大学物理LectureMotionin dimensions.ppt

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大学物理LectureMotionin dimensions

If there were no gravity, simply aim at the monkey Example: Shooting the Monkey With gravity, still aim at the monkey! Dart hits the monkey! Example: Shooting the Monkey x = x0 y = -1/2 g t2 This may be easier to think about. It’s exactly the same idea!! x = v0 t y = -1/2 g t2 Example: Shooting the Monkey CAI 3, 2, 1; (b) 1, 2, 3; (c) all tie; (d) 6, 5, 4 ACT In Figure below, a cream tangerine is thrown up past windows 1, 2, and 3, which are identical in size and regularly spaced vertically. Rank those three windows according to (a) the time the cream tangerine takes to pass them and (b) the average speed of the cream tangerine during the passage, greatest first. ???The cream tangerine then moves down past windows 4, 5, and 6, which are identical in size and irregularly spaced horizontally. Rank those three windows according to (c) the time the cream tangerine takes to pass them and (d) the average speed of the cream tangerine during the passage, greatest first. Two-kind Problems in Kinematics 1. Differential Problems Solution (a) (b) (c) When t =2 s The position of a particle moving in an xy plane is given by (SI). Calculate (a) displacement during the time interval t =1 to t =2s, (b) and when t =2s, and (c) the path equation of the moving particle. Example h x Example The figure shows a rope which hangs over a pulley and fixes its one end with a boat. The other end is pulling with constant speed u by a man who stands on a platform(height is h above the face of the lake). The length between the boat and the pulley is l 0 at the beginning. What is the velocity and acceleration of the boat at time t ? O Solution The coordinate system is given in right figure. Velocity Acceleration 2. Integral problems Initial Conditions Example Solution By using the initial condition, we have Question: If acceleration , repeat calculation above. A particle

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