A mass of 100 kg falls on a spring of stiffness 8 kN/m from a height of 10 m. The deflection caused in the first fall is
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- Q.1) A 50 kg block is dropped from a height of 2 m onto the the 20 kg pan of a spring scale.Assuming the impact to be perfectly plastic, determine the maximum deflection of the pan.The constant of the spring is k = 20 kN/m.Q.2) Answer the following questions:a) Why does any person lean towards right while carrying a bag in her left hand?b) Give the physical significance of moment of inertia.c) Two satellites of equal masses, which can be considered as particles areorbiting the earth at different heights? Will their moments of inertia be same ordifferent?Q.3) A 5-kg model rocket is launched vertically and reaches an altitude of 100 m with a speedof 40 m/s at the end of powered flight, time t=5 s. As the rocket approaches its maximumaltitude it explodes into two parts of masses mA=1.7 kg and mB=3.3 kg. Part A is observed tostrike the ground 50 m west of the launch point at t=6 s. Determine the position of part B atthat time.Those data are for ouestions 12.136 14. The slender 8-kg bar AB is horizontal and at rest. The spring has an unstretched length sọ of 1 mand a spring constant of 15 N/m. the length of the bar AB is l-1.5m - - Find the elastic energy due to the spring when the bar has rotate clockwise 0 - 45° after being released. Give your answer with 2 decimals.Q1: If m=2 kg is released from A and slides down the inclined fixed rod in the vertical plane, p 0.3, R=0.6 m, 0 = 45. Determine (a) the velocity of the collar as it strikes the spring. (b) The max. Deflection of the spring. 2kg
- Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50 N/m, attached to a 50-kg block in an incline (0=30°). With the spring initially at equilibrium position, the block was pulled 0.3 meters down the incline by a 50-N external force applied parallel to the path. If the coefficient of kinetic friction is 0.3, determine the: a) normal force (in Newtons) b) work done by the spring (in Joules) wwwA 4.2‑kg brown hare walks on a horizontal beam (the beam's mass m = 2.8 kg and length a = 2.4 m). The beam is suspended with two ropes attached to the ends of the beam. What should be the distance between the hare and the left end of the beam so that the tension in the left rope is three times as big as the tension in the right rope? 1. The distance from the left end, b = If the hare is at the distance found in the previous question, calculate the tension in each rope. 2. The tension in the left rope, T1 = 3. The tension in the right rope, T2 = ------------------------------------------------------------------ A bike wheel has a radius of R = 0.62 m and a mass of m = 2.6 kg spins at 270 rpm. What is the angular momentum of the wheel? Assume that the wheel has a shape of a ring. The angular momentum of the wheel, L ? A typical bowling ball might have a mass of 7 kg and a radius of 12 cm. How fast the ball should spin to have the same angular momentum as the wheel from the…In the given beam, determine the following: 60 Ib/ft 120 lb 60 20 lb/ft A 3 ft 6 ft 6 ft The horizontal reaction at A is closest to: A. 60 kN (left) B. 103.923 kN (left) C. 103.923 (right) D. 60 kN (right) Answer: (write the answer in capital letter, no period or spaces) The vertical reaction at A is closest to: A. 200 kN В. 300 KN C. 204 kN D. 180 kN Answer: (write the answer in capital letter, no period or spaces) The vertical reaction at B is closest to: A. 200 kN В. 300 kN C. 204 kN D. 180 kN Answer: (write the answer in capital letter, no period or spaces)
- 3 kg collar released from rest from position A slides down inclined rod in vertical plane. constant 10 N force acts on collar during motion. Find maximum deflection of springN and is considered to be concentrated at G. The ladder also supports a vertical load of 150 at C. Compute the least value of (a) at which the ladder maybe placed without slipping to the left. 1m 4 m G 150 N 30 N A ladder 5 meters long rests on a horizontal ground and leans against a smooth vertical wall at an angle 70° with the horizontal. The weight of the ladder is 900 N and acts at its middle. The ladder is at the point of sliding, when a man weighing 750 N stands on a rung 1.5 m from the bottom of the ladder. Calculate the coefficient of friction between the ladder and the floor.A sheep with a mass (m) 50 kg is hung on an animal scale system which consist of a helical spring of negligible mass. The stiffness (k) of the spring is 60 kN/m. During the hanging operation, the spring and the sheep are displaced vertically by 20 mm below the equilibrium position. 1.1. Draw a free body diagram and proof that a total length (L) of the scale system 2mg can be expressed as: L = k + Lo, where as Lo is the unstretched length of the spring. 1.2. Calculate the frequency of natural vibration of the system. 1.3. Calculate the velocity and acceleration of the sheep when it is 10 mm below the rest position.
- Read the problem carefully and provide complete solutions with derivation of formulas (integrals and derivatives). Complete solution and units please. Use two decimal plaas for final" answers only. 1. a 50 kg man drops from a roof down to a trampoline which can be simplified as a spring with k = 2000 N/m. of the roof is 3m in height from the trampeline's surface, find the total deformation of the trampoline when the man stopt dropping down on the trampoline. Answer: 1.48mA sling shot was released in a vertical direction using a rubber band having an equivalent spring constant of 2N/mm. If the deflection of the rubber band amounts to 10cm and the mass of the stone is 21g, determine the maximum height (above the undeflected position of the sling) the shot can reach.3. The 450-kg uniform I-beam supports the load shown. Determine the reactions at the supports. 5.6 m + 24 m 220 kg 3/4 450 (9.81) N 14 1.6 2.4m 4 m Ax G By Ay 220 (1.81) N From EFx = 0, Ax =0 EMA =0: = 0: -450(1.81)4 - 220 (9.81)(5.6) + By (8) • o ) By = 3720 N ZFy = 0: Ay- 450(1.81)-220(1.81) +3720 = 0 Ay = 2850 N