tension and force?

Question

A 20.0-kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole. A cable at an angle of 30.0° with the beam helps to support the light. Find (a) the tension in the cable and (b) the horizontal and vertical forces exerted on the beam by the pole.

if a picture would help, go here:
http://www.google.com/search?hl=en&client=firefox-a&rls=org.mozilla%3Aen-US%3Aofficial&q=a+fishing+pole+is+long+and+inclined+to+the+horizontal+at+an+angle+of+what+is+the+torque+exerted+by+the+fish+about+an+axis+perpendicular+to+the+page+and+passing+through&btnG=Search

and click on the second link; it is a microsoft word file, and it is problem # 22

Answer 1

Tx=Tcos(30)
Ty=Tsin(30)

Summation of x components

Tcos(30) + R=0

Summation of y components

Tsin(30) - mg=0

T= mg/sin(30)= 0.5 mg= 0.5x20.0 x 9.81=98.1 N


R= - Tcos(30)= 98.1 x cos(30)
R= 85.0 N

Tx=Tcos(30)=98.1 x cos(30)=85N
Ty=Tsin(30)=98.1 x sin(30)=49N