Newton's Second Law of Motion
(5) Newton's second law of motion
- Newton's First law of Motion qualitatively defines the concept of force and the principle of inertia
- For an body at rest, application of force causes a changed in its existing state and application of force on a body moving with uniform velocity would
give the body under consideration as acceleration
- Newton's second law of motion is a relation between force and acceleration
- Newton's second law of motion says that
" The net force on a body is equal to the product of mass and acceleration of the body"
Mathematically
F_{net}=ma (1)
Where F_{net} is the vector sum of all the forces acting on the body
- Above equation -(1) can be resolved along x,y and z components .Thus in component form
F_{netx}=ma_{x}
F_{nety}=ma_{y}
F_{netz}=ma_{z}
- Component of acceleration along a given axis is caused only by the net component of force along that axis only not by the components of force along other
axis
- Newton's second law of motion is completely consistent with newton first law of motion as from equation (1) F=0 implies that a=0
- For a body moving under the influence of force, acceleration at any instant is determined by the force at that instant not by the previous motion of the
particle
- Newton's second law of motion is strictly applicable to a single particle .In case of rigid bodies or system of particles, it refers to total external
forces acting on the system excluding the internal forces in the system.
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