First slide

Mechanical equilibrium force cases

Question

A mass of 10 kg is suspended by a rope of length 2.8 m from a ceiling. A force of 98 N is applied at the mid-point of the rope as shown in figure. The angle which the rope makes with the vertical in equilibrium is

Moderate

A

30°
B

60°
C

45°
D

80°

Solution

$Tsin θ = 98 N T \cos θ = 98 ∴ \tan θ = 1 \Rightarrow θ = 45^{\circ}$

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