A chimney (length L = 69.5 m, mass M = 1950 kg) cracks at the base, and topples. Assume:
- the chimney behaves like a thin rod, and it does not break apart as it falls
- only gravity (no friction) acts on the chimney as if falls
- the bottom of the chimney tilts but does not move left or right
a) When the chimney makes an angle of θ = 33.7o with the vertical, find τ, the magnitude of the torque acting on the chimney due to gravity.
b) When the chimney makes an angle of θ = 33.7o with the vertical, find , the magnitude of the angular acceleration of the center of mass of the chimney.
c) Find vcm, the linear speed of the center of mass of the chimney just as it hits the ground.
d) Find vtop, the linear speed of a point on the top of the chimney just as it hits the ground.