06 Area Within the Curve r^2 = 16 cos θ
Example 6
What is the area within the curve r2 = 16 cos θ?
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Example 6
What is the area within the curve r2 = 16 cos θ?
Find the area enclosed by four-leaved rose r = a cos 2θ.
Example 4
Find the area of the inner loop of the limacon r = a(1 + 2 cos θ).
Example 3
Find the area inside the cardioid r = a(1 + cos θ) but outside the circle r = a.
Example 6
Find each of the two areas bounded by the curves y = x3 - 4x and y = x2 + 2x.
Example 5
Find the area between the curves 2x2 + 4x + y = 0 and y = 2x.
Example 4
Solve the area bounded by the curve y = 4x - x2 and the lines x = -2 and y = 4.
Statics is a branch of mechanics which studies the effects and distribution of forces of rigid bodies which are and remain at rest. In this area of mechanics, the body in which forces are acting is assumed to be rigid. The deformation of non-rigid bodies is treated in Strength of Materials.
Topics in Statics:
This online reviewer of Engineering Mechanics is divided into two: Statics and Dynamics.
Statics includes the following topics: resultant of force system; equilibrium of force system; cables; friction; trusses; frames; centroid; center of gravity; and moment of inertia.
Dynamics will cover the following topics: kinematics, dynamics, kinetics, work-energy equation, impulse and momentum, and mechanical vibrations.
Example 2
Find the area bounded by the lemniscate of Bernoulli r2 = a2 cos 2θ.