Question-213043

Question Number 213043 by ajfour last updated on 29/Oct/24

Commented by ajfour last updated on 29/Oct/24

F i n d β s u c h t h a t i t r e m a i n s c o n s t a n t

w h i l e t h e m o t i o n o f f r a m e d o w n t h e

s l o p e o f i n c l i n a t i o n α .

Commented by ajfour last updated on 30/Oct/24

https://youtu.be/7k9jI2KqJwM?si=J7n1mnKOV_bVvftM

Answered by mr W last updated on 29/Oct/24

Commented by mr W last updated on 29/Oct/24

s i n c e β r e m a i n s c o n s t a n t, t h e f r a m e

h a s n o r o t a t i o n m o t i o n, t h a t m e a n s

a l l t h r e e f o r c e s a c t i n g o n t h e f r a m e

m u s t i n t e r s e c t a t t h e s a m e p o i n t,

i . e . o n i t s c e n t e r o f m a s s . t h a t m e a n s

φ = 0, o r β = α .

Commented by ajfour last updated on 29/Oct/24

m g (\frac{b}{2}) \cos (90 ° - α - φ)

= (m g \sin α) (\frac{b}{2}) \cos φ

\Rightarrow \sin (α + φ) = \sin α \cos φ

\Rightarrow \cos α \sin φ = 0

\Rightarrow φ = 0

Commented by ajfour last updated on 29/Oct/24

m u s t b e s o, t h a n k y o u s i r .

Commented by mr W last updated on 31/Oct/24

t h a n k s f o r c o n f i r m i n g s i r!

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