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External forces

Internal shear force

Rotational forces

Rolling forces

h / (kg^2 + h^2)

kg^2 + h^2 / h

h^2 / (kg^2 + h^2)

kg^2 + h^2 / h^2

The ropes' direction

The weight direction

The three axes of the body

(2u sin θ) / g

(u² sin 2θ) / 2g

(2u sin θ) / g cos θ

coplanar, concurrent forces

coplanar, collinear forces

collinear, non-concurrent forces

coplanar, non-concurrent forces

The net force will act at the centroid of the parabola.

The net load will not be formed as all the forces will be cancelled.

The net force will act on the base of the loading horizontally.

The net force will act at the center of the parabola.

Theorem used to add the two mutually perpendicular moments of inertia for linear distances

Theorem used to add the two mutually perpendicular moments of inertia for volumes

Theorem used to add the two mutually perpendicular moments of inertia for areas

Theorem used to add the two mutually perpendicular moments of inertia for vectors

N on the flat road > N on the hill

N on the flat road = N on the hill

N on the flat road < N on the hill

No relation between N on the flat road and N on the hill

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Engineering-mechanics Questions Set 14:

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What is the parallel axis theorem and to whom is it applied?

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A bike moves on a (i) flat road and further goes on to (ii) climb a hill with circular profile (i.e. consider the hill to be a semicircle). Analyzing both paths, what would be the nature of the normal reaction force? (N is used to denote normal force)

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