Sum
Consider the situation shown in the following figure All the surfaces are frictionless and the string and the pulley are light. Find the magnitude of acceleration of the two blocks.
Advertisement Remove all ads
Solution
Mass of each block is 1 kg, \[\sin \theta_1 = \frac{4}{5}\]
\[\sin \theta_2 = \frac{3}{5}\]
The free-body diagrams for both the boxes are shown below:
mgsinθ1 − T = ma ...(i)
T − mgsinθ2 = ma ...(ii)
Adding equations (i) and (ii),we get:
mg(sinθ1 − sinθ2) = 2ma
⇒ 2a = g (sinθ1 − sinθ2)
\[\Rightarrow a = \frac{g}{5} \times \frac{1}{2}\]
\[ = \frac{g}{10}\]
Concept: Newton’s Second Law of Motion
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads