test4 - COE 2001 — Test 1 — Fall 2006 Name KEY Pb I(40...

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Unformatted text preview: COE 2001 — Test 1 — Fall 2006 Name: KEY Pb. I (40 pts) — The two painters in the figures below are held in equilibrium on scaffolds. The first painter lifts himself (case a). The second man is lifted by a fiiend on the ground (case b). Each scaffold weighs 40 lbs. Each painter weighs 180 lbs. For each case: — Draw FBDs of the painter and the scaffold, separately. Determine the magnitudes and the directions of all forces on the painter and the scaffold (again, separately). Assume the pulleys are small and massless. - Assume tension in the rope on both sides of either pulley is the same. Use the law of action and reaction. T Sidemembers Pb 11 (30 pts) — A particle located at the origin 0 of the coordinate system is acted on by the three forces F1, F2 and F3, of magnitudes 14, 6 and 10 N respectively. Is the particle in equilibrium as the forces are applied? If not, what additional force F4 will keep it at the origin? A Pb. III (30 pts) — In terms of the angle 6, find the moment of the weight W about the base A of the mast, if the intersection line (dashed) of the deck place (xy) with the plane of the mast, boom, and cable forms an angle of 30° with the x axis. The length of the boom is 10 m. 3 (9.66 we) g the) ——Q ~ 6 A — L) ”A ._._ €2.66 me? + Thu914lowBL>K C 9590 A ’.\ l ’1: FA: 0 2F: EF' ——9 --9’ Ex ‘—5 A F.uA E: )I ...
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