08 - 2D particle kinetics - Newton's 2nd law

08 - 2D particle kinetics - Newton's 2nd law - 2D Particle...

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2D Particle Kinetics – Newton’s 2nd law 1. Identify the motion and its characteristics. 2. Draw FBD . 3. Set up proper coordinate system based on motion : a. x-y : horizontal or vertical motion b. x-y : parallel and perpendicular to an incline c. n-t : vertical circular motion d. n - y : horizontal circular motion 4. Apply Newton’s 2nd law in the components form , that is, along the coordinate axes. : : : x x yy nn tt F ma xy F ma F ma nt F ma F ma ny F ma Σ= 5. Additional information based on forces (friction force formula) and kinematics (acceleration). Example 1. A 75 Kg man standing on a 15 Kg cart exerts a 150 N force on the rope to pull himself up the smooth ramp as shown. If the angle of the incline is θ = 30˚, find the acceleration of the man. ( Ans : 0.1 m/s 2 ) θ 2. The small sphere (mass m ) is placed on the smooth inner surface of the spinning cone at a distance L from the bottom as shown. If the sphere is observed to move with the cone without sliding along the surface, find the rotating
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08 - 2D particle kinetics - Newton's 2nd law - 2D Particle...

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