Question

A mass of $6 \,kg$ is suspended by a rope of length $2\, m$ from a ceiling. A force of $50 \,N$ in the horizontal direction is applied at the mid-point of the rope. The angle made by the rope with the vertical, in equilibrium is

• A. $50{}^\circ$
• B. $60{}^\circ$
• C. $30{}^\circ$
• D. $40{}^\circ$

Answer 1

Answer: (D)

$40{}^\circ$

Answer 2

$\tan \theta =\frac{50}{6g}=0.83$ or $tan\text{ }\theta =tan\text{ }40{}^\circ$ or $\theta =40{}^\circ$