The GATE Grind

GATE Geomechanics and Ground Control: Engineering Mechanics – Previous Year Questions

17 GATE previous year questions on Engineering Mechanics (Geomechanics and Ground Control, Mining Engineering) with answers and explanations, from every paper.

  1. GATE 2021 MN Q35 (1 mark, Numerical answer) – A vehicle travelling 12 m/s skids without rolling to rest over 15 m on a level road. Deceleration is constant and g=10 m/s². Find the tyre-road…
  2. GATE 2021 MN Q48 (2 marks, Numerical answer) – A simply supported 2 m beam carries a triangular UDL increasing from zero at A to 5 kN/m at B. Find maximum bending moment in kN·m, to two decimals.
  3. GATE 2021 MN Q57 (2 marks, Numerical answer) – Fly rock is launched at 45° from the third bench above the pit bottom. Each bench is 8 m wide, 6 m high, with 80° faces, as shown. With g=10 m/s²,…
  4. GATE 2021 MN Q65 (2 marks, Numerical answer) – Three collinear steel-bar segments have lengths 250, 500, 250 mm and equal area 0.01 m². E=200 GPa. Axial forces at successive nodes are 400 kN right,…
  5. GATE 2022 MN Q20 (1 mark, Multiple choice) – For the pin-jointed truss and loads shown, find axial force in member BD in kN.
  6. GATE 2022 MN Q48 (2 marks, Numerical answer) – Two weightless cables of equal length and area support the ends of a light 1 m horizontal bar. Cable 1 has modulus 50 GPa and cable 2 has modulus 200…
  7. GATE 2023 MN Q31 (1 mark, Numerical answer) – Punch a 10 mm diameter hole through a 5 mm thick rock plate as shown. The rock plate yield strength is 25 MPa. Find the punch force in kN, to one…
  8. GATE 2023 MN Q49 (2 marks, Numerical answer) – A dozer pushes a 100 kg cable spool at constant speed up a 20° incline. The road contact A has kinetic friction coefficient 0.15; bucket contact B has…
  9. GATE 2023 MN Q52 (2 marks, Numerical answer) – A UAV of mass 1.2 kg carries a 2 kg payload vertically through 100 m in 10 s at constant speed. Find lifting power in kW, to two decimals.
  10. GATE 2024 MN Q56 (2 marks, Numerical answer) – A 600 N worker lifts 100 N as drawn. Half the worker’s weight acts at A. The lumbar joint L is a smooth hinge; erector-spinae force FE is parallel to…
  11. GATE 2024 MN Q57 (2 marks, Numerical answer) – A 10 kg ball experiences the two 100 N forces shown:one due east and one 45° north of west. Find acceleration magnitude in m/s², to two decimals.
  12. GATE 2025 MN Q19 (1 mark, Multiple choice) – Three frictionless pulleys and attached ropes are in static equilibrium as drawn. Find masses m₁,m₂ in kg respectively.
  13. GATE 2025 MN Q54 (2 marks, Numerical answer) – The five-member truss is shown. Member CD may carry at most50 kN and BC at most30 kN. Find maximum downward load P at D in kN to two decimals.
  14. GATE 2026 MN Q21 (1 mark, Multiple choice) – For the simply supported beam and loads shown, at which labelled location does the shear-force diagram cross zero?
  15. GATE 2026 MN Q32 (1 mark, Numerical answer) – A shaft slows uniformly from50 to20 revolutions/s over15 s. How many rotations occur? Give an integer.
  16. GATE 2026 MN Q63 (2 marks, Numerical answer) – The pin-jointed triangular truss PQR has span PR=5 m, angles60° at P and30° at R, and a10 kN vertical downward load at Q. Find the force magnitude in…
  17. GATE 2026 MN Q64 (2 marks, Numerical answer) – Blocks P and Q weigh100 and200 kN. They are connected over a fixed frictionless pulley as drawn. Friction coefficient P–Q is0.4 and Q–floor0.3. Find…