A uniform sphere of weight W and radius 5 cm is being held by a string as shown in the figure. The tension in the string will be :

Question

A uniform sphere of weight W and radius 5 cm is being held by a string as shown in the figure. The tension in the string will be : (A) 12 (W/5) (B) 5 (W/12) (C) 13 (W/5) (D) 13 (W/12)

Tardigrade Admin · Accepted Answer

PQ = √OP2+OQ2 = √132+52 = 12 Tension in the string T, so, Tcosθ = w ⇒ T = (w/cosθ) = (13/12)W

Q. A uniform sphere of weight $W$ and radius $5 c m$ is being held by a string as shown in the figure. The tension in the string will be :

$12 \frac{W}{5}$

$5 \frac{W}{12}$

$13 \frac{W}{5}$

$13 \frac{W}{12}$

$PQ = O P^{2} + O Q^{2}$
$= 1 3^{2} + 5^{2} = 12$
Tension in the string $T$ , so, $T cos θ = w$
$\Rightarrow T = \frac{w}{cos θ} = \frac{13}{12} W$

Q. A uniform sphere of weight W and radius 5cm is being held by a string as shown in the figure. The tension in the string will be :

125W​

512W​

135W​

1312W​