Question

Draw the free body diagram for each of the members of the system. Write the equilibrium equations and find the supporting forces at E and F. Pulleys A and B offer no rotational resistance from friction at the bearings.

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Answer 1

get Making FBD for c, T у 45° In X 4 y directions, equating forus mg - 200) 0012 N N T= mg cos 45 = Sin 45 mg 200 - 100.2N N- .: Tension is string = 7+ 10017 N Now, considering rod ED > Y T 1309 Taking moment about E -T cos3o) + 8 + F x 16 = Cos(39) > F =50V2 N X

Equating Forces along X-areis Toos 30 Ext Fr Ext Fr 10082 43 2 > 100 6,7582 > Ex=51.76 N Equating forces along yang =0 T cos (60) + E tEy Now, considering F FD Ry 9 Gm 4-85m 与 130 Lx وفا Vos TTWA Ex T

Taking moment about F, we we get + + 13.85 (esB + F los30 + T cos 45+ (-f4 Costo PA Fy=836.235 N X-axis Equating forces along Rx + fy Cos(30) + T Cos(45) + Fe Cos (60) = 0 Rx -859.56N Х Equating forces along yaxis Ry - (T+wa) -wp - F, Cos 30 - Todas + fy cosso -0 in ท eg > R2 = 84.549 Putting the value of fy we get, Ey=906.94 N

Reaction at F __184.54 N t 859-56N Reaction at E 1300 906.94N 51.76N