SS2 Second Term Further Mathematics Lesson Note – Dynamics

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WEEK SIX

DYNAMICS

CONTENT

(a) Newton’s Laws of Motion

(b) Motion along Inclined Plane.

(c) Motion of Connected Particles

SUB TOPIC: NEWTON’S LAW OF MOTION

PARTICLE: This is a body or thing that has a negligible dimension. It is usually denoted by a point or dot.

MASS OF A BODY: This is the amount of matter contained in a body. It is measured in Kilogram me (Kg).

LINEAR MOMENTUM: The linear momentum of a particle is the product of the mass of the particle and its velocity. It is also known as momentum.

If mass= m, velocity= v and momentum= p.

Then, p=mv

NEWTON’S LAWS

FIRST LAW: Everybody or object remains at rest or of uniform motion unless compelled by an external force to act otherwise.

SECOND LAW: The rate of change of momentum of a body is proportional to the applied force and is in the direction of the force. (F =ma)

If a force F acts on a body of a mass m (kg) it produces acceleration (a) in the mass given by the relation. F=ma

THIRD LAW: To every action, there is always an opposite and equal reaction.

Examples:

1. A force P acts on a body of mass 5kg on a smooth horizontal floor. If it produces an acceleration of 4.5ms^-2, find the magnitude of P.

Solution:  a=4.5ms^-2  = 4 ½ ms^-2 = 9/2 ms^-2.

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