27 real Engineering Mechanics questions from the Mechanical Core bank, as asked in Indian campus drives and tech interviews. Every question has a verified answer and an AI-tutor explanation on placd — free to start.
1. What is Lami's theorem?
Junior
A.three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
B.truss member carrying no load, identified where only two non-collinear members meet at an unloaded joint
C.moment of a force about a point equals the algebraic sum of the moments of its components about the same point
D.moment of inertia about any axis equals that about the parallel centroidal axis plus area (or mass) times the square of the distance between the two axes
A.Lami's theorem — angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion
B.Lami's theorem — moment of a force about a point equals the algebraic sum of the moments of its components about the same point
C.Lami's theorem — truss member carrying no load, identified where only two non-collinear members meet at an unloaded joint
D.Lami's theorem — three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
A.treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
B.angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion
C.moment of a force about a point equals the algebraic sum of the moments of its components about the same point
D.moment of inertia about any axis equals that about the parallel centroidal axis plus area (or mass) times the square of the distance between the two axes
A.Varignon's theorem — angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion
B.Varignon's theorem — moment of inertia about any axis equals that about the parallel centroidal axis plus area (or mass) times the square of the distance between the two axes
C.Varignon's theorem — moment of a force about a point equals the algebraic sum of the moments of its components about the same point
D.Varignon's theorem — truss analysis that cuts through at most three members and applies equilibrium to one part to find those member forces directly
A.three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
B.treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
C.point about which a rigid body in plane motion has zero velocity at that instant, found where perpendiculars to any two point velocities intersect
D.ratio of relative velocity of separation to relative velocity of approach along the line of impact, 1 for perfectly elastic and 0 for perfectly plastic collisions
8. Which term means: "ratio of relative velocity of separation to relative velocity of approach along the line of impact, 1 for perfectly elastic and 0 for perfectly plastic collisions"?
A.Coefficient of restitution — treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
B.Coefficient of restitution — ratio of relative velocity of separation to relative velocity of approach along the line of impact, 1 for perfectly elastic and 0 for perfectly plastic collisions
C.Coefficient of restitution — moment of a force about a point equals the algebraic sum of the moments of its components about the same point
D.Coefficient of restitution — three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
A.moment of inertia about any axis equals that about the parallel centroidal axis plus area (or mass) times the square of the distance between the two axes
B.three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
C.point about which a rigid body in plane motion has zero velocity at that instant, found where perpendiculars to any two point velocities intersect
D.treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
11. Which term means: "moment of inertia about any axis equals that about the parallel centroidal axis plus area (or mass) times the square of the distance between the two axes"?
A.Parallel axis theorem — moment of a force about a point equals the algebraic sum of the moments of its components about the same point
B.Parallel axis theorem — moment of inertia about any axis equals that about the parallel centroidal axis plus area (or mass) times the square of the distance between the two axes
C.Parallel axis theorem — angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion
D.Parallel axis theorem — ratio of relative velocity of separation to relative velocity of approach along the line of impact, 1 for perfectly elastic and 0 for perfectly plastic collisions
A.three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
B.ratio of relative velocity of separation to relative velocity of approach along the line of impact, 1 for perfectly elastic and 0 for perfectly plastic collisions
C.treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
D.angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion
14. Which term means: "angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion"?
A.Angle of friction — point about which a rigid body in plane motion has zero velocity at that instant, found where perpendiculars to any two point velocities intersect
B.Angle of friction — truss member carrying no load, identified where only two non-collinear members meet at an unloaded joint
C.Angle of friction — angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion
D.Angle of friction — treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
A.ratio of relative velocity of separation to relative velocity of approach along the line of impact, 1 for perfectly elastic and 0 for perfectly plastic collisions
B.point about which a rigid body in plane motion has zero velocity at that instant, found where perpendiculars to any two point velocities intersect
C.truss member carrying no load, identified where only two non-collinear members meet at an unloaded joint
D.truss analysis that cuts through at most three members and applies equilibrium to one part to find those member forces directly
17. Which term means: "truss analysis that cuts through at most three members and applies equilibrium to one part to find those member forces directly"?
A.Method of sections — ratio of relative velocity of separation to relative velocity of approach along the line of impact, 1 for perfectly elastic and 0 for perfectly plastic collisions
B.Method of sections — truss member carrying no load, identified where only two non-collinear members meet at an unloaded joint
C.Method of sections — moment of a force about a point equals the algebraic sum of the moments of its components about the same point
D.Method of sections — truss analysis that cuts through at most three members and applies equilibrium to one part to find those member forces directly
A.angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion
B.three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
C.treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
D.truss member carrying no load, identified where only two non-collinear members meet at an unloaded joint
A.Zero-force member — truss member carrying no load, identified where only two non-collinear members meet at an unloaded joint
B.Zero-force member — ratio of relative velocity of separation to relative velocity of approach along the line of impact, 1 for perfectly elastic and 0 for perfectly plastic collisions
C.Zero-force member — point about which a rigid body in plane motion has zero velocity at that instant, found where perpendiculars to any two point velocities intersect
D.Zero-force member — three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
A.moment of inertia about any axis equals that about the parallel centroidal axis plus area (or mass) times the square of the distance between the two axes
B.moment of a force about a point equals the algebraic sum of the moments of its components about the same point
C.three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
D.treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
A.D'Alembert's principle — angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion
B.D'Alembert's principle — three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
C.D'Alembert's principle — treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
D.D'Alembert's principle — truss analysis that cuts through at most three members and applies equilibrium to one part to find those member forces directly
A.ratio of relative velocity of separation to relative velocity of approach along the line of impact, 1 for perfectly elastic and 0 for perfectly plastic collisions
B.three concurrent coplanar forces in equilibrium are each proportional to the sine of the angle between the other two
C.point about which a rigid body in plane motion has zero velocity at that instant, found where perpendiculars to any two point velocities intersect
D.truss analysis that cuts through at most three members and applies equilibrium to one part to find those member forces directly
26. Which term means: "point about which a rigid body in plane motion has zero velocity at that instant, found where perpendiculars to any two point velocities intersect"?
A.Instantaneous centre of rotation — treating the inertia force −ma as an applied force converts a dynamics problem into an equivalent static equilibrium problem
B.Instantaneous centre of rotation — truss analysis that cuts through at most three members and applies equilibrium to one part to find those member forces directly
C.Instantaneous centre of rotation — point about which a rigid body in plane motion has zero velocity at that instant, found where perpendiculars to any two point velocities intersect
D.Instantaneous centre of rotation — angle whose tangent equals the coefficient of static friction, being the inclination of the resultant ground reaction to the normal at impending motion
Answers, AI explanations, and a free readiness check
Sign up free to check your answers with explanations, ask the AI tutor anything on any question, and take the free 2-minute readiness check for a scored result. The full AI mock interview, scored like a real panel, unlocks with Pro.