Experiments of point mass downfall, center of mass and mass moment of inertia

소개글

성대 진동실험 A+ 받은 레포트 입니다

목차

1. Point mass downfall
2. The center of mass and mass moment of inertia
3. Experimental methods
4. Comments

-Result & Discussion
1. point mass downfall
2. The center of mass
3. Moment of inertia

본문내용

-Preliminary report
1. Point mass downfall

A. Experimental outline

The object falling on the curvature is off-bending in a moment and goes the free-fall. In theory, calculate the falling point of object and review the results as compared to the measuring values.

B. Experimental Equipment

Materials : a mouse ball and a tapeline

Figure 2.1.1

C. Experimental methods

(1) Place the ball at the arbitrary point of A section, the ball is moved along the floor. Then, it is passed by B section and followed on C section. At last, the ball falls to the D section after the drop-off the curvature.
(2) Measure the hight, h at A section and the distance, s at D section.
(3) Repeat the experiment more than 5 times and takes average.
(4) Compare the theoretically calculated distance, s with experimental results.

D. Theoretical calculation

When a ball falls at any height h, the speed of ball at c point can be calculated from the energy conservation law.


(2.1)
If the friction energy loss is absent from the b point to c point, the speed at c point can be the same at b point. A drop-off locations on the curvature of the ball can be calculated from the below equation. In the state before off-bending of the curvature,

Figure 2.1.2


To write equations of the movement for normal direction

(2.2)

In a moment of off-bending, the vertical drag, N become 0. However, it can not solved because of one equation and two unknown quantities. Here, the energy conservation law apply to ⓒ and ⓓ.

참고 자료

진동 및 동적 시스템 실험 manual(English+version)
Mechanics of materials