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The German Zeppeins of World War I were dirigibles with the following typical characteristics:

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- 123 12) The spring has a stiffness k = 200 N/m and an unstretched length of 0.5 m. If it is attached to the 3-kg smooth collar and the collar is released from rest at A, determine the speed of the collar when it reaches B. Neglect the size of the collar. 2 m S Z k=200 N/m B 1.5 marrow_forward11) The assembly consists of two blocks A and B which have a mass of 20 kg and 30 kg, respectively. Determine the speed of each block when B descends 1.5 m. The blocks are released from rest. Neglect the mass of the pulleys and cords. Barrow_forward8) The 1000-lb elevator is hoisted by the pulley system and motor M. If the motor exerts a constant force of 500 lb on the cable, determine the power that must be supplied to the motor at the instant the load has been hoisted s = 15 ft starting from rest. The motor has an efficiency of ε = 0.65. 0000arrow_forward
- 7) The spring has a stiffness k = 50 lb/ft and an unstretched length of 2 ft. As shown, it is confined by the plate and wall using cables so that its length is 1.5 ft. A 4-lb block is given a speed VA when it is at A, and it slides down the incline having a coefficient of kinetic friction μk = 0.2. If it strikes the plate and pushes it forward 0.25 ft before stopping, determine its speed at A. Neglect the mass of the plate and spring. Α k = 50 lb/ft 1.5 ft 3ftarrow_forward10) The 30-lb block A is placed on top of two nested springs B and C and then pushed down to the position shown. If it is then released, determine the maximum height h to which it will rise. 6 in. 4 in. kg 200 lb/in. kc 100 lb/in. Barrow_forwardAs indicated by the derivation, the principle of work and energy is valid for observers in any inertial reference frame. Show that this is so, by considering the 10-kg block which rests on the smooth surface and is subjected to a horizontal force of 6 N. If observer A is in a fixed frame x, determine the final speed of the block if it has an initial speed of 5 m/s and travels 10 m, both directed to the right and measured from the fixed frame. Compare the result with that obtained by an observer B, attached to the x' axis and moving at a constant velocity of 2 m/s relative to A. Hint: The distance the block travels will first have to be computed for observer B before applying the principle of work and energy. A B 2 m/s 5 m/s 6 N 10 marrow_forward
- 6) The block has a mass of 0.8 kg and moves within the smooth vertical slot. If it starts from rest when the attached spring is in the unstretched position at A, determine the constant vertical force F which must be applied to the cord so that the block attains a speed vB = 2.5 m/s when it reaches B; SB = 0.15 m. Neglect the size and mass of the pulley. Hint: The work of F can be determined by finding the difference Al in cord lengths AC and BC and using UF = F Al. 0.4 m -0.3 m- wwwwww k = 100 N/marrow_forwardIf the cord is subjected to a constant force of F = 300 N and the 15-kg smooth collar starts from rest at A, determine the velocity of the collar when it reaches point B. Neglect the size of the pulley. 200 mm- 200 mm B 300 mm 30° 200 mm F= 300 Narrow_forward5) The 25-lb block has an initial speed of v = 10 ft/s when it is midway between springs A and B. After striking spring B, it rebounds and slides across the horizontal plane toward spring A, etc. If the coefficient of kinetic friction between the plane and the block is μk 0.4, determine the total distance traveled by the block before it comes to rest. k₁ = 10 lb/in. 2 ft 1 ft = 10 ft/s kB = 60 lb/in. Barrow_forward
- 9) The sports car has a mass of 2.3 Mg, and while it is traveling at 28 m/s the driver causes it to accelerate at 5 m/s². If the drag resistance on the car due to the wind is FD = (0.3v²) N, where v is the velocity in m/s, determine the power supplied to the engine at this instant. The engine has a running efficiency of € = 0.68. 1=arrow_forward1) 1000 N 800 N The crate, which has a mass of 100 kg, is subjected to the action of the two forces. If it is originally at rest, determine the distance it slides in order to attain a speed of 6 m/s. The coefficient of kinetic friction between the crate and the surface is μk = 0.2. 30°arrow_forwardThe light right-angle boom which supports the 250-kg cylinder is supported by three cables and a ball-and-socket joint at O attached to the vertical x-y surface. Determine the reactions at O and the cable tensions. A Answers: C y +1.40 m! 0.70 m B 0.70 m 250 kg 1.40 m. D 1.15 m E 1.15 m 2.95 m Ox N, Oy = i N, O₂ = i TAC = i N, TBD = N, TBE = i N Narrow_forward
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