System Of Particles Flashcards
Total mass of a system times acceleration is
Vector sum of all forces acting on the system of particles
How does centre of mass move?
As if all the mass of the system is concentrated at the C.M & all ext forces were applied at thar point
Total momentum of a system
Product of total mass & velocity at C.M
F(ext) =
dP/dt
formula conservation of linear momentum
If F = 0, dP/dt = 0, P = const
Velocity is constant
A X B =
ABsinø
Magnitude of i X j
Sin90 = 1
Cross product of 2 same unit vectors is
0
Magnitude of Linear velocity V =
r omega
What happens when rotation about a fixed axis
Direction of omega doesn’t change
Magnitude may(instant to instant)
Torque is tau =
r X F
L =
r X P
Relation between torque & angular momentum
Time rate of change of angular momentum = torque acting on it
Tau(ext) =
dL/dt
Conservation of angular momentum
If Tau(total ext) on a system is 0, then total angular momentum of the system is conserved(const)
