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- A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)A bungee jumper having a mass of 55 kg leaps from a bridge, braking her fall with a long elastic shock cord having axial rigidity EA = 2.3 kN (see figure). If the jumpoff point is 60 m above the water, and if it is desired to maintain a clearance of 10 m between the jumper and the water, what length L of cord should be used?Figure c shows a pulley system with a suspended load W of 2000 N. Calculate the following: (i) The effort force (F effort) necessary to lift and hold a load of 2000 N.(ii) The ideal mechanical advantage (IMA) for the pulley system.(iii) The ceiling force at ceiling anchor Point A.(iv) The ceiling force at anchor Point B.
- I need help please Two gondolas on a ski lift are locked in the position shown in the figure while repairs are being made elsewhere. The distance between support towers is L = 100 ft. The length of each cable segment under gondola weights WB = 450 lb and WC = 650 lb are DAB = 12 ft, DBC = 70 ft, and DCD = 20 ft. The cable sag at B is ΔB = 3.9 ft and that at C(ΔC) is 7.1 ft. The effective cross-sectional area of the cable is Ae = 0.12 in2.(a) Find the tension force in each cable segment; neglect the mass of the cable.(b) Find the average stress (s) in each cable segment.Determine the force Vectors F = 90 N and F43 in the four bar mechanism shown in figure below. Draw the force diagram for the link QB. OQ is 80 Cm. OA is 50 Cm. AB is 70 Cm. QB is 60 Cm. QE is 34 Cm. Link QB at 77 degrees with horizontal. Link AB is 13 degrees with horizontal. Force F is at 32 degrees with horizontal. Link OA is at 60 degrees with horizontal.3. The stopper in the figure has a specific gravity of 76 kN/m°. Calculate the diameter for the valve to be keep in static equilibrium h=1.5 m. The weight of the sphere is negligible.
- a ladder whose length L is 12 m and whose mass is 45 kg rests against a wall. Its upper end is a distance h of 9.3 m above the ground, as in the Figure. The center of gravity of the ladder is one-third of the way up the ladder. A firefighter whose mass M is 72 kg climbs halfway up the ladder. Assume that the wall, but not the ground is frictionless. What forces are exerted on the ladder by the wall and by the ground?Figure 1 shows a railroad wagon axle and forces acting over it. There are two disc brakes on the wagon axle. Since the wagon wheels are not driven wheels, the load bearing element to which the wheels are connected is called axles. The axle is supported at both ends with bearing A and bearing B and the the weight of the wagon (G) is evenly distributed on both bearings (as G/2). During braking, two disc brakes on the axle are applied Ff force and Ft friction forces are formed on the wheels. Therefore the axle is forced to bend in the vertical direction with the effect of wagon weight (G) and wheel reaction forces (Rt), and in horizontal direction with the effect of braking (Ff) and wheel friction (Ft) forces. At the same time, the axle is forced under torsion because of Ff and Ft forces. GIVEN:Shaft material : 50CrMo4 Wheel material : GS 60 Brake discs’s material: 15Cr3 All the radiuses : 5 mm Average roughnesses for press fit surfaces: Ra =6.3 μm Wheel speed: = 500 d/d Wagon weight per…Figure Q6c shows a pulley system with a suspended load w of 2000 N. Calculate the following: (i) The effort force (FEffort) necessary to lift and hold a load of 2000 N. (ii) The ideal mechanical advantage (IMA) for the pulley system. (iii) The ceiling force at ceiling anchor Point A. (iv) The ceiling force at anchor Point B
- Figure Q6c shows a pulley system with a suspended load w of 2000 N. Calculate the following:(i) The effort force (FEffort) necessary to lift and hold a load of 2000 N.(ii) The ideal mechanical advantage (IMA) for the pulley system.(iii) The ceiling force at ceiling anchor Point A.(iv) The ceiling force at anchor Point B.A uniform ladder 8 meters long and weighing 350 N rest against a smooth vertical wall at an angle of 30° to the wall. A 700-N man stands 6 meters up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping. please use the end at the top as the reference point.A beam held by a hinge, take 2. The left end of a beam of mass 17.9 kg and length L is fixed to a wall by a hinge. The beam is inclined at 19.8 degrees from the horizontal; it is supported at its right end by a rope forming an angle of 30.3 kg with the horizontal.create a template for:a) the tension in the rope;b) the orientation of the hinge force, relative to the x+ axis.