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"Extended Course: Light Rope and Light Rod Model of Circular Movement in Vertical Plane" Circular Movement PPT High-Quality Courseware
Knowledge expansion
Expansion point 1: Light rope model of circular motion in the vertical plane
1. Model Overview
Circular motion in a vertical plane without supports (such as a ball connected to a rope, a "roller coaster" moving along an inner track, etc.) is called a "light rope model".
2. Model features
[Examination Cases]
Example 1 The distance from the center of gravity to the axis of rotation is l = 50 cm. (g is taken as 10 m/s2)
(1) If water does not flow out at the highest point, find the minimum speed of the bucket;
(2) If the speed of the bucket at the highest point is v = 3 m/s, find the pressure of the water on the bottom of the bucket.
Analysis: Take the bucket and the water in the bucket as the research objects respectively, conduct force analysis on them, find out the source of the centripetal force required for their circular motion, and establish equations to solve according to Newton's law of motion.
Expansion point 2: Light rod model of circular motion in vertical plane
1. Model Overview
The circular motion in the vertical plane with supports (such as the connection between the ball and the rod, the movement of the ball in the bent tube, etc.) is called the "light rod model".
2. Model features
Summary of methods: Basic ideas for solving circular motion problems in vertical planes
First, we must distinguish whether it is a rope model or a rod model, and secondly, clarify the critical conditions for the two models to reach the highest point. In addition, the direction of the elastic force when the rod constrains the object to move to the highest point can be assumed first, and then the actual direction is determined based on the positive or negative of the calculation result.
[For Training 2] As shown in the figure, a tube with a mass of 2m and a smooth inner wall is bent into a circular orbit and placed vertically. A small ball with a mass of m rolls in the tube. When the ball reaches the highest point, When , the tube is just about to leave the ground. What is the speed of the ball at this time? (The orbital radius is R, and the gravity acceleration is g)
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For more information about the PPT courseware "Light Rope and Light Rod Model of Vertical and In-Plane Circular Motion in Circular Motion" PPT courseware, please click on the PPT tag of Circular Motion PPT and Light Rope and Light Rod Model of Vertical and In-Plane Circular Motion.