A4.00-m-long, 500 kg steel beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. a 70.0 kg construction worker stands at the far end of the beam. what is the magnitude of the gravitational torque about the point where the beam is bolted into place?

12544 N.m

Explanation:

given,

length of beam = 4 m

mass of steel = 500 Kg

mass of worker = 70 Kg

torque at hinge = ?

weight of the beam will at the center of mass which is at 4/2 = 2 m distance form the hinge.

distance of worker = 4 m

torque acting at hinge=

 = Mg x 2 + mg x 4

 = 500 x 9.8 x 2 + 70 x 9.8 x 4

 = 12544 N.m

hence, torque experience at the hinge is equal to 12544 N.m