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Motion in a Straight Line — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsMotion in a Straight Line1 Mark
MCQ
In the arrangement shown in figure, the ends $P$ and $Q$ of an inextensible string move downwards with uniform speed $u$. Pulleys $A$ and $B$ are fixed. The mass $M$ moves upwards with a speed:
  • A
    $2\text{u}\cos\theta$
  • ✓
    $\frac{\text{u}}{\cos\theta}$
  • C
    $\frac{\text{2u}}{\cos\theta}$
  • D
    $\text{u}\cos\theta$
✓

Answer

Correct option: B.
$\frac{\text{u}}{\cos\theta}$

Along the string, the velocity of each object is the same.
$2\text{v}\cos(\theta)=2\text{u}$
$\text{v}=\frac{\text{u}}{\cos(\theta)}$

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