p7_sol - Problem Set 7 Problem 7.1 Cable Force to Lift a...

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Problem Set 7 Problem 7.1 Cable Force to Lift a Ramp The ramp of a ship has a weight of 200 lb and a center of gravity at G . Determine the cable force in CD needed to just start lifting the ramp (i.e., so that the reaction at B is zero). Also, determine the horizontal and vertical components of force at the hinge A . Figure P7.1: Problem 7.1
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Problem 7.2 Force Reactions at Frictionless Connections Determine the reactions on the bent rod which is supported by a smooth surface at B and a frictionless collar at A . Figure P7.2: Problem 7.2
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Problem 7.3 The links 1 and 2 shown in Fig. P7.3 are each connected to the ground at A and C , and to each other at B using frictionless pins. The length of link 1 is AB = l . The angle between the links is 6 ABC = θ . A force of magnitude P is applied at the point D ( AD = 2 l/ 3) of the link 1. The force makes an angle θ with the horizontal. Find the force exerted by the lower link 2 on the upper link 1. Numerical application: a) l = 1 m, θ = 30 , and P = 1000 N; b) l = 2 ft, θ = 45 , and P = 500 lb. 1 2 P A B C θ D θ 1 2 P A B C θ D θ y x FBD of link 1 FBD of link 2 F 01 x F 01 y F 21 F 12 F 12 B C F 21 = - F 12 Figure P7.3: Problem 7.3 Solution 1. Mechanical System: link 1. 2. Free-Body Diagram: FBD of link 1 (see figure). 3. Equations: F x F y M A = 0. % the weights of the two links are negligible % the lower link 2 is a two force member: any force exerted on or by the link 2 % must be parallel to the line between its two connection points % the direction of the force applied by link 2 onto the link 1 is parallel to BC rB = [l, 0, 0]; % position vector of B rD = [2*l/3, 0, 0]; % position vector of D
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p7_sol - Problem Set 7 Problem 7.1 Cable Force to Lift a...

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