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Arigid, vertical rod of negligible mass is connected to the floor by a bolt thro

ID: 1681910 • Letter: A

Question

Arigid, vertical rod of negligible mass is

connected to the floor by a bolt through its lower end, as

shown in the figure. The rod also has a wire connected

between its top end and the floor. If a horizontal forceF

isapplied at the midpoint of the rod, find (a) thetension

inthe wire, and (b) the horizontal and(c) the vertical

components of force exerted by the bolt on the rod.

Explanation / Answer

a) Toque balancing equation we have               = L T cos45 - 0.5 F = 0        ==> T = F / 2Lcos45                   = F / 2 b) The horizontal tension Fx = T cos45 - F = - 0.5 F c) The vertical tension Fy = T sin45 = 0.5 F

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