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Angular Velocity

Block A has...

Question

Block $A$ has a weight of $300$ $N$ and block $B$ has a weight of $50$ $N$ . Determine the distance that $A$ must descend from rest before it obtains a speed of $2.5$ $m / s$ . Neglect the mass of the cord and pulleys.

0.796m

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0.079 m

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7.9m

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0.79 cm

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Solution

The correct option is C 0.796m
$L e t a c c e l e r a t i o n o f A b e a, t h e n t h e a c c e l e r a t i o n o f B i s 2 a . F o r B 2 n d l a w o f m o t i o n i s T - 50 = 5 \times 2 a F o r A i s 300 - 2 T = 30 a s o l v i n g t h e s e t w o w e g e t, a = 4 m / s^{2} v^{2} - u^{2} = 2 a s \Rightarrow s = \frac{v^{2}}{2 a} = \frac{{2.5}^{2}}{8} = 0.796 m$

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