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All Physics

Mechanics. Physics formulas

Kinematics

SymbolMeasured inDescription
S m distance travelled
v m/s velocity
t s time
x m coordinate
a m/s2 acceleration
ω s-1 angular velocity
T s period
ν Hz frequency
ε s-2 angular acceleration
R m radius
Uniform motion: ν = const
Uniformly accelerated motion: 
Curvilinear motion:
Rotational motion:
Velocity and acceleration:

Dynamics and statics

SymbolMeasured inDescription
F N force
P kg*m/s momentum
a m/s2 acceleration
m kg mass
v m/s velocity
p N the weight of a body
g m/s2 acceleration of free fall
E J energy
A J work
N W  power
t s time
I kg*m2 moment of inertia
L kg*m2/s angular momentum
M N*m torque
ω s-1 angular velocity
Newton's first law:
When ∑ F = 0 => v = const
Newton's second law:
Newton's third law:
The fundamental law of dynamics for non-inertial frames of reference.
ma=ma0+Finert ,where a is the acceleration in the non-inertial frame and a0 that in the inertial frame of reference.
The velocity of the centre of mass:
The law of universal gravitation:
The weight of a body:
The force of friction:
Hooke's law:
Hooke's law: σ = Eε, where E is Young's modulus.
The dynamics and statics of rotational motion:
system axis I
a point on a circle the axis of symmetry mR2
a rod  through the middle 1/12 mR2
a rod  through the end 1/3 mR2
a solid sphere through the centre of the sphere 2/5 mR2
a spherical shell through the centre of the shell 2/3 mR2
a ring or a thin-walled cylinder the axis of symmetry mR2
a disc, a solid cylinder the axis of symmetry 1/2 mR2
The condition of equilibrium of bodies  ∑ M = 0 The law of conservation of momentum:
Potential and kinetic energy. Power:
The law of conservation of energy: