First slide

Mechanical equilibrium force cases

Question

A sphere of radius 25 cm and mass 1 kg is hung by a string of negligible mass and length 40 cm, then tension in the string is :

Moderate

A

10.81 N
B

18.4 N
C

10 N
D

8N

Solution

$\begin{array}{l} T = \frac{mg}{\cos θ} = \frac{mg (l + R)}{\sqrt{(l + R)^{2} - R^{2}}} \\ = \frac{1 \times 10 \times 65 \times 10^{- 2}}{\sqrt{[(65)^{2} - (25)^{2}] \times 10^{- 4}}} = 10 .81 N \end{array}$

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