Answer: Hi your question is incomplete below is the complete question
A 2.0-m long rod has a density in kilograms per meters λ = a + bx, where a=1.0kg/m, b=1.0kg/m2, and x is the distance from the left end of the rod. The rod rests horizontally with each end supported by a scale. The force exerted by the left scale is?
answer : 13.08 N
Step-by-step explanation:
Determine the force exerted by the left scale
Length of rod = 2.0 m
Density of rod ( λ )= a + bx = 1 + 1x
First step ; Determine the moment
∑ moment = 0 = F * 2 - (( 1 * 2 * g * 2/2) + (1/2 * 2 * 1 * g * (2/3 ) )
∴ F = 4g / 3
= 4 * 9.81 / 3 = 39.24 / 3 = 13.08 N