full track gives 60.6°, which overstates stability. 48.4° inverts the ratio; 62.7° uses sin⁻¹ instead of tan⁻¹.

9 · Tractor chassis mechanics · easy

When taking moments about the rear wheel contact point of a tractor on level ground, why do the front wheel rolling resistance and rear wheel thrust not appear?

  1. They are always negligible compared with weight
  2. They cancel each other exactly
  3. They act at the axle height and cancel exactly with the drawbar pull, so together they contribute no net moment about that point
  4. They act horizontally at ground level, so their lines of action pass through the moment point's level and have zero arm
Answer and working

D. They act horizontally at ground level, so their lines of action pass through the moment point's level and have zero arm

Both forces act at the tyre-soil interface, at ground level, so their moment about a point on the ground is zero. They do enter the horizontal force balance.

10 · Soil compaction by vehicles · medium

According to the widely used conclusion from Söhne's work, subsoil stress under a tyre is governed mainly by

  1. the tyre inflation pressure
  2. the tyre tread pattern
  3. the forward travel speed
  4. the total axle load
Answer and working

D. the total axle load

Topsoil stress follows contact (roughly inflation) pressure; deeper stress follows total load. Lower pressure protects topsoil, but only lighter axle loads protect the subsoil.

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Read the subject

Mechanics of Tillage & Traction (Soil Dynamics)The full study manual, free ICAR AIEEA-PGFormat, sections and how it has changed

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Mechanics of Tillage & Traction (Soil Dynamics) for other exams

GATE · IndiaICAR AICE-JRF/SRF · IndiaRajasthan PSC · India

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