The winch shown in the figure was designed to lift weights of 1200 lb. The weigh
ID: 1862166 • Letter: T
Question
The winch shown in the figure was designed to lift weights of 1200 lb. The weight of the boom AB may be neglected for this analysis. The cable is reeled in and out at C. draw a free body diagram then develop a table of magnitudes of cable tension T and the resultant pin reaction at A for ? varying from 0 degrees to 75 degrees in increments of 5 degrees.
Please provide the necessary equations to do the last step. Please show work . Thanks!
The winch shown in the figure was designed to lift weights of 1200 lb. The weight of the boom AB may be neglected for this analysis. The cable is reeled in and out at C. draw a free body diagram then develop a table of magnitudes of cable tension T and the resultant pin reaction at A for? varying from 0 degree s to 75 degree s in increments of 5 degree s.Explanation / Answer
balancing torque about A
Tension = T(-6cos/thetha i + (8-6sin/thetha) j )
(8cos/thetha i + 8sin/thetha j) * 1200 (-j) = (6cos/thetha i + 6sin/thetha j) * T(-6cos/thetha i + (8-6sin/thetha) j )
8costhetha *1200 (-k ) = T * (6costhetha * (8-6sinthetha)) k + 6sin/thetha*6cos/thetha )k )
solving this
T = 200 lbf
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.