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- The bar ABC is supported by three identical, ideal springs. Note that the springs are always vertical because the collars to which they are attached are free to slide on the horizontal rail. Find the angle at equilibrium if W = kL. Neglect the weight of the bar.Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.The axle radius is 1 m and the wheel radius is 4 m. A 1600-N load is attached to the axle via a cable. A worker supports the load by holding on to the cable attached to the wheel. The moment of inertia of the wheel/axle system is 5 kg•m2. a) How much force must be applied to the wheel to maintain static or dynamic equilibrium? b) If the load is lifted 10 m, what is its change in potential energy? c) Assuming the load was lifted in dynamical equilibrium, what work did the worker do? d) How much cable does the worker use to lift the load 10 m?
- As2 19.aaoA reciprocatingmechanism with two external forces P and F, draw figure For the configuration Counle ne impending motion of the slider ls to the right and the fricton angle is o. Determine the C, on link 2 for static equilibrium.design a slider mechanismsuch thato,-30", n = 50°, and S,, = 25 cm, S =20 cm. The input crank moves inaclockwise sense while the output slider moves away from the fixed pivotThe controlling force curve of a spring controlled governor is a straight line. The weight of each governor ball is 40 N and extreme radii of rotation are 10 cm and 17.5 cm. If the values of the controlling force at above radli are 205 N and 400 N respectively and friction of mechanism is equivalent to 2.5 N at each ball. Find The extreme equilibrium speeds of the governor. (1) The equilibrium speed and coefficienct of insensitiveness at a radius of 15 cmIn a Proell governor, each ball weighs 2.5 kg; length of each of the main four arms in 20cms, the extended arm is 8 cm long. The pin joints of the main arm are 4 cm from the axis of the governor. For the sleeve to be on its bottom stop the distance between the top and bottom hinge points of the main arms is 30 cm and then the extended arm is vertical. Find the weight of central load when the sleeve just leaves the bottom stop at 150 rpm. What will be the speed of the governor after the sleeve has been raised to 4 cm?
- In a Proell governor, each ball weighs 2.5 kg; length of each of the main four arms in 20cms, the extended arm is 8 cm long. The pin joints of the main arm are 4 cm from the axis of the governor. For the sleeve to be on its bottom stop the distance between the top and bottom hinge points of the main arms is 30 cm and then the extended arm is vertical. Find the weight of central load when the sleeve just leaves the bottom stop at 150 rpm. What will be the speed of the governor after the sleeve has been raised to 4 cm? (b) What is meant by the term, stability of a governor? Derive the necessary conditions of stability for a centrifugal governorThe figure shows a mechanism that raises packages in a transfer mechanism. A 200-N package sits on the horizontal output link O4BD while the crank O2A is rotating at constant speed of 287 rpm CCW. At the position shown the crank OA is vertical and the output link OB is horizontal. we need to determine the torque required from the motor at the crank O2A and the force in member AB The weights of the links are negligible. 50mm 450mm 200 N 200 mm B. 374 mm 300mm X The angular velocity of the link OĄBD in rad/s is = Choose... + The magnitude of the velocity of point D in m/s is = Choose... + The torque required from the motor at the crank O2A in N.m is = Choose... : The force in member AB in N is = Choose... +In the diagram, Force F must pull with 30N to keep the system in static equilibrium, what is the weight? If the diameter of Gears D and G were changed to 14 cm, what would the required force to hold thesystem in equilibrium be? (Use the weight calculated previously)
- The end of a spring is pulled to the right by 4 cm; the restoring force is8 N to the left. Given the relationships 8.15c, if the spring is returned to equilibrium and then pushed to the left by 2 cm, the restoring force isA. 4 N to the left. B. 4 N to the right. C. 8 N to the left.D. 8 N to the right. E. 16 N to the left. F. 16 N to the right.One end of a uniform 2.60m rod with a mass of 38.0kg is supported by a cable connecting one end to the wall so that the cable makes an angle of 42.0° with respect to the rod. The other end rests against the vertical wall, where it is held in place by friction so that the rod is perfectly horizontal. A sign with an unknown mass is hung from the rod 1.90m from the wall so that wall exerts a normal force of 1790N on the rod in the positive x-direction. What is the mass of the sign in kilograms?In a four bar linkage mechanism the length of shortest and longest links are given as ‘a’ and ‘b’. The length of other two links are given as ‘c’ and ‘d’ respectively. Identify the Grashoff’s law equation from the following which guarantees the continuous relative motion between the links in the mechanism. a. b + d = a + c b. a + b < c + d c. a + c < b + d d. b + c < a + d