A 100-Kg Nonuniform Boom That Is 6 $30 ^ { \circ }$

Multiple Choice

A 100-kg nonuniform boom that is 6.0 m long is loosely pinned at the pivot at P. A 600-kg concrete block is suspended from the end of the boom at A , as shown in the figure. The boom forms a $30 ^ { \circ }$ angle above the horizontal, and is supported by a 4.0 -m cable between points D and B . Point B is 4.0 m from P , and point D is 4.0 m above P . The center of mass of the boom is at point C , which is 2.0 m from P. Assume that all the quantities shown in the figure are accurate to two significant figures. What is the tension in the cable connected between points B and D?

A) 9300 N
B) 6900 N
C) 7500 N
D) 8100 N
E) 8400 N