The 25-lb slender rod has a length of 6 ft. Using a collar of negligible mass, its end A is confined to move along the smooth circular bar of radius 3y2 ft. End B rests on the floor, for which the coefficient of kinetic friction is uB = 0.28. The bar is released from rest when 0 = 30°. (Figure 1) %3D
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- The 10 kg slender bar AB, shown in the figure, has a length of 2 m. A blockof negligible mass, pinned freely to end A, is confined to move along the smooth circular groove with its centre at O. End B rests on the floor for which the coefficient of kinetic friction, µk = 0.4. If the bar is released from rest when θ = 30 degreesa) identify the type of ensuing motion of the bar,b) draw the free body, kinematic and kinetic diagrams for the bar, c) set up a global reference axes system, and write down the relevantkinetic and kinematic relationships with respect to reference axes system, andd) determine the angular acceleration of the bar and the reaction forces at ends A and B.The 13-kg sphere C is released from rest when θ = 0∘ and the tension in the spring is F = 100 N. The figure shows rod AB hinged at point A. Sphere C is attached to the other end of the rod, labeled as B. Point D is located on the rod, 0.3 meters from point A and 0.15 meters from the center of the sphere. A spring with stiffness k of 500 newtons per meter is attached to the rod at point D by one of its ends. Another end of the spring is fixed at point E, located 0.4 directly above point A. The sphere is shown to be below and to the right of point A. An acute angle between the rod and the horizontal is labeled as theta. Determine the speed of the sphere at the instant θ = 90∘ . Neglect the mass of rod AB and the size of the sphere.A uniform slender bar AB with a mass of 20 kg and length of 3.6 m leans on a wall as shown. It is attached to a weightless small roller at end A on a smooth horizontal surface. The coefficient kinetic friction between end B and the wall is 0.25. If the bar is released from rest in the position shown when θ is 30°. Then find, determine the normal force at A. determine the normal force at B. determine the frictional force between end B and the wall.
- Hey, please reply as soon as POSIBLE! Wheel A, of 30kg, is located in the position shown by the effect of idler wheel D (frictionless wheel) and the system rope-spring BC. The static coefficient of friction is 0.50 and the kinetic coefficient is 0.40 between all the contact surfaces. If the force exerted by the horizontal spring is 60 N: a) Determine whether or not wheel A is turning when a moment M of 60 Nm is applied at point G. b) If it is shown that under the previous condition the wheel is turning, calculate the new value of the moment M necessary for the wheel to keep turning in equilibrium. Also indicate the frictional force that is generated at point F under that condition.A 256-lb block is released from rest when the spring is unstretched. The drum has a weight of 76 lb and a radius of gyration of kO = 0.9 ft about its center of mass O. The coefficient of stiffness of the spring is k=78 lb/ft. The radius of the drum are: rin=0.485ft and rout=0.82ft. Find the velocity of the block after it has descended d=4 feet.1)Calculate the velocity of the arm, observed by a stationary person on the ground.2)Draw the FBD of the combined body (crane body, arm and load).3)Is the combined body stable? Why?4)Calculate the moment of the following, about wheel A,i) combined crane bodyii) load mass5)Which combined body’s component(s) will not fail? Why? (Hint: The crane was initially in equilibrium.)6)What are the various limits (maximum or minimum) for the combined body to be stable? Explain why.
- The velocity of the 8-kg cylinder is 0.3 m∕s at a certain instant. The speed v after dropping an additional 1.5 m is 2.5 m/s. The mass of the grooved drum is 12 kg, its centroidal radius of gyration is k = 210 mm, and the radius of its groove is ri = 200 mm. The frictional moment at O is a constant 3 N∙m. Find the frictional force.A spool of mass 60 kg is supported on two rollers at A and B as shown in FigureQ1(c). Neglect the mass of the inelastic cable, friction and the mass of therollers at A and B. Knowing that a constant pulling force P is applied in order tounwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spoolis (604) mm, Appendix Ashows the examples of identifying the radius of gyration using student ID.(i) Determine the angular acceleration of the spool. (ii) Determine the pulling force P. (iii) Explain with calculation on ways to increase the acceleration of cablebeing pulled. [The 25-lb slender rod has a length of 6 ft . Using a collar of negligible mass, its end A is confined to move along the smooth circular bar of radius 32? ft . End B rests on the floor, for which the coefficient of kinetic friction is ?B = 0.52. The bar is released from rest when theta is 30 degrees. Find the angular acceleration of the rod (Please type answer no write by hend))
- In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (254) mm while the bottom arms are (304) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that positionA small 2-lb ball B is rotating (Fig.13) at angular speed w1 of (6+(0.1*26)) rad/sec about a horizontal shaft. The ball is connected to the bearings with light elastic cords which when unstretched are each 12 in. in length. A force of 15 lb is required to stretch the cord. The distance d1 between the bearings is originally 20 in. If the bearing A is moved to shorten d by 6 in, what is the angular velocity w2 of the ball? Neglect the effects of gravity and the mass of the elastic cords. Use the moment of momentum equation.The uniform slender bar shown in Figure 1 is pinned at a distance l= 27.3cm from its center of mass. The bar is releasedfrom rest with θ = 19◦ with the force of gravity acting in the -y-direction shown in the figure. The bar is 99cm long andhas a mass of 16kg. Determine the reaction at A immediately after release.