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Rod ABC is attached to blocks A and B that can move freely in the guides shown. The constant of the spring attached at A is k = 3 kN/m, and the spring is un-stretched when the rod is vertical. For the loading shown, determine the value of Θ corresponding to equilibrium.

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A package is projected 10 m up a 15° incline so that it just reaches the top of the incline with zero velocity. Knowing that the coefficient of kinetic friction between the package and the incline is 0.12, determine (a) the initial velocity of the package at A, (b) the velocity of the package as it returns to its original position

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The two blocks shown are originally at rest. Neglecting the masses of the pulleys and the effect of friction in the pulleys and between block A and the horizontal surface, determine (a) the acceleration of each block, (b) the tension in the cable.

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Determine the vertical movement of joint D if the length of member BF is increased by 1.5 in.

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Using the method of virtual work, determine the reaction at E

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Knowing that the line of action of the force Q passes through point C, derive an expression for the magnitude of Q required to maintain equilibrium.

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Derive an expression for the magnitude of the couple M required to maintain the equilibrium of the linkage shown.

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For the linkage shown, determine the force Q required for equilibrium when l = 18 in., M = 600 lb in., and θ = 70°.

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The position of member ABC is controlled by the hydraulic cylinder CD. Determine the angle θ knowing that the hydraulic cylinder exerts a 15-kN force on pin C.

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The mechanism shown is acted upon by the force P; derive an expression for the magnitude of the force Q required to maintain equilibrium.

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The two-bar linkage shown is supported by a pin and bracket at B and a collar at D that slides freely on a vertical rod. Determine the force P required to maintain the equilibrium of the linkage.

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