AS-Level Further Maths
Revision Session 1
Revision Session 2
Revision Session 3
Revision Session 4
From the specification and teaching guidance
There are no formulae for Hooke’s Law given in the formula booklet.
Hookes Law
Tension / Thrust
Unstretched length
(uncompressed length)
Extension (compression)
Modulus of Elasticity
(Newtons)
Hooke’s Law (applicable up to the elastic limit)
Young’s modulus of elasticity
(Pascals)
EA
Cross-sectional area
A fairly straightforward question involving equilibrium…
0.3m
0.25m
Draw a sketch!
A less straightforward question involving equilibrium…
l
x
l
y
Q
4l
Two identical elastic springs PQ and QR have natural length l and λ = 2mg. The springs are joined at Q. Their ends, P and R, are attached to fixed points with P being 4l vertically above R. A particle of mass m is attached at Q and hangs at rest in equilibrium. Find the distance of the particle below P.
P
R
Dynamics (acceleration is involved)
A light elastic spring has natural length 1.5m and modulus of elasticity 19.6N. It is attached at one end to a particle of mass 0.5kg and the other end to a fixed point O. It is on a rough plane, inclined at angle α where tan α = ¾. The coefficient of friction of the plane is 0.2. The particle is held at rest 1m from O and then released. Find its initial acceleration.
1m
α
From the specification and teaching guidance
There are no formulae for Hooke’s Law given in the formula booklet.
Elastic Energy
Applied Force, F
Extension, s
Work Done = Fs = Area under graph
A fairly straightforward elastic energy question…
λ = 14.4N
A less straightforward elastic energy question…
2m
x
1.2m
1m
2009
2019
Elastic energy horizontally
Combining topics
From the specification and teaching guidance
There are no formulae for Hooke’s Law given in the formula booklet.
AS-Level Further Maths
Revision Session 1
Revision Session 2
Revision Session 3
Revision Session 4
A fairly straightforward question…
A fairly straightforward question…