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- Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.One end of a rod of length L and density ρ is fixed by a frictionless pivot at a depth d under water. Determine the equilibrium positions of the rod in terms of its angle α measured from the vertical, and the investigate whether the equilibrium positions are stable or unstable, given that (a) ρ = 500 kg/m3 ; (b) ρ = 853 kg/m3 (The density of water is ρw = 1000 kg/m3 .). The small piston of a hydraulic lift (g. 1) has a cross-sectional area of 3.00cm2, and its large piston has a cross-sectional area of 200cm2. What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load whose weight is Fg = 15.0kN?
- A mass M is under tension from wires CD and DE. If CD is 25º from the horizontal while DE is 30º determine the safe value of mass m if the cross sectional areas of the two wires are 80 and 100mm^2 respectively. Maximum allowable stress for wire CD is 30 MPa and wired DE is 40MPa.P 243 - Determine the relationship between the pressure difference and the relative density for it - For the relationship found, what is the variation for the system to collapse?Air in the accompanying piston-cylinder device is in equilibrium at 190 oC.The mass of the hanging weight is 13kg.Atmospheric pressure is 100 kPA,and the piston diameter is 10cm.Determine the pressure of air inside.Assume g=9.81 m/s2.
- I need to draw a free body diagram and the solution M kg=406Ancient pyramid builders are balancinga uniform rectangular stoneslab of weight w, tipped at anangle u above the horizontal, usinga rope (Fig.). The rope isheld by five workers who share theforce equally. (a) If u = 20.0°, whatforce does each worker exert on therope? (b) As u increases, does eachworker have to exert more or lessforce than in part (a), assuming theydo not change the angle of the rope? Why? (c) At what angle do theworkers need to exert no force to balance the slab? What happens if uexceeds this value?A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m1 = 2.00 kg, m2 = 7.65 kg, and ? = 49.0°. A triangular structure is oriented such that its base rests upon a horizontal surface, its left side is perpendicular to its base, and its right side forms an incline of angle ?. A pulley is attached to the structure's apex. Two objects are connected by a cord that passes over the pulley. A circular object labeled m1 is attached to the to the left end of the cord and hangs freely. A rectangular object labeled m2 is attached to the end of the cord and rests upon the incline. (a) What are the magnitude of acceleration (in m/s2) of the block and sphere? _____m/s2 (b) What is the tension (in N) in the cord? (Enter the magnitude.) ____N (c) What is the speed (in m/s) of each object 2.25 s after being released from rest? ____m/s (d)What If? If the incline under m2 is rough, what is the minimum value…
- Show complete solutions and figures The diameters of the two cylinders A and B in the figure shown are 80 mm and 750 mm, respectively. The face of the piston is 1.2 m above the face of the weight platform. The space in between the piston and the weight is filled with oil (s.g.=0.80). If F=75 N, Determine the following: the value of Wrequired to maintain equilibrium. a) 38.6 N b) 86.3 N c) 63.8N d) 83.6 N e) NoneQ 244 What are the reaction forces on the latch an djoint in the gate below? And in case thefloodgate is reversed (concave)? *The gate is a cylinder room with length L = 5 mThe cylinder having a diameter 2.5 ft weighs 57 lb and is 6 ft long. Determine the reaction (lb.) at A neglecting friction. Determine the reaction at B (lb.) neglecting friction. Weight density of water is 62.4 lb/ft3 Sp.gr Gs = 1.6