Oh Dear!

However, Applied Maths can be rather confusing at times, and we know that. But never fear! This site is here to help you overcome this difficulty with ease. We hope that you find what's here to be helpful. Have fun and explore!

(And maybe learn something)

Available

Each Question

H1 Standard

**QUESTION 1**- This question deals with particle motion. It covers displacement, velocity as vectors and applications of the vector addition law. You need to be able to describe a vector in terms of a unit perpendicular vector. It also looks at elementary treatment of relative motion.**QUESTION 2**- This looks at Newton’s laws, what mass, momentum and acceleration are, and how they act. It looks at forces as vectors and the different units and dimensions.**QUESTION 3**- Motion in a straight line under uniform acceleration e.g. motion under gravity, motion on smooth and rough inclined planes. Work, potential energy, kinetic energy, power. Application of energy conservation. Motion of connected particles.**QUESTION 4**- This looks specifically at the equilibrium of a particle under concurrent forces, including friction.**QUESTION 5**- This questions deals with the centre of gravity of simple bodies and systems of particles. It looks at moments and couples and the equilibrium of a rigid body or bodies (multiple bodies on the higher level course only).**QUESTION 6**- This looks at liquid pressure and Archimede’s Principle (Law of Buoyancy). It also looks at thrust on a horizontal surfaces.**QUESTION 7**- This looks at projectiles. For the higher level course it also looks at projectiles on inclined plane.**QUESTION 8**- Question 8 deals with angular velocity. It deals with uniform motion in a circle without gravitational forces, the conical pendulum and circular orbits.**QUESTION 9**- This covers the conservation of momentum, collisions both direct and (higher level) oblique. It looks at elastic (0 < e ≤ 1) and inelastic (e = o) collisions.**QUESTION 10**-**Higher Level Only**- This looks at simple harmonic motion of a particle in a straight line, and the application of simple harmonic motion to include the simple pendulum.

**Also included on the Higher Level course is:**

Motion of a rigid body about a fixed axis:

(a) Calculation of moments of inertia for a rod, rectangular lamina, circular lamina and compound bodies formed of those. (Sphere is excluded). Application of parallel and perpendicular axes theorems, with proofs done as classwork. Idea of radius of gyration. Application of the conservation of energy principle to a rotating body.

(b) Application of the principle of angular momentum: rate of change of angular momentum about a fixed axis equals the total external moment about that axis. Compound pendulum. Simple applications.

Ordinary differential equations and applications:

(a) first order, variables separable;

(b) Second order reducing to type (a)