Question-53881

Question Number 53881 by ajfour last updated on 26/Jan/19

Commented by ajfour last updated on 26/Jan/19

I f θ (0) = θ_{0}, f i n d x (θ) a n d i f p o s s i b l e

θ (t) . I s t h e r e a n x_{m a x} ?

Commented by tanmay.chaudhury50@gmail.com last updated on 27/Jan/19

w h e n t i m e i s t p o s i t i o n o f r o d a s s h o w n [a s d o t t e d

1) h e r e T o r q u e i s v a r i a b l e a s m m a s s m o v e

2) T o r q u e a t t i m e t i s

M g \frac{L}{2} c o s θ (t) + m g (L - x (θ) c o s θ (t) = \frac{d}{d t} (I w)

R i g h t h a n d s i d e = w \frac{d}{d t} [\frac{{M L}^{2}}{3} + m {{(L - x (θ)}}^{2}] + [\frac{{M L}^{2}}{3} + m {{(L - x (θ)}}^{2}] α

= w {2 m (L - x) \frac{d x}{d t}} + [M \frac{L^{2}}{3} + m {(L - x)}^{2}] \frac{d w}{d t}

c o n t i n u e \dots