A-wedge-has-two-equally-rough-faces-each-inclined-at-30-to-the-horizontal-Masses-of-5kg-and-2kg-one-on-each-face-are-connected-by-a-light-string-passing-over-a-smooth-pulley-at-the-top-of-the-wedge-

Question Number 22893 by NECx last updated on 23/Oct/17

A w e d g e h a s t w o e q u a l l y r o u g h

f a c e s e a c h i n c l i n e d a t 30 ° t o t h e

h o r i z o n t a l . M a s s e s o f 5 k g a n d 2 k g

, o n e o n e a c h f a c e, a r e c o n n e c t e d

b y a l i g h t s t r i n g p a s s i n g o v e r a

s m o o t h p u l l e y a t t h e t o p o f t h e

w e d g e . T h e c o e f f i c i e n t o f f r i c t i o n

μ, b e t w e e n e a c h m a s s e s a n d t h e

s u r f a c e o f t h e w e d g e i s 0.2 . F i n d

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

w h e n t h e y a r e r e l e a s e d .

Answered by ajfour last updated on 23/Oct/17

a = \frac{(M - m) g \sin 30 ° - μ g \cos 30 ° (M + m)}{M + m}

= \frac{15 - 7 \sqrt{3}}{7} m / s^{2}

\Rightarrow a \approx (2.143 - 1.732) m / s^{2}

\approx 0.4 m / s^{2}

Commented by NECx last updated on 23/Oct/17

t h a n k z s i r \dots . . p l e a s e c a n i t b e

e x p l a i n e d w i t h a d i a g r a m . I^{'} l l

a p p r e c i a t e t h a t . T h a n k s i n a d v a n c e .

Commented by NECx last updated on 23/Oct/17

t h a n k s s i r

Commented by ajfour last updated on 23/Oct/17

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