Answer:
M(t) = 64 Kgs
Step-by-step explanation:
To find the total mass of the rod, we have to integrate the expression
M(x) = ∫₀⁴ rho(x)*dx
Where rho (x) = 6 + 5*x in Kgs /m
M(x) = ∫₀⁴ ( 6 + 5*x ) dx ⇒ M(x) = ∫₀⁴ 6 dx + ∫₀⁴ 5*x dx
M(x) = 6x |₀⁴ + 5* x²/2 |₀⁴
M(x) = 6( 4 - 0 ) + 5/2 ( 16 - 0 )
M(x) = 24 + 40 Kgs
M(t) = 64 Kgs
