Work done by a spring
Work done by pumping a
liquid
Work done by a
spring
HOOKES LAW
Hookes Law states that within the limits of elasticity the displacement
produced in a body is proportional to the
TOPIC
LENGTH OF AN ARC
and
AREA OF SURFACE OF REVOLUTION
LENGTHS OF CURVES
To find the length of the arc of the curve y = f (x) between x =
a and x = b let ds be the length of a small element of arc s
PAPPUS THEOREM
S sd
2
dy
where s arc length 1 dx
dx
d C 2r
distance from the midpoint of the generating
line to the axis of rotation
d is the distance travelled by the curve' s geometric centroid
TOPIC
APPLICATIONS
CENTROIDS OF SOLIDS OF REVOLUTION
CENTER OF GRAVITY OF A SOLID OF REVOLUTION
The coordinates of the centre of gravity of a solid of
revolution are obtained by taking the moment of a
TOPIC
VOLUME OF SOLIDS OF REVOLUTION
OBJECTIVES
At the end of the lesson, the student should be
able to:
define what a solid of revolution is.
find the volume of solid of revolution using disk
method.