Answers from the answer key:

a) 46.1 kgm2

b) Fg of beam at 0.750 m from wall, Fg of person 1.00 m from wall, assume standard directions

c) -452 Nm

d) -9.8 rad/s2

e) no, it decreases in magnitude as sin() decreases.

f) 674 N

2. A 5.50 kg, 1.50 m long beam is mounted perpendicular to a wall with bolts. A small person with a mass of 42.0 kg walks out onto the beam and stops 1.00 m from the wall. (a) What is the moment of inertia of the beam-and-person system? (b) Draw an extended free body diagram of the beam, showing specifically where Earth's gravity and the person act on the beam. (c) Calculate the torque about an axis through the bolts that anchor the beam to the wall. (d) If the threads on the bolt give way, what is the resulting instantaneous angular acceler- ation of the beam-and-person? (e) Is it constant as the beam falls? Why /why not? (f) To prevent this, a cable connects the far end of the beam to a point on the wall 0.75 m above the bolts. What does the tension in the cable need to be to keep the system from falling