i already know that -mgrsinO + TrsinO= o but the answer is suppose to be 35.15 a

Question

i already know that -mgrsinO + TrsinO= o but the answer is suppose to be 35.15 and no mater how i plug it in it never works out to that can someone show me in detail please ive been struggling with this problem for the last 2 hrs and i know its suppose to be easy

A 3.2-kg rod is 3.0 meters long and is attached to a wall with a hinge, as shown. It is prevented from swinging down by a string attached to the rod 2.0 meters from the wall. The other end of the string is attached to the wall at an angle of 42

Explanation / Answer

by rotational eqbm about the hinged point of the rod on the wall
-mgR+Trsin = 0

R = 3/2 = 1.5m

r = 2m

m = 3.2kg

= 42o

therefore, T = 35.1044 N <taking g = 9.8m/s^2>

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