Math Question and Answers


Question and Answers Forum

All Questions Topic List
Logic Questions
Previous in All Question Next in All Question
Previous in Logic Next in Logic
Question Number 22872 by Physics lover last updated on 23/Oct/17

Commented by ajfour last updated on 23/Oct/17

Commented by ajfour last updated on 24/Oct/17

$I_{d i s c} = \frac{{M R}^{2}}{2}$ $\Rightarrow M = \frac{2 I}{R^{2}} = \frac{2 \times 0.16}{(1 / 25)} k g = 8 k g$ $T h e a c c . o f r o p e o n l e f t o f d i s c$ $i s = a = \frac{a}{2} + α R$ $\Rightarrow α R = \frac{a}{2} . . . . (i)$ $T_{2} - m g = m a . . . (i i)$ $(T_{1} - T_{2}) R = I α . . . (i i i)$ $M g - T_{1} - T_{2} = \frac{M a}{2} . . . (i v)$ $F r o m (i i i) :$ $\Rightarrow T_{1} = T_{2} + \frac{I α R}{R^{2}} = T_{2} + \frac{I a}{2 R^{2}}$ $f r o m (i v) :$ $M g - T_{2} - T_{2} - \frac{I a}{2 R^{2}} = \frac{M a}{2}$ $\Rightarrow M g - 2 m g - 2 m a - \frac{I a}{2 R^{2}} = \frac{M a}{2}$ $\Rightarrow a = \frac{(M - 2 m) g}{(\frac{M}{2} + 2 m + \frac{I}{2 R^{2}})}$ $= \frac{(8 - 2) (10)}{(4 + 2 + 2)} m / s^{2} = \frac{15}{2} m / s^{2}$ $\Rightarrow \frac{30}{x} = \frac{15}{2} o r x = 4 .$
Commented by Physics lover last updated on 24/Oct/17

$b u t t h e a n s w e r g i v e n i s 4 .$ $? ? ?$
Commented by Physics lover last updated on 24/Oct/17

$i h a v g o t i t . A n y w a y s, t h a n k y o u s i r .$ $W i t h o u t u r h i n t s i c u d n t h a v s o l v e d$ $i t .$
	Answered by Physics lover last updated on 24/Oct/17

	$T r a n s l a t i o n :$ $T_{2} = 1 (a + g) . . . i$ $&$ $8 g - T_{1} - T_{2} = 8 (\frac{a}{2})$ $\Rightarrow T_{1} = 7 g - 5 a . . . i i$ $R o t a t i o n :$ $T_{1} R - T_{2} R = I α$ $\Rightarrow T_{1} R^{2} - T_{2} R^{2} = I α R = I (\frac{a}{2})$ $\Rightarrow T_{1} - T_{2} = 2 a . . . i i i$ $s u b s t i t u t i n g T_{2} f r o m e q . . . i$ $a n d T_{1} f r o m e q . . . i i i n e q . . . i i i$ $\Rightarrow 7 g - 5 a - a - g = 2 a$ $\Rightarrow \frac{6 g}{8} = a = \frac{6 (10)}{8} = \frac{30}{4}$ $\Rightarrow x = 4$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum