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Unformatted text preview: = = 4π2rT2 4π2rf2 avg inst Basic Constants for Mechanics Standard Gravity g = 9.81 m/s 2 Gravitational constant G = 6.67 × 10-11 N ⋅ m 2 /kg 2 Pi π = 3.1415927 π rad = 180 ° = ½ rev Velocity and Acceleration 1D Motion (valid for X & Y directions) Circular Motion Velocity Angular velocity If displacement unknown If time unknown Angular vs. linear displacement Angular velocity gyroscope Acceleration Angular acceleration Displacement Angular disp. Tangential acc. Centripetal acc. Dynamics Rectilinear Motion Circular Motion Force (Newton’s 2 nd law) =dp/dt Torque Gravitational force Centripetal Force Transitional equilibrium (statics) Rotational equilibrium (statics) Static friction Kinetic friction Newton’s 3 rd law (law of action-reaction): Linear momentum =Ft Angular momentum Impulse For rigid object For system particles Cons. of momentum if Cons. of momentum if Centre of mass Moment of Inertia For particles Solid cylinder/disk I cm = 1/2 ⋅ M ⋅ R 2 Solid sphere I cm = 2/5...
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