Chapter 11, Problem 36P

Determine the ratio P/Q of the forces that are required to maintain equilibrium of the mechanism for an arbitrary angle 0. Neglect the weight of the mechanism.

Determine the tension in each cable necessary for equilibrium of the massless pipe supporting 800 N/m uniform load over a distance of 3 m if the support at A is ball- and-socket. Note that the structure is symmetrical about the x-z plane. X 1.5 m 800 N/m 3 m B 1 m 1.5 m -1.5m1m Z 1.5 m 3 m

The 9.2-kg uniform rod is pinned at end A. If it is also subjected to a couple moment of 50 N⋅m. The spring is unstretched when θ = 0, and has a stiffness of k = 60 N/m. A) Determine the smallest angle θ for equilibrium. θ= ?

1. The cord AB has a length of 5 m and is attached to the end B of the spring having a stiffness k = 10 N/m. The other end of the spring is attached to a roller C so that the spring remains horizontal as it stretches. If a 10 N weight is suspended from B, determine the necessary un-stretched length of the spring, so that = 40° for equilibrium. 5 m 5 m 5 m- www k = 10 N/m

Spring CD remains in the horizontal position at all times due to the roller at D. If the spring is unstretched when 0 = 0° and the stiffness is k = 1.5 kN/m, determine the smallest angle for equilibrium and the horizontal and vertical components of reaction at pin А. 0.45 m 0.6 m B F= 300 N A

Determine the unstretched length of spring AC if a force P = 100 Ib causes the angle 0= 52° for equilibrium. Cord AB is 2 ft long. Take k = 35 lb/ft. 2 ft 2 ft www

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The cable of mass 1.8 kg/m is attached to a rigid support at A and passes over a smooth pulley at B. If the mass M = 40 kg is attached to the free end of the cable, find the two values of H for which the cable will be in equilibrium. (Note: The smaller value of H represents stable equilibrium.)

Cart B , which weighs 75 kN, rolls along a sloping track that forms an angle B with the horizontal. The spring constant is 5 kN/m, and the spring is unstretched when x= 0. Determine the distance xcorresponding to equilibrium for the angle B indicated.Angle β= 60°