CN102012716A - Multifunctional vector arithmetic unit - Google Patents
Multifunctional vector arithmetic unit Download PDFInfo
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- CN102012716A CN102012716A CN 201010549327 CN201010549327A CN102012716A CN 102012716 A CN102012716 A CN 102012716A CN 201010549327 CN201010549327 CN 201010549327 CN 201010549327 A CN201010549327 A CN 201010549327A CN 102012716 A CN102012716 A CN 102012716A
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- hypotenuse
- hollow bar
- scale
- vector calculus
- functional vector
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Abstract
The invention discloses a multifunctional vector arithmetic unit capable of directly solving the size and direction of a vector to be measured. The multifunctional vector arithmetic unit comprises four measuring sides which are hinged end to end to form a quadrilateral; a group of opposite angles of the quadrilateral are hinged with a hypotenuse; scale marks and scale numbers are arranged on the measuring sides and the hypotenuse; the measuring sides and the hypotenuse are all telescopic rods; and a protractor is arranged at one end of the hypotenuse. During synthesis and decomposition operation of the vector, the measuring sides and the hypotenuse are adjusted to form a corresponding parallelogram according to the known conditions, so that the size and direction of the vector to be measured can be read directly from the scale numbers of the measuring sides and the hypotenuse. The multifunctional vector arithmetic unit is simple in operation, convenient in calculation and clear and visual in expression way, is very suitable to be used as a teaching tool and facilitates the understanding and learning of beginners.
Description
Technical field
The present invention relates to a kind of stationery, be specifically related to a kind of multi-functional vector calculus device that compute vectors is synthetic or decompose that is used for.
Background technology
The calculating of vector is one of required course of modern student, synthetic and resolution problem for vector, the size and Orientation of compute vectors under the situation of non-special angle, will measure the relative angle of two vectors earlier, carry out computing with the cosine law again, computing is cumbersome, and for the beginner, with the synthetic and decomposition of parallelogram rule compute vectors, express intuitively inadequately, lively on paper, make the people understand slowly.
Summary of the invention
Problem to be solved by this invention is at the deficiency of above-mentioned technology, to design a kind of multi-functional vector calculus device that can directly obtain vector size and Orientation to be measured.
The technical scheme that the present invention is adopted for its problem of solution is: a kind of multi-functional vector calculus device, comprise the be hinged measurement limit of quadrangularly of four head and the tail, tetragonally wherein be hinged with hypotenuse on one group of diagonal angle, measure limit and hypotenuse and be provided with scale mark and scale numeral, measure limit and hypotenuse and be expansion link, be provided with protractor at an end of hypotenuse.
In the present invention, described expansion link is made up of some hollow bar, and a back hollow bar is inserted in last the hollow bar, and hollow bar is provided with scale mark and scale numeral.
In the present invention, the scale numeral that is positioned at top hollow bar is along the ascending arrangement of its flexible direction, the orientation that is positioned at the scale numeral on the hollow bar thereafter is with top opposite, and the initial value of the scale numeral of the hollow bar of back is the maximal value of last hollow bar.
In the present invention, adjacent two hollow bar are fixed by bolt.
In the present invention, at least one angle of described quadrilateral is provided with the handle of outside protrusion.
In the present invention, two adjacent with handle ends of measuring the limit are respectively equipped with compass foot and pencil.
In the present invention, the hinged place on described adjacent measurement limit is provided with through hole, and protractor inserts in the through hole by rotating shaft.
The invention has the beneficial effects as follows: when vector being synthesized with decomposition operation, to measure the limit and hypotenuse is adjusted to corresponding parallelogram according to known conditions, just can on the scale numeral of measuring limit and hypotenuse, directly read the size and Orientation of waiting to ask vector, simple to operate, convenience of calculation, and its expression way is clear and definite, directly perceived, be suitable as very much teaching display-tool with sticking plastic, make things convenient for the beginner to understand and learn.
Description of drawings
The invention will be further described below in conjunction with drawings and Examples:
Fig. 1 is a front view of the present invention;
Fig. 2 is a rear view of the present invention;
Fig. 3 measures the scale mark and the scale numeral on limit for the present invention.
Embodiment
With reference to accompanying drawing 1 to Fig. 3, a kind of multi-functional vector calculus device that can directly obtain vector size and Orientation to be measured provided by the present invention, comprise the be hinged measurement limit 11,12,13,14 of quadrangularly of four head and the tail, tetragonally wherein be hinged with hypotenuse 2 on one group of diagonal angle, measure limit 11,12,13,14 and hypotenuse 2 and be provided with scale mark and scale numeral, measure limit 11,12,13,14 and hypotenuse 2 and be expansion link, be provided with protractor 3 at an end of hypotenuse 2.
As preferred embodiment, described expansion link is made up of some hollow bar, the hollow bar in back is inserted in last the hollow bar, hollow bar is provided with scale mark and scale numeral, the scale numeral that is positioned at top hollow bar is along the ascending arrangement of its flexible direction, the orientation that is positioned at the scale numeral on the hollow bar thereafter is with top opposite, and the initial value of the scale numeral of the hollow bar of back is the maximal value of last hollow bar.When using like this, the numeral that is read is the numeral of the last item hollow bar and last hollow bar intersection.
In the present embodiment, described adjacent two hollow bar are fixing by bolt 4, when expansion link be stretched to need apart from the time, just make it to fix and be maintained fixed length with bolt 4.Operation for convenience and using, at least one angle of quadrilateral is provided with the handle 5 of outside protrusion, and handle 5 is located on the extended line of hypotenuse 2, like this by handle 5 traverse measurement limit 11,12,13,14 and hypotenuse 2 better.
Further, adjacent with handle 5 two ends of measuring limits are respectively equipped with compass foot 6 and pencil 7, and the hinged place on adjacent measurement limit is provided with through hole 8, and protractor 3 inserts in the through hole 8 by rotating shaft.Make whole vector calculus utensil that more function is arranged like this, with hypotenuse 2 with compass foot 6 is not installed or the measurement limit of pencil 7 disassembles, the vector calculus device can be converted to compasses and use, achieve many things at one stroke.
Principle of work of the present invention: with the example that synthesizes of vector, suppose to have two power F1=60N, F2=80N, its angle is 80 °, earlier will with protractor 3 adjacent two measure limits 11,14 maximum scale is adjusted to the scale place of 60mm and 80mm respectively, tighten its bolt 4 behind again, the zero point of protractor 3 is as the acting in conjunction point of two power and make zero graduation line on the protractor 3 over against the axial line of measuring limit 11 then, regulate another measurement limit 14 again and make its axial line over against protractor 800 scale marks, the angle of these two axial lines is exactly F1, the angle of F2.The effective length that to measure limit 13,12 at last respectively is adjusted to 60mm and 80mm, so just can directly read the size of making a concerted effort from hypotenuse 2, reads the size of its angle from protractor 3.
If there is the size of a power to exceed the corresponding measurement limit or the effective length of hypotenuse 2 among three measured power, can enlarges according to a certain percentage or dwindle and calculate.For example, in last example, if F1=600N, F2=800N can represent 10N with 1mm.Like this, the effective length of measuring limit 11,14 is transferred to 60mm and 80mm has just represented 600N and 800N respectively, be converted to size with joint efforts with same ratio again after reading the line segment length of hypotenuse 2.
Certainly, the present invention is except above-mentioned embodiment, and other equivalent technical solutions also should be within its protection domain.
Claims (7)
1. multi-functional vector calculus device, it is characterized in that: comprise the be hinged measurement limit (11,12,13,14) of quadrangularly of four head and the tail, tetragonally wherein be hinged with hypotenuse (2) on one group of diagonal angle, measure limit (11,12,13,14) and hypotenuse (2) and be provided with scale mark and scale numeral, measure limit (11,12,13,14) and hypotenuse (2) and be expansion link, be provided with protractor (3) at an end of hypotenuse (2).
2. according to the described a kind of multi-functional vector calculus device of claim, it is characterized in that: described expansion link is made up of some hollow bar, and a back hollow bar is inserted in last the hollow bar, and hollow bar is provided with scale mark and scale numeral.
3. a kind of multi-functional vector calculus device according to claim 2, it is characterized in that: the scale numeral that is positioned at top hollow bar is along the ascending arrangement of its flexible direction, the orientation that is positioned at the scale numeral on the hollow bar thereafter is with top opposite, and the initial value of the scale numeral of the hollow bar of back is the maximal value of last hollow bar.
4. a kind of multi-functional vector calculus device according to claim 2 is characterized in that: adjacent two hollow bar are fixing by bolt (4).
5. a kind of multi-functional vector calculus device according to claim 1 is characterized in that: at least one angle of described quadrilateral is provided with the handle (5) of outside protrusion.
6. a kind of multi-functional vector calculus device according to claim 5 is characterized in that: two ends of measuring the limit of adjacent with handle (5) are respectively equipped with compass foot (6) and pencil (7).
7. a kind of multi-functional vector calculus device according to claim 1 is characterized in that: the hinged place on described adjacent measurement limit is provided with through hole (8), and protractor (3) inserts in the through hole (8) by rotating shaft.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201010549327 CN102012716A (en) | 2010-11-18 | 2010-11-18 | Multifunctional vector arithmetic unit |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201010549327 CN102012716A (en) | 2010-11-18 | 2010-11-18 | Multifunctional vector arithmetic unit |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN102012716A true CN102012716A (en) | 2011-04-13 |
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Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 201010549327 Pending CN102012716A (en) | 2010-11-18 | 2010-11-18 | Multifunctional vector arithmetic unit |
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| CN (1) | CN102012716A (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102723021A (en) * | 2012-07-10 | 2012-10-10 | 程林 | Multifunctional movable space geometry analytical model |
| KR20200007357A (en) * | 2018-07-13 | 2020-01-22 | 이우상 | Resultant force display device |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN85201822U (en) * | 1985-05-10 | 1986-03-05 | 新乡市第二十八中学 | Demonstrator for demonstrating the parallelogram law of vector |
| CN2189769Y (en) * | 1994-01-26 | 1995-02-15 | 柳星 | Multifunctional vector composition and decomposition demonstrator |
| CN2577369Y (en) * | 2002-11-08 | 2003-10-01 | 朱淑峰 | Force composition and decomposition demonstrating instrument |
| CN2590092Y (en) * | 2002-12-17 | 2003-12-03 | 吴会明 | Audio-visual parallelogram demonstrating model |
| CN2776700Y (en) * | 2005-02-05 | 2006-05-03 | 刘翔 | Multifunction gauge |
| CN101388153A (en) * | 2008-10-20 | 2009-03-18 | 曹莹莹 | Demonstration instrument for physical mathematics teaching |
-
2010
- 2010-11-18 CN CN 201010549327 patent/CN102012716A/en active Pending
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN85201822U (en) * | 1985-05-10 | 1986-03-05 | 新乡市第二十八中学 | Demonstrator for demonstrating the parallelogram law of vector |
| CN2189769Y (en) * | 1994-01-26 | 1995-02-15 | 柳星 | Multifunctional vector composition and decomposition demonstrator |
| CN2577369Y (en) * | 2002-11-08 | 2003-10-01 | 朱淑峰 | Force composition and decomposition demonstrating instrument |
| CN2590092Y (en) * | 2002-12-17 | 2003-12-03 | 吴会明 | Audio-visual parallelogram demonstrating model |
| CN2776700Y (en) * | 2005-02-05 | 2006-05-03 | 刘翔 | Multifunction gauge |
| CN101388153A (en) * | 2008-10-20 | 2009-03-18 | 曹莹莹 | Demonstration instrument for physical mathematics teaching |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102723021A (en) * | 2012-07-10 | 2012-10-10 | 程林 | Multifunctional movable space geometry analytical model |
| CN102723021B (en) * | 2012-07-10 | 2014-04-09 | 程林 | Multifunctional movable space geometry analytical model |
| KR20200007357A (en) * | 2018-07-13 | 2020-01-22 | 이우상 | Resultant force display device |
| KR102139290B1 (en) * | 2018-07-13 | 2020-07-29 | 이우상 | Resultant force display device |
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Application publication date: 20110413 |