Question 1) If a mass (m) is attached to a bridge by a massless cord (length L) above the water (height h), determine the following:
(show your work and include refrence frames, coordinate systems and free body diagram)
a) If the mass initially at rest is released from the bridge (gravity pointed towards the bottom of the page), develop an expression for the force in the cable in terms of: (m, g, L, $\theta$ and $\theta$'). Determine what angle $\theta$ the force is maximum.
b) If the cable snaps exactly at the angle of maximum force, what is the distance away from the point of attachment A that the mass will impact the water? Neglect air resistance.
c) What is the velocity at impact?
d) What is the expression for the angular momentum of the mass about point A before the cable snaps?
