Answer to Question #215296 in Physics for Sera

Question

A rigid uniform bar is pivoted (or hinged at its lower end on a wall and makes an angle of 30o with the vertical. To the upper end of the bar is attached a horizontal rope whose other end is attached to the wall. A load of 2000 N is hung from the upper end of the bar. If the bar is 6.6 m long and has weight of 1500 N, find (a) the tension in the rope and (b) the vertical and horizontal force exerted by the wall on the pivot at the lower end of the bar.

Answer 1

a)

$$T\cos{30}l=F\sin{30}l+f\cos{30}l\\ T\cos{30}=2000\sin{30}+1500\sin{30}\\T=2020\ N$$

b)

$$R_x=2020\ N\\R_y=2000+1500=3500\ N$$