A 8-m-long, 510 kg steel beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. A 66 kg construction worker stands at the far end of the beam. What is the net torque on the beam

Respuesta :

Answer:

[tex]T=25166.4Nm[/tex]

Explanation:

From the question we are told that:

Mass of beam [tex]m_b=510kg[/tex]

Length [tex]l=8m[/tex]

Mass of Worker [tex]M_w=66kg[/tex]

Given the Weight acting on the Beam

Generally the equation for net torque on the beam is mathematically given by

[tex]T=\frac{l}{2}m_bg+(lm_wg)[/tex]

[tex]T=\frac{8}{2}*510*9.8+(8*66*9.8)[/tex]

[tex]T=25166.4Nm[/tex]

[tex]T=25.2kNm[/tex]