Suppose a body of mass (m) falls from a height (h) under gravity. It lands on a frictionless spring with spring constant (k). Which of the following expressions represents the spring compression (length change) at the time the falling body has come to rest? O (mgh)/(k) (1/2)k1/2 ((mgh?)/(k)) 1/2 ((2mgh)/(k))1/2
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- 1- Find the velocity i and the position x as functions of the time t for a particle of mass m, which starts from rest at x =0 and t =0, subject to the following force functions: (a) F, = F.+ ct (b) Fx = F, sin ct (c) Fx = F, ed Where F, andc are positive constants.1- Find the velocity x and the position x as functions of the time t for a particle of mass m, which starts from rest at x =0 and t=0, subject to the following force functions: (a) F, = F. + ct (b) F = F, sin ct (c) F, = F, ed Where F, and c are positive constants.Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration). Drum diameter = 0.8m Mass of load = 3kg Initial velocitv = 0 m/s Time to descend = A secs 2. ( Distance travelled = 0.25m You have been asked to use this information to determine with 4 s.f. accuracy: Drum Cable a) The final linear velocity of the load b) The linear acceleration of the load Load c) The final angular velocity of the drum d) The angular acceleration of the drum e) The tension force in the cable f) The torque applied to the drum In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous.
- what is the tension T1 in a cord attaching a baby to a scale? what is the tension T2 in the cord attaching the baby to the ceiling? The mass of a rocket sled is 2100KG and the force of friction opposing the motion is 640N. The thrust for the sled is 25900N. What is the acceleration in Metres per second second? A 1140 KG artillery shell is fired from a battleship,.W,hile it is in the barrel of the gun, it experiences an acceleration of 2.2 x 10^4 m/s^2. what net force is exerted on the artillery shell before it leaves the barrel of the gun in Newtons. What is the magnitude of the force exerted on the ship by the artillery shell in Newtons?A block is held against a compressed string when it is released from rest. It then slides around a vertical loop without friction. The setup is shown. A www Rough Smooth A) In terms of the mass of the block m, spring constant k, radius of the loop, R, and the acceleration due to gravity, g. What is the minimum compression distance (from relaxed length) of the spring if the block is to make it around the loop without leaving the track? B) After exiting the loop, the block encounters a rough surface where the coefficient of kinetic friction between the block and the rough surface is µ. What is the minimum stopping distance on the rough surface needed if the block had the minimum speed to stay on the track from part a?pls send me answer of this question all the parts pls and i will rate you sure, pls solve a,b,c and d and also a and b A 200-kg dragster (racing car) exerts a constant force of 4000 N during a race. The coefficient of kinetic friction between the tires and the pavement is .15. If the drag strip is 1000 m long, determine:a. The net force on the dragster. b. The acceleration of the dragster. c. The time it takes for the dragster to finish the race.d. The dragster's velocity at the end of the race.The dragster now needs to slow down, so it opens a parachute. The force of air drag is 3500 N. The driver also locks the brakes of the dragster, and the coefficient of kinetic friction becomes .75. Determine:a. How long it will take to stop the dragster.b. The distance the dragster travels while stopping.
- A 5-kg object is acted upon by a horizontal force P=16t [N], where t is time in seconds. The coefficient of kinetic friction is = 0.18. At t = 2 s, the object's velocity is 5 m/s. Determine the velocity at t = 4 s. Use the Impulse- Momentum method. Provide the free-body diagram and show all work. fk PA structure has a mass of 10 kip/g and a stiffness of 10 kip/in. The acceleration of gravity, g, is 386.1 in/s2. Provide the period of the structure in seconds.Four identical springs are attached to a surface as shown. Determine the spring force, spring constant and stretch length in each case. Also determine the length at which the last mass will hang at rest. Note: Drawing is not to scale. Fs k unit unit unit 0.16m case 1 case 2 0.19m case 3 0.27m 6kg case 2 What is mass 2 (m2)? unit case 1 What is length 3 (L3)? La 9kg unit case 3 cannot be determined check answers Unit 23: final review, springs and oscillations Desmos Scientific Online Calculator using g= 9,81m/s, vd 343m/s & 24 96 www
- LR = 5m, LG = 2.5m and LC = 1.1m Q2. The Skylark