Unit 1 MCQ Bank

For a concurrent coplanar force system to be in equilibrium, which condition must hold?

When a circular hole is removed from a uniform lamina, how should that area be treated in the centroid table?

Which expression is the correct parallel axis theorem for one component of a composite section?

Varignon's theorem states that the moment of a force about a point equals:

The centroid of a semicircular area of radius r lies at what distance from its diameter?

The perpendicular axis theorem applies directly to:

For a general coplanar force system, which answer fully defines the resultant?

If a force F makes an angle θ with the vertical, its horizontal component is:

The SI unit of second moment of area is:

A pure couple has:

The centroid of a quarter-circle area of radius r is located at what distance from each straight edge?

If a composite area has one clear axis of symmetry, what can you conclude immediately about its centroid?

For a parallel force system, the location of the resultant is usually found from:

For a rectangle of width b and height h, the centroid measured from one corner is located at:

For a triangular area with base on the x-axis, the centroid lies at what distance from the base along its altitude?

When subtracting a hole in a centroid calculation, which quantity must also be treated as negative besides the area?

For a uniform lamina, the centroid location depends primarily on:

Among all axes parallel to each other, the second moment of area is smallest about:

The moment of a pure couple about any point is:

A force has zero moment about point O when:

If the vector sum of forces is zero but the algebraic sum of moments is non-zero, the system reduces to:

For a general coplanar rigid body to be in equilibrium, which set of equations is required?

The principle of transmissibility for a rigid body says that a force may be moved anywhere:

Why is resolving an oblique force into horizontal and vertical components often preferred before taking moments?

The second moment of area of a rectangle b by d about its centroidal x-axis parallel to the base is:

The second moment of area of a circle of radius r about a centroidal diameter is:

For a composite area made from two added shapes and one circular hole, the denominator in x-bar is:

In an unsymmetrical composite section, the centroid shifts toward the region with:

The second moment of area is primarily a measure of:

For a concurrent force system, the line of action of the resultant must pass through:

If a force F makes an angle θ with the horizontal, its vertical component is:

Two equal and opposite parallel forces of magnitude F separated by distance d form a couple of moment:

When computing the second moment of area of a section with a circular hole, the hole contribution should be:

For a composite area with a large cut-out, the centroid may:

For the perpendicular axis theorem Iz = Ix + Iy to apply, the x and y axes must:

If a force system has resultant components Rx and Ry, the direction angle θ from the positive x-axis is commonly found from:

Why does material farther from a reference axis contribute more strongly to second moment of area?

In moment calculations for a force system, the safest practice is to:

The moment arm of a force about a point is the:

For an L-shaped area with no axis of symmetry, which centroid coordinates normally require calculation?

If the horizontal and vertical resultants are Rx and Ry, the resultant magnitude is:

The centroid of a semicircular area lies on:

The first moment of area has SI units of:

When applying I = IG + Ad^2 to one component of a composite section, A refers to:

Varignon's theorem is especially useful when:

A general coplanar force system can always be reduced at an arbitrary point to:

If the line of action of a resultant passes through point O, its moment about O is:

The second moment of area of a section depends on:

In a composite centroid table with a hole, which sign error is most dangerous?

After resolving a force into two perpendicular components, the total moment about a point is: