Determination of the speed of the assembly cartridge using a ballistic spin pendulum
Purpose of work:study of the laws of preservation by the example of a ballistic spinning pendulum.
Instruments and accessories: Ballistic sparkling pendulum, set of mounting cartridges, block millisecondomer.
Description of the experimental installation
General form The ballistic pendulum is shown in the picture. Base 1 Equipped with adjustable legs 2 allowing to align the device. Based on the column 3 on which the upper 4 , Nizhny 5 Middle 6 Brackets. A firing device is attached to the middle bracket. 7 , as well as a transparent screen, with an angular scale applied to it 8 and photoelectric sensor 9 . Brackets 4 and 5 have clamps for fastening steel wire 10 which is suspended pendulum consisting of two bowls filled with plasticine 11 , two moved goods 12 , two rods 13 , rod 14 .
Procedure for performing work
1. After removing the transparent screen, set the cargo at the distance R1 from the axis of rotation.
3. Attach the cartridge in the spring device.
4. Push the cartridge from the spring device.
6. Include a time counter (on the panel, the meter indicators are displayed "0").
7. Delete the pendulum to the angle φ1, and then let it.
8. Press the "Stop" button when the counter shows nine oscillations, record the time of ten complete oscillations T1. Calculate the period of oscillations T1. The data to be taken to Table No. 1, paragraphs 7.8 repeat four more times.
9. Set cargo at a distance R2. Perform paragraphs 2-8 for R2 distances.
10. Calculate the speed for five dimensions by the formula:
11. Estimate the absolute error of calculating the speed to the analysis of the five values \u200b\u200bof the speed (Table No. 1).
r \u003d 0.12 m, m \u003d 3.5 g, m \u003d 0.193 kg.
Table №1
| Obvious number | R1 \u003d 0.09 m | R2 \u003d 0.02 m | |||||||
| Φ1. | T1. | T1. | Φ2. | T2. | T2. | V. | |||
| Grad. | glad. | from | Grad. | glad. | from | M / S. | |||
| 1. | |||||||||
| 2. | |||||||||
| 3. | |||||||||
| 4. | |||||||||
| 5. |
Calculated part
Control questions
Word the law of preserving the moment of momentum.
The moment of the momentum of the "Patron-pendulum" system relative to the axis is preserved:
Word energy conservation law.
When the pendulum oscillations, the kinetic energy of the rotational motion of the system turns into a potential elastic-deformed wire when cutting:
Write a solid equation around the fixed axis
4. What is a twist pendulum and how is it determined by the period of its oscillations?
The twist pendulum is a massive steel rod, rigidly attached to vertical wire. At the ends of the rod, bowls with plasticine are fixed, which allows the cartridge to "stick" to the pendulum. Also on the rod there are two identical cargo, which can move along the rod relative to its axis of rotation. This makes it possible to change the moment of inertia of the pendulum. With a pendulum, the "Driver" is rigidly fixed, allowing the photoelectric sensors to count the number of its complete oscillations.Cutyl oscillations are due to the elastic forces arising in the wire when it takes. At the same time, the period of oscillations of the pendulum:
5. How can I determine the speed of the mounting cartridge in this paper?
1.AB \u003d 2J-3J.1) Find the coordinates of points A, if b (-1; 4) .2) Look for the coordinates of the middle of the cut AB.3) Write the equation direct AB.2. DotsA (-3; 4), B (2; 1), C (-1; a). It is known that Av \u003d Sun. Include A.3.Radius Circularness is 6. Circular Center belongs to axis OH and has a positive abscise. Circle passes Claver Point (5; 0). Equate the circle equation. 4.Tector and is co-directed with a vector B (-1; 2) and has the length of the vector C (-3; 4). Include the coordinates of the vector A. Urrowelv, please help!)
vector A (5; - 9). The answer must be 2x - 3ow \u003d 38.
2. With parallel transfer point A (4: 3) proceeds to point A1 (5; 4). Write the equation of the curve into which Parabolal y \u003d x ^ 2 (I mean x in the square) - 3x +1 with such a movement. The answer should be: x ^ 2 - 5x +6.
Help please with questions on geometry (grade 9)! 1) Formulate and prove the lemma about the collinear vectors. 2) What does it mean to decompose the vector on twoaccording to these vectors. 3) Word and prove the theorem on the decomposition of the vector along two non -ollinar vectors. 4) Explain how the rectangular coordinate system is entered. 5) What are the coordinate vectors? 6) Word and prove the approval of the decomposition of an arbitrary vector by coordinate vectors. 7) What is the coordinates of the vector? 8) Word and prove the rules for finding the coordinates of the sum and difference of vectors, as well as the works of the vector by the number according to the specified coordinates of vectors.9) What is the radius-vector point? Prove that the coordinates of the point are equal to the corresponding coordinates of the vectors. 10) Output formulas to calculate the vector coordinates along the coordinates of its beginning and end. 11) Output formulas to calculate the vector coordinates by coordinates of its ends. 12) Output the formula to calculate the vector length by its coordinates. 13) Display the formula to calculate the distance between the two points according to their coordinates. 14) Give an example of solving a geometric problem using the coordinate method. 15) What equation is called the equation of this line? Give an example. 16) Display the circle equation of this radius with the center at this point. 17) Write the equation of the circumference of this radius with the center at the beginning of the coordinates. 18) Output the equation of this direct in the rectangular coordinate system. 19) Write the equation of direct passing through this point M0 (X0: Y0) and parallel axes of coordinates. 20) Write the equation of coordinate axes. 21) Give examples of using the circle equations and direct when solving geometric tasks.
1) Formulate and prove the lemma about the collinear vectors.2) What does it mean to decompose the vector along two data vectors.
3) Word and prove the theorem on the decomposition of the vector along two non -ollinar vectors.
4) Explain how the rectangular coordinate system is entered.
5) What are the coordinate vectors?
6) Word and prove the approval of the decomposition of an arbitrary vector by coordinate vectors.
7) What is the coordinates of the vector?
8) Word and prove the rules for finding the coordinates of the sum and difference of vectors, as well as the works of the vector by the number according to the specified coordinates of the vectors.
9) What is the radius-vector point? Prove that the coordinates of the point are equal to the corresponding coordinates of the vectors.
10) Output formulas to calculate the vector coordinates along the coordinates of its beginning and end.
11) Output formulas to calculate the vector coordinates by coordinates of its ends.
12) Output the formula to calculate the vector length by its coordinates.
13) Display the formula to calculate the distance between the two points according to their coordinates.
14) Give an example of solving a geometric problem using the coordinate method.
15) What equation is called the equation of this line? Give an example.
16) Display the circle equation of this radius with the center at this point.
17) Write the equation of the circumference of this radius with the center at the beginning of the coordinates.
18) Output the equation of this direct in the rectangular coordinate system.
19) Write the equation of direct passing through this point M0 (X0: Y0) and parallel axes of coordinates.
20) Write the equation of coordinate axes.
21) Give examples of using the circle equations and direct when solving geometric tasks.
Please really need! Preferably with drawings (where necessary)!
This article is part of the theme equation direct on the plane. Here we will understand from all sides: Let's start with the proof of the theorem, which sets the type of the general equation to the line, then consider the incomplete general equation to the line, we present examples of incomplete equations of a straight line with graphic illustrations, in conclusion we will focus on the transition from the general direct direct equation to other types of equation of this direct And we present detailed solutions to the characteristic tasks for the compilation of the general direct equation.
Navigating page.
General equation direct - basic information.
We will analyze this algorithm when solving an example.
Example.
Write parametric equations direct, which is given by the general equation direct 
.
Decision.
First we give the original general equation direct to the canonical equation direct:
Now we accept the left and right parts of the equation obtained equal to the parameter. Have 
Answer:
From the general equation of direct species to obtain the equation direct with the angular coefficient is possible only when. What needs to be done to go? First, in the left general equation, the straight line only the term, the rest of the components need to be transferred to the right side with the opposite sign: 
. Secondly, divide both parts of the equality obtained by the number B, which is varied from zero, 
. And that's it.
Example.
Direct in the rectangular coordinate system Oxy sets the general equation direct. Get the equation to this straight line with an angular coefficient.
Decision.
We will carry out the necessary actions :.
Answer:
When direct is defined by a complete common equation, then it is easy to obtain the equation straight in the segments of the species. To do this, we transfer the number C into the right-hand part of equality with the opposite sign, we divide both parts of the equality obtained by -C, and in the conclusion are transferred to denominators of the coefficients with variables x and y: 