Simple Harmonic Motion

Summary Simple harmonic motion is any motion where the acceleration of restoring force is directly proportional to its displacement. Simple harmonic motion is defined by the formula acceleration  . The period of oscillation in simple harmonic motion is given by the formula  . Simple pendulum is also a simple harmonic motion as we showed that … Read more

The Coefficient of Friction

Summary Restriction to a motion is known as Frictional Force. Limiting Equilibrium is when frictional contact force is maximum, which happens when the object is at the point of sliding or moving. The magnitude of the limiting friction bears a constant ratio  ,  to the normal contact force R. For General equilibrium  For Limiting equilibrium  … Read more

Work, Energy and Power

Summary Work Done = FD cos () where F is the Force applied to an object, D is the distance moved by the object and    is the angle at which the force is applied. The energy of a body is its capacity for doing work. i)  ii)  Power is the rate of doing work … Read more

Acceleration

Summary Five constant acceleration equations: Acceleration of free falling object 9.8 To start off with we revise a few basic concepts involved in kinematics:  Distance: It is the length of a given path covered by a moving particle. It is a scaler quantity and it is measured in metre (m).  Displacement: It is the position … Read more

Compound Angle Formulae

Summary Compound angle formulas are: Half angle formulas are: Function to trigonometric form: In Fig 1, and are acute angles and As Hence, Replacing B by -B in i) Also from the diagram: Hence, Also: We have derived the compound angle formulae above. All the compound angle formulas are listed below: Double Angle formulae We … Read more

Solving Trigonometric Equations

Summary To solve trigonometric equations, several identities and formulas are used i.e: For basic trigonometric equations, we follow the following steps to solve them: 1.    Make sine, cosine or tangent the subject. 2.    Use any method including a calculator to find basic angles. 3.    Using quadrants, find all solutions in the given range. Example #1 … Read more