Classical Mechanics 8.01 MIT/edX Edition by Peter Dourmashkin

By Peter Dourmashkin

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Time Graph .............................. 2 Displacement: Area Under the Velocity vs. Time Graph ............................. 3 Accelerating Car ............................................................................... 4 Catching a Bus .................................................................................. 6 One Dimensional Kinematics Non-Constant Acceleration ............................... 1 Change of Velocity as the Integral of Non-constant Acceleration ............. 2 Integral of Velocity ............................................................................................

10) ! (10) Vector Addition: Let A and B be two vectors in the x-y plane. Let ! A and ! B ! denote the angles that the vectors A and B make (in the counterclockwise direction) with the positive x -axis. Then ! A = Acos(! A ) ˆi + Asin(! A ) ˆj , ! B = Bcos(! B ) ˆi + Bsin(! 12) ! ! 15, the vector addition C = A + B is shown. Let ! C denote the angle that the ! vector C makes with the positive x-axis. 15 Vector addition with using components. 3-12 ! Then the components of C are Cx = Ax + Bx , C y = Ay + By .

1 Cartesian Coordinates ..................................................................................... 3 Application of Vectors ............................................................................................ 1 Vector Addition ................................................................................. 2 Sinking Sailboat ................................................................................ 3 Vector Description of a Point on a Line ..........................................

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