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An elevator cab that weighs 27.8 kN moves upward. What is the tension in the cable if the cab’s speed is ___.



Find the mass of the elevator:


a. At rest


b. Uniform motion


A monopolist with the cost function C=1/2Q2 faces a demand curve Q=12-P,

A.  What will be his equilibrium price and quantity?

B.  If for some reason the firm behaves as if it were in a perfectly competitive industry, what will equilibrium price and quantity?

C.  How much money will the firm require to forgo monopoly profits and behave competitively instead? 



Suppose that the demand and the total cost functions of a monopolist are P=24-3Q and C=Q2+8Q respectively, find the optimum quantity, price and profit on these levels.



If the total cost function of a firm is C=1/3Q3+5Q2+30Q+10 and the price under perfect competition is given as birr 6

A.  Find for what values of Q profit will be maximized

B.  Will the firm continue production at that output level? 



A perfectly competitive firm has a cost function of C=Q2+20Q+700 and the equilibrium price is birr 100. find

A. The profit maximizing level of output

B. The maximum level of profit 


Why is the firm to stop production if AVC falls below the P=MR line? 



Listed below is a combination of stresses acting at a point and referred to axes x and y in an elastic material. Using Mohr’s circle of stress determine the principal stresses at the point and their directions for each combination. 



i) sigma x=-60 N/mm^2, sigma y=-36N/mm^2, shear stress (xy) =5N/mm^2



ii) sigma x=30 N/mm^2, sigma y=-50N/mm^2, shear stress (xy) =30N/mm^2




At a particular point in a structural member a two dimensional stress system exists where sigma x=60N/mm^2 sigma y=-40N/mm^2 and shear stress (xy) =50N/mm^2 if young's modulus =200000N/mm^2 and poisson's ratio =0.3 calculate the direct strain in the x and y directions and the shear strain at the point.

Direct stresses of 120 N/mm^2 (tension) and 90 N/mm^2 (compression) are applied at a particular point in an elastic material on two mutually perpendicular planes the principal



stress in the material is limited to 100 N/mm^2(tension) calculate the allowable value of shear stress at the point on the given planes determine also the value of the other principal stress and the maximum value of shear stress at the point using Mohr's circle




A member ABCD is subjected to point loads P1,P2,P3, and P4 calculate the force P3 necessary for equilibrium if P1, = 120 kN, P2, = 220 kN and P4, = 160 kN. Determine also the. net change in the length of the member. Take E = 200 GN/m²

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