Question

A 4.00-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?

Answer 1

12544 N.m

Step-by-step 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