Question

2. (Chapt 12) Consider a construction worker of mass m = 97.8 kg standing at the end of a steel beam of length ? = 12.5 m and mass M = 729 kg that is attached to the side of a building. A rope is attached midway along the beam making an angle of ? = 30.0° with the horizon and attached to the side of the building at a pivot point as shown in the figure below. rope ? M m pivot point ? ? / 2 (a) (6 pts) Draw and label the force vectors on the beam excluding forces at or on the pivot point. Since this is a torque problem, it is important to accurately place where the forces act on the beam. (b) (5 pts) What is the torque exerted by the construction worker on the steel beam about the pivot point? (c) (5 pts) What is the torque exerted by the mass of the steel beam itself about the pivot point? (d) (5 pts) What is the magnitude of the tension in the rope required to maintain this system in a state of static equilibrium?

          2. (Chapt 12) Consider a construction worker of mass m = 97.8 kg standing at the end of a steel beam of length ? = 12.5 m and mass M = 729 kg that is attached to the side of a building. A rope is attached midway along the beam making an angle of ? = 30.0° with the horizon and attached to the side of the building at a pivot point as shown in the figure below.

rope
?
M
m
pivot point
?
? / 2

(a) (6 pts) Draw and label the force vectors on the beam excluding forces at or on the pivot point. Since this is a torque problem, it is important to accurately place where the forces act on the beam.

(b) (5 pts) What is the torque exerted by the construction worker on the steel beam about the pivot point?

(c) (5 pts) What is the torque exerted by the mass of the steel beam itself about the pivot point?

(d) (5 pts) What is the magnitude of the tension in the rope required to maintain this system in a state of static equilibrium?

2. (Chapt 12) Consider a construction worker of mass m = 97.8 kg standing at the end of a steel beam of length ? = 12.5 m and mass M = 729 kg that is attached to the side of a building. A rope is attached midway along the beam making an angle of ? = 30.0° with the horizon and attached to the side of the building at a pivot point as shown in the figure below.

rope
?
M
m
pivot point
?
? / 2

(a) (6 pts) Draw and label the force vectors on the beam excluding forces at or on the pivot point. Since this is a torque problem, it is important to accurately place where the forces act on the beam.

(b) (5 pts) What is the torque exerted by the construction worker on the steel beam about the pivot point?

(c) (5 pts) What is the torque exerted by the mass of the steel beam itself about the pivot point?

(d) (5 pts) What is the magnitude of the tension in the rope required to maintain this system in a state of static equilibrium?

Added by Patricia G.

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