Question 2 A wagon of mass 12 t, travelling at 16 km/h strikes a pair of parallel spring loaded stops. If the stiffness of each spring is 600 kN/m, calculate the maximum compression in bringing the wagon to rest.
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- 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 positionIn a Porter governor, the mass of the central load is 18 kg and the mass of each ball is 2 kg. The toparms are 250 mm while the bottom arms are each 300 mm long. The friction of the sleeve is 14 N. Ifthe top arms make 45° with the axis of rotation in the equilibrium position, find the range of speed ofthe governor in that position.The two blocks shown are originally at rest. Neglect the masses of the pulleys and the effect of friction in the pulleys and between the blocks and the incline. Consider WA = 206 lb and WB = 306 lb.
- Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless.Activity 3. A body that weighs W Newtons falls from rest from a height of 600mm and strikes a spring whose scale is 7.00 N/mm. If the maximum compression of the spring is 150 mm, what is the value of W? Disregard the mass of the spring.Forming a shock absorber, two springs of equal length are nested together. If the maximum compression of the springs is 0.25 and the outer spring has a stiffness of Ka = 420 N/m, what stiffness is required of the inner spring Kb? The design of the spring system is such that if a mass of 2.5 kg is at rest, then dropped from a distance of 0.75 m above the springs, the spring system will catch and stop the mass.
- 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.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.In a Porter governor, the mass of the central load is 18 kg and the mass of each ball is 2 kg. The top arms are 250 mm while the bottom arms are each 300 mm long. The friction of the sleeve is 14 N. If the top arms make 45° with the axis of rotation in the equilibrium position, find the range of speed of the governor in that position. 503.2
- In the system in which the first starts to move without speed, the masses of 10, 1 kg each, with the effect of the 18 N force T, with a radius of R=578 mm in t secondsIt reaches an angular velocity of 141 rpm. Since the radius of the pulley is r= 165 mm, ignore the friction and all the masses except the four masses.Find t byThe double pulley shown in the figure is formed by two wheels that are coupled to each other. The complete pulley (formed by the two wheels) has a mass of 15 kg and a turning radius of 110mm. Block A has a mass of 40 kg. If a force of 2 kN is applied to the tied rope of the inner pulley wheel, determine the speed of block A after 3 seconds. At the beginning, the whole system was at rest. Disregard the mass of the string and consider that the moment of inertia (kg.m²) of the complete pulley is given by IP = mko²where m is the mass of the pulley and Ko is the radiusspinningThe 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.