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현재 위치

Required minimum speed of ball mass not to fall into a hole

작성자 Uploader : atom 작성일 Upload Date: 2018-08-08변경일 Update Date: 2018-08-09조회수 View : 325

Required minimum speed of ball mass not to fall into a hole

When a ball of diameter d is moving toward a hole of width D on a horizontal surface as shown in the figure, the center of mass of the ball, ignoring its revolution, needs to be higher than the top of hole at the opposite side in order not to fall into the hole.

Thus, the required minimum speed V not to fall into a hole is calculated as below.

With a speed of V at the beginning of the hole, the ball travels;
horizontally : Lx = D - d/2
vertically : Ly = d/2

Ly = (1/2)*g*(Lx/V)^2

V^2 = (1/2)*g*(Lx^2 / Ly)

V = ( g*(D-d/2)^2 / d )^(1/2)

*** 참고문헌[References] ***

http://ezformula.net/esne/aboard/addon.php?file=main_form_detail2.php&fcode=1112807&bgrcode=1006&mgrcode=1040&fupman=%B9%D6%B1%E2%C0%FB

v = ( g*(D-d/2)^2 / d )^(1/2)

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변수명 Variable	변수값 Value	변 수 설 명 Description of the variable

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현재 위치

Required minimum speed of ball mass not to fall into a hole

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