In-the-following-cases-find-out-the-acceleration-of-the-wedge-and-the-block-if-an-external-force-F-is-applied-as-shown-Both-pulleys-and-strings-are-ideal-

Question Number 20035 by Tinkutara last updated on 20/Aug/17

In the following cases, find out the

acceleration of the wedge and the block,

if an external force F is applied as

shown . (Both pulleys and strings are

ideal)

Commented by Tinkutara last updated on 20/Aug/17

Answered by ajfour last updated on 21/Aug/17

l e t A b e a c c e l e r a t i o n o f w e d g e,

a n d a a c c e l e e a t i o n o f b l o c k .

T e n s i o n i n (l i g h t) s t r i n g = F

C a s e I I :

F - F \cos θ = M A

\Rightarrow A = \frac{F (1 - \cos θ)}{M}

- F = m a \Rightarrow a = - \frac{F}{m}

∣ a ∣= \frac{F}{m} t o w a r d s l e f t f o r a l l c a s e s .

C a s e I : θ = 0 ° s o A = 0

C a s e I I I : θ = 90 ° s o A = \frac{F}{M} .

Commented by Tinkutara last updated on 21/Aug/17

Thank you very much Sir!