CN205943214U - Index law lecture experiment appearance - Google Patents
Index law lecture experiment appearance Download PDFInfo
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- CN205943214U CN205943214U CN201620310744.8U CN201620310744U CN205943214U CN 205943214 U CN205943214 U CN 205943214U CN 201620310744 U CN201620310744 U CN 201620310744U CN 205943214 U CN205943214 U CN 205943214U
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- rope
- weight
- drawing board
- elastic threads
- support
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Abstract
The utility model discloses an index law lecture experiment appearance belongs to the mathematics physical teaching laboratory glassware of university. Provided is an useful part is measured to draw through even cylinder, heavy object, rope and elasticity rope or spring dynamometer experiment and is described the index law, demonstrates physical phenomenon to follow a problem in the aspect of the mathematics index law, and that mathematics learning person understands the index law under the physics background, understand deeply, cavity, the very enlightening reason lecture experiment appearance of counting. The low manufacturing cost of this kind, preparation are extremely simple and easy, and the effect is obvious, can increase more educational function in classroom teaching.
Description
Technical field
This utility model patent is related to demonstrate a kind of experimental apparatus of exponential law, belongs to College Maths real with physics teaching
Test instrument field.
Background technology
Often use exponential law in higher mathematics and course of University Physics, though there being publication：Application publication number is
The exponential function demonstration of CN105059022A and image plotting device, and the exponential function for CN203232609U for the Authorization Notice No.
Demonstration device, but these can not follow the tracks of actual carry out real-time physical measurement and description, such as released by higher mathematics calculus
The maximum static friction force T=T around cylinder forced-slip for the rope0eμθ=T0eμ2πn, to this patent content T0Hang for rope one end
Weight of object, it is T that the rope other end overcomes maximum static friction force, and μ, n are respectively coefficient of friction and rope is wound around the number of turn, this rule
Rule really exists？Lower university students of science and technology carry and feel uncertain, and what its exponential law is on earth, does not have parent
Can body be felt, feel mathematics cavity, learn further to bring puzzlement to student, design an experiment to solve this problem,
This patent will solve this problem.This patent is the National Nature fund project (item number presided in Zheng Yahui：
11405092), Qiqihaer City's science and technology item (item number that beam Faku County is presided over：GYGG-201423) teach with Universities of Heilongjiang Province
Educate reform in education project (item number：JG2014011091 complete under support).
List of references：
1. king's book battalion. exponential function demonstration and image plotting device [ZL] application publication number：CN105059022A, application is public
Cloth day：2015.11.18
2. open Qiu Jie etc. exponential function demonstration device [ZL] Authorization Notice No.：CN203232609U, authorized announcement date：
2013.10.09
Content of the invention
This utility model patent is to solve a kind of demonstration of the exponential form under classroom or class, passes through emphatically uniform post
The technology that body, weight, rope, elastic threads or weight beam are realized.
This utility model art solutions：A kind of exponential law demonstration test instrument, mainly by Uniform pillars, weight, rope
Son, elastic threads or weight beam, support and drawing board are constituted, it is characterized by：Uniform pillars are fixed on support, by drawing board
It is fixed on parallel with two poles of support on the base of support, described drawing board is to indicate coordinate axess with drawing grid
Flat board, horizontal axis n represent rope be wound around the number of turn, what vertical coordinate T represented be rope be subject to can make weight movement
Maximum static friction force, that is, the elongation of elastic threads or weight beam, the plate level that is carved with Uniform pillars and draws is sat
Parameter n corresponds to scale；Described weight is a counterweight, and rope is non-telescoping homogeneous material rope, and the two ends of rope are fastened respectively
Weight and elastic threads or weight beam；Make to be located at drawing board top edge place at rope and elastic threads or weight beam node
Horizontal plane in, the level that the corresponding position of (under the vertical naturalness) other end of elastic threads or weight beam is located is put down
Just well drawing board horizontal axis n in face.
During experiment, first by corresponding with rope node to elastic threads or weight beam in the corresponding level of drawing board top edge
Position, then rope is wrapped on Uniform pillars, repeats this process, respectively on Uniform pillars with drawing board horizontal coordinate
Axle n position corresponding position (n is the number of turns around cylinder for the rope), from n=0.5, n=1.5, n=2.5, n=3.5, n=4.5, successively
Measure the maximum static friction force making weight movement overcome rope and Uniform pillars, that is, elastic threads or weight beam lower end are arrived
The position reaching, and be marked on drawing board, finally can also use mapping software fit indices rule.
