Physics Formulas in Mechanics
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Position vector |
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Instantaneous velocity |
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Instantaneous acceleration |
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Constant linear acceleration |
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Range |
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Angular velocity |
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Angular acceleration |
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Period |
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Frequency |
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Circumferential velocity |
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Centripetal acceleration |
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Newton’s 2nd Law |
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Force of a spring (Hooke's Law) |
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Force of friction |
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static friction |
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Universal Law of Gravitation |
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Linear momentum |
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Newton’s second law of motion |
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Impulse |
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Linear momentum of a system of particles |
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for i particles |
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Kinetic energy of a particle |
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Work and Work-Energy theorem |
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Power |
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Potential energy of a spring |
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k is the spring constant |
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Gravitational potential energy near the surface of a planet |
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y << radius of the planet |
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Gravitational potential energy at any distance from a planet |
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M is the mass of the planet |
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Total mechanical energy of a system of particles |
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for i particles |
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Angular momentum |
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Angular momentum of a rotating particle |
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Torque |
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Rate of change of angular momentum |
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Power on a rotating system |
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Center of mass |
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for j particles |
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One dimensional elastic collision of two particles |
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where m1 and m2 are the masses of particles one and two, v1 and v2 are their initial speeds, and u1 and u2 are their final speeds |
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Angular velocity of a rigid body |
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Angular acceleration of a rigid body |
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Rotational kinematics with constant acceleration |
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Rolling without slipping |
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Kinetic energy of a rotating rigid body |
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Moment of rotational inertia |
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Dynamic relations for rigid bodies with rotational or mirror symmetry |
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subscript A refers to a given axis |
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Density |
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Pressure |
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Pressure in an ideal gas |
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for an incompressible liquid: r = constant |
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Pressure gradient of a static fluid in a gravitational field |
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Archimedes’ principle |
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Equation of motion for a spring and any simple harmonic oscillator |
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Angular frequency for an oscillating spring |
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Displacement and velocity of an oscillating spring |
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two alternative expressions. |
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Angular frequency of a simple pendulum |
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Total energy in an oscillating spring |
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Total energy in a simple pendulum |
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