Question

A uniform rod is hinged at one end to a wall and hangs through a rope attached to the other end as shown in the figure. Mass of rod is 80 kg and a carpenter of mass 60 kg is sitting at $\frac{3l}{4}$ from the hinged end. Tension in supporting rope is

• A. 1200 N
• B. 2400 N
• C. 1700 N
• D. 850 N

Answer 1

The correct option is C 1700 N

FBD is given.

For equilibrium, equating moments of forces about the hinged point:
$800\left(\frac{l}{2}\right)+600\left(\frac{3l}{4}\right)$$=Tsin30\left(l\right)$
$400+450=\frac{T}{2}$
$\frac{T}{2}=850$
$T=1700N$