The usefulness of this patent, carries out experiment by Uniform pillars, weight, rope and elastic threads or weight beam and surveys
Amount drawing, to describe exponential law, is the problem that demonstration physical phenomenon follows mathematical index rule aspect, is mathematical studying
Person understands exponential law under physical background, understands deep, not empty, is eye-opening mathematics demonstration test instrument.
Brief description
Accompanying drawing is the structural representation of this utility model patent.(1) Uniform pillars, (2) weight, (3) rope, (4) elasticity
Rope or weight beam, (5) support, (6) drawing board
It is weight (2), rope (3) and elastic threads or weight beam (4) in accompanying drawing in the corresponding difference of three diverse locations
The experimental situations of the number of turn.
Specific embodiment
As accompanying drawing：A kind of exponential law demonstration test instrument, mainly by Uniform pillars (1), weight (2), rope (3), elasticity
Rope or weight beam (4), support (5) and drawing board (6) are constituted, it is characterized by：Uniform pillars (1) are fixed on support (5),
Drawing board (6) is fixed on parallel with two poles of support (5) on the base of support (5), described drawing board (6) is with painting
The flat board indicating coordinate axess of figure grid, horizontal axis n represent the number of turn that rope (3) is wound around, and what vertical coordinate T represented is rope
What son was subject to can make the maximum static friction force of weight (2) movement, that is, the elongation of elastic threads or weight beam (4),
Scale corresponding with drawing board (6) horizontal axis n is carved with Uniform pillars (1)；Described weight (2) is a counterweight, and rope (3) is
Non-telescoping homogeneous material rope, the two ends of rope (3) fasten weight (1) and elastic threads or weight beam (4) respectively；Make rope
It is located in the horizontal plane that drawing board (6) top edge is located at sub (3) and elastic threads or weight beam (4) node, elastic threads
Or the just well drawing board of horizontal plane that the corresponding position of (under the vertical naturalness) other end of weight beam (4) is located
(6) horizontal axis n.
During experiment, first by corresponding with rope (3) node to elastic threads or weight beam (4) in drawing board (6) top edge
Corresponding horizontal level, then rope (3) is wrapped on Uniform pillars (1), repeats this process, respectively in Uniform pillars
(1) upper and drawing board (6) horizontal axis n position corresponding position, from n=0.5, n=1.5, n=2.5, n=3.5, n=4.5, according to
Secondary measuring makes the mobile maximum static friction force overcoming rope (3) and Uniform pillars (1) of weight (2), that is, elastic threads or spring
The position that ergometer (4) lower end reaches, and be marked on drawing board (6).
It is weight (2), rope (3) and elastic threads or weight beam (4) in accompanying drawing in the corresponding difference of three diverse locations
The experimental situations of the number of turn, person in the art's natural energy realizes the intention of present invention design, can be to more positions pair
Implement measurement under the conditions of answering the number of turn.
Claims (1)
1. a kind of exponential law demonstration test instrument, is mainly surveyed by Uniform pillars (1), weight (2), rope (3), elastic threads or spring
Power meter (4), support (5) and drawing board (6) are constituted, it is characterized by：Uniform pillars (1) are fixed on support (5), by drawing board
(6) it is fixed on parallel with two poles of support (5) on the base of support (5), described drawing board (6) is with drawing grid
Indicate the flat board of coordinate axess, horizontal axis n represent the number of turn that rope (3) is wound around, what vertical coordinate T represented is that rope is subject to
The maximum static friction force of weight (2) movement can be made, carve corresponding with drawing board (6) horizontal axis n is carved with Uniform pillars (1)
Degree；Described weight (2) is a counterweight, and rope (3) is non-telescoping homogeneous material rope, and weight is fastened at the two ends of rope (3) respectively
Thing (1) and elastic threads or weight beam (4)；Make to be located at drawing board at rope (3) and elastic threads or weight beam (4) node
(6), in the horizontal plane that top edge is located, the level that the corresponding position of the other end of elastic threads or weight beam (4) is located is put down
Just well drawing board (6) horizontal axis n in face.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201620310744.8U CN205943214U (en) | 2016-04-07 | 2016-04-07 | Index law lecture experiment appearance |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201620310744.8U CN205943214U (en) | 2016-04-07 | 2016-04-07 | Index law lecture experiment appearance |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN205943214U true CN205943214U (en) | 2017-02-08 |
Family
ID=57933875
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201620310744.8U Expired - Fee Related CN205943214U (en) | 2016-04-07 | 2016-04-07 | Index law lecture experiment appearance |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN205943214U (en) |
-
2016
- 2016-04-07 CN CN201620310744.8U patent/CN205943214U/en not_active Expired - Fee Related
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20170208 Termination date: 20180407 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |