Two parts of a sailing boat are the mast and the boom. The mast is a vertical rigid beam and the boom is a horizontal rigid beam. One end of the boom is attached to the mast by a pivot. The other end of the boom is connected to the mast by a rope, as shown.
The rope is at an angle of $40^\circ$ to the horizontal and exerts a tension force $T$ on the boom. The weight of the boom is $200 N$. The mass of the boom is uniformly distributed along its length. The boom is in equilibrium.
What is the magnitude of $T$?
1 )
$130 N$
$160 N$
3 )
$260 N$
4 )
$310 N$
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