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 positiona trolley of mass m stands on frictionless rails.a rod of mass m and length l is pivoted to the roof of trolley on a frictionless hinge and the and rod is gently left from the horizontal postion as shown in the figure. initialy the whole system was at rest when the rod becomes vertical for the first time.net vertical force offered by the track to the carriage is 16/x mg. find x.In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (250+X) mm while the bottom arms are (300+X) 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 position Note X is the student roll no. for example if the student roll no is A20 then X=20
- 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.A block of mass m2=6kg resting on a rough horizontal plane is pulled by an inextensible string passing over a pulley, which supports a block m1=5kg as shown in the figure. Determine the acceleration of the system and the tensions in each portion of the string connecting the blocks. The coefficient of friction between the block 2 and the plane is 0.2.1. A cart is being pulled by a motor. The cart has a mass of m = 200 kg. The motor applies a horizontal force of F = 800 N to the center of the right side of the cart. The cart is 1m tall, the total length is 1.5m, the wheels are 1m apart from each other, and the center of mass G is 0.4 m above the floor and on the horizontal center. Ignore friction. If there is no rotational movement of the cart, determine the following: 1. The cart's acceleration 2. The reaction (normal) force at the front pair of wheels. 3. The reaction (normal) force at the rear pair of wheels. F 77 TI T
- A trolley of mass M stands on frictionless rails. A rod of mass M and length L is pivoted to the roof of the trolley on a frictionless hinge and the rod is gently left from the horizontal 16 Mg position as shown in the figure. Initially the whole system was at rest when the rod becomes vertical for the first time. Net 18. vertical force offered by the track to the carriage is Find x.A barrel of asphalt weighing 450 N starts from rest at Aand rolls without friction along a vertical parabolic curveACB with dimensions L = 6.00 m and d = 1.20 m. Find thenormal force between the barrel and the path at the lowestpoint C. Hint: You need to determine the radius of thecurvature at point C.The collar is released from rest in the position shown and slides down the fixed rod. Calculate (a) the stiffness k of the spring (which has been initially pre- compressed 50 mm by the light strap and wires) so that its maximum additional deflection equal 190 mm. (b) The nonnal 1.3 m smooth 10 kg 30 190 mm force N between the rod and the collar at the end position. Ui3= AT 1.0 m P = 250 N Position of B is fixed
- 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.First Burglars in the system of figures started to move, each 22.7 kg mass which, 45 N luke T force under the effect of R = 324 mm diameter at t second 169 cycles / minute health reaches an angular velocity. Since the radius of the pulley is r=135 mm , find t ignoring the friction and all masses except the four masses . Response:4. Draw the FBD and derive the EOM of the pulley system below with respect to x using Newton's laws. Mass m slides on a rough surface with friction force f. There is no displacement in the spring initially. -Pulley. moment of inertia J,