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3.1 vectors — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics3.1 vectors1 Mark
MCQ
A metal sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The forces acting on the sphere are shown in the second diagram. Which of the following statements is wrong
  • A
    $P = W\,\tan \theta $
  • B
    $\overrightarrow T + \overrightarrow P + \overrightarrow W = 0$
  • C
    ${T^2} = {P^2} + {W^2}$
  • ✓
    $T = P + W$
✓

Answer

Correct option: D.
$T = P + W$
d
(d) As the metal sphere is in equilibrium under the effect of three forces therefore

$\overrightarrow T + \overrightarrow P + \overrightarrow W = 0$

From the figure $T\cos \theta = W$…$(i)$

$T\sin \theta = P$…$(ii)$

From equation $(i)$ and $(ii)$ we get $P = W\,\tan \theta $ and ${T^2} = {P^2} + {W^2}$

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