Here you must solve for the tension T in the slanted rope given the condition th
ID: 1342930 • Letter: H
Question
Here you must solve for the tension T in the slanted rope given the condition that the clockwise and counterclockwise torques must balance. Clockwise torque is provided by the hanging weight of m = 8.00 kg and the length PE of 7.00. Counterclockwise torque comes from tension T in the slanting rope with angle = 55 degree attached at distance OP of 5.25 m from the pivot point P. Procedure: draw the line of action and the lever arm for each of the two torques, write out their equations (symbols not numbers), solve algebraically for T, then plug and chug.Explanation / Answer
torque = r x F = |r| |F| sin@
where @ = angle between force and position vector.
balancing torque about point P ,
OP * Tsin@ - PE*mg*sin90 = 0
5.25 * Tsin55 - ( 7 * 8*9.81*1) = 0
T = 127.74 N