Answer:
A stable ride
Explanation:
A Catamaran hull is a form of sea craft invented by the Austronesian peoples, the invention of the Catamaran hull enabled these people to sail across the sea in their expansion to the islands of the Indian and Pacific Oceans. Catamaran has multiple hulls, usually two parallel hulls of equal size. This geometric feature gives the craft an increased stability because, it derives extra stability from its wide beam, in the place of a ballasted keel employed in a regular monohull sailboat. A Catamaran hull will require four times the force needed to capsize it, when compared to an equivalent monohull.
How a single force is resolved along the perpendicular axis acting an angle theta with horizontal?
Answer:
A single force, which is acting at angle θ from a horizontal axis, can be resolved into components which act along the perpendicular axis.
Consider the perpendicular axis x and y, where x represents the horizontal axis and y represents vertical axis.
The Force is resolved into 2 parts, one acts along x-axis and is represent by X. The other acts along y-axis and is represented by Y.
From the diagram we can see that the Force and its components X and Y makes up a right angles triangle, where θ is the angle from the x-axis
Find X:We know that:
cosθ = Base/Hypotenuse
cosθ = X/F
X = Fcosθ
Find Y:
We know that:
sinθ = Perpendicular/Hypotenuse
sinθ = Y/F
Y = Fsinθ
Relation of Force and its Components:
Force F can be represent by:
F = Fcosθ (along x-axis) + Fsinθ (along y-axis)
As they form a right angled triangle, we can use Pythagoras Theorem to show the relation between Force and its components.
Hypotenuse² = Base² + Perpendicular²
F² = X² + Y²
F² = (Fcosθ)² + (Fsinθ)²
[tex]F = \sqrt{(F\cos\theta)^2+(Fsin\theta)^2}[/tex]
Where θ can be found by using any of the trignometric functions.