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#1 2007-12-10 18:54:45
- ganesh
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Mechanics
Linear displacement
1) v = u + at
2) s = ut + ½at²
3) v² = u² + 2as
where u = initial velocity (Unit = meters/second)
v = final velocity (Unit = meters/second)
t = time (Unit = second)
a = acceleration (Unit = meters/second²)
s = displacement (Unit = meters)
Newton's second law of motion
F = ma
where F = Force (Unit=Newtons or kilograms meters/second²)
m = mass (Unit = kilograms)
a = acceleration (Unit = meters/second²)
w=mg
where w=weight (Unit kilograms meters/second²)
m=mass (Unit kilograms)
g=acceleration due to gravity (Unit meters/second²)
F = (G m1m2)/r²
where F = Force, G = Universal Gravitational Constant (Unit Newtons kilograms²/meters²)
r = distance between centers (Unit Meters)
p=mv
where p = momentum (Unit kilograms meters/second)
m = mass
v = velocity
Angular displacement
Torque = Moment of Inertia x radius x angular displacement
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#2 2007-12-10 22:39:52
- luca-deltodesco
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Re: Mechanics
Angular Kinematics
Tangentenial Velocity = Angular Velocity × Radius (m/s = (rad/s)×m)
Centripetal Acceleration = Tangentenial Velocity² / Radius (m/s² = (m²/s²)/m)
Centripetal Acceleration = Angular Velocity² * Radius ((rad²/s²)×m = m/s²)
Energy
Gravitational Potential Energy (gpe) = mgh (m = Mass (Kg), g = acceleration due to gravity (m/s²), h = height (m))
Linear Kinetic Energy (ke) = ½mv² (m = Mass (Kg), v = Velocity (m/s))
Rotational Kinetic Energy (ke) = ½Iw² (I = Moment of Inertia (Kgm²), w = rotational velocity (rad/s))
Elastic Potential Energy = Ex²/2l (E = Elastic Modulus/Young's Modulus (Pa), x = extension (m), l = original length (m))
Elastic Potential Energy = ½kx² (k = Spring Constant (Hooke's Law N/m), x = extension (m))
Elastic Potential Energy = ½fx (f = Force applied (N), x = extension (m))
Last edited by luca-deltodesco (2007-12-10 22:44:59)
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#3 2007-12-22 00:57:25
- ganesh
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Re: Mechanics
W=FS
where W is work done (in joules), F is force (in Newtons) and S is Displacement (in meters).
E=mc²
where E is Energy in Joules, m is mass in kilograms and c is velocity of light in meters per second (2.997x10^8)
Character is who you are when no one is looking.
#4 2007-12-22 02:28:59
- Daniel123
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Re: Mechanics
I = m(v-u)
where I is impulse in Newton seconds, m is mass in kilograms, v is final velocty in metres per second and u is initial velocity in metres per second.
Moment = (magnitude of force) x (perpendicular distance from line of action of force to pivot)
Moment is measured in Newton metres, force in Newtons, and distance in metres.
Conservation of momentum:
where m is mass in kilograms, u is initial velocity in metres per second, and v is final velocity in metres per second
i.e. momentum before collision = momentum after collision (providing no external forces act)
F = μR
where F is maximum friction measured in Newtons, μ is the coefficient of friction between the two surfaces, and R is the normal contact force
Last edited by Daniel123 (2007-12-22 02:46:12)
#5 2007-12-28 01:57:57
- ganesh
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Re: Mechanics
P=W/t where P is power in watts, W is work done in Joules, t is time in seconds.
E=mc²
where E is Energy in Joules, m is mass in kilograms, c is the velocity of light in meters per second.
Character is who you are when no one is looking.