Lecture06

Lecture06 - Lecture 6 Purdue University Physics 220 1...

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Unformatted text preview: Lecture 6 Purdue University, Physics 220 1 Lecture 06 Two Dimensional Dynamics Textbook Sections 4.4 PHYSICS 220 Lecture 6 Purdue University, Physics 220 2 Overview • Last Lecture – Free Fall – Air Drag – Apparent Weight • Today – Brief Review Lecture 6 Purdue University, Physics 220 2 Overview • Last Lecture – Free Fall – Air Drag – Apparent Weight • Today – Brief Review – Dynamics in 2 D Lecture 6 Purdue University, Physics 220 3 Brief Review • Equilibrium • Kinematics • Dynamics Extend to 2-D Lecture 6 Purdue University, Physics 220 4 y x 2-Dimensions • X and Y are INDEPENDENT! • Break 2-D problem into two 1-D problems Lecture 6 Purdue University, Physics 220 5 Equilibrium Determine the tension in the 6 meter rope if it sags 0.12 m in the center when a gymnast with weight 250 N is standing on it. x-direction: Σ F = m a-T L cos θ + T R cos θ = 0 T L = T R 3 m .12 m θ y-direction: Σ F = m a T L sin θ + T R sin θ- W = 0 2 T sin θ = W T = W/(2 sin θ ) = 3115 Ν y x Lecture 6 Purdue University, Physics 220 6 x-direction y-direction Position, Velocity and Acceleration • Position, Velocity and Acceleration are Vectors! • x and y directions are INDEPENDENT! Lecture 6 Purdue University, Physics 220 7 Velocity in Two Dimensions 5 m/s 3 m/s A ball is rolling on a horizontal surface at 5 m/s. It then rolls up a ramp at a 25 degree angle. After 0.5 seconds, the ball has slowed to 3 m/s. What is the magnitude of the change in velocity? y x x-direction v ix = 5 m/s v fx = 3 m/s cos(25) Δ v x = 3cos(25)–5 =-2.28m/s y-direction v iy = 0 m/s v fy = 3 m/s sin(25) Δ v y = 3sin(25)=+1.27 m/s Lecture 6 Purdue University, Physics 220 8 Acceleration in Two Dimensions A ball is rolling on a horizontal surface at 5 m/s. It then rollsA ball is rolling on a horizontal surface at 5 m/s....
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This note was uploaded on 09/17/2010 for the course PHYS 220 taught by Professor Chang during the Spring '09 term at Purdue.

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Lecture06 - Lecture 6 Purdue University Physics 220 1...

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