7. The pruning mechanism of a pole saw is shown as it cuts a branch S. For the particular position drawn, the actuating cord is parallel to the pole and carries a tension of 120 N. Determine the shearing force P applied to the branch by the cutter and the total force supported by the pin at E. The force exerted by the light return spring at C is small and may be neglected. Two-force member: CD FBD of member EDF 60 FCD (//x) o 120 N x y 60o Ex R Ey R2=1202+1202+2×120×120×cos40 ME 0 Fx 0 Fy 0 R=225.5 N 225.5 sin 4075 150 FCD sin 6075 0 FCD 502 N 225.5 cos 20 FCD E x 0 E x 290 N 225.5 sin 20 E y 0 E y 77 N E 290 2 77 2 300 N C FCD D FCD C FCD Bx By B x 60o A 75o P MB 0 P cos 1525 FCD sin 6075 0 P 1350 N
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