GATE ME 2026 Set 1 — Question 29
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Engineering Mechanics → Fluid Properties & Statics → Free-Body Diagrams & Equilibrium
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Question
A hydraulic crane supports a mass of with its piston-cylinder actuator, inclined at with horizontal, as shown in the figure below. The diameter of the piston is and gravitational acceleration is . Neglecting mass of the piston, the reading of the pressure gage in kPa (gage) is
Correct answer
(A) 61.26
Solution
The force acting along the axis of the piston is the component of the weight in that direction.
Given:
Mass
Gravity
Angle of inclination with horizontal
Piston diameter The component of the vertical weight acting along the axis of the cylinder is:The cross-sectional area of the piston is:The gage pressure is given by:Thus, the correct option is (A).
Given:
Mass
Gravity
Angle of inclination with horizontal
Piston diameter The component of the vertical weight acting along the axis of the cylinder is:The cross-sectional area of the piston is:The gage pressure is given by:Thus, the correct option is (A).
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