Answer to Question #292692 in Physics for NNNN

Question

A taho vendor carries a 1.5 m long light plank over his shoulder. At the ends of the plank are two buckets weighing 40 N and 60 N respectively. (a) Find the value of force F exerted by his shoulder. Neglect the weight of the plank. ( b) Where should he support the plank for it to be balanced horizontally ( refer to FIG 1) 

Answer 1

(a) Find the value of force F exerted by his shoulder:

$$F=W_1+W_2=100\text{ N}.$$

(b) The point of equilibrium can be found from moments:

$$W_1x=W_2(l-x),\\\space\\ x=\dfrac{lW_2}{W_2+W_1}=1.13\text{ m}$$

from W₁ (from the 40N-weight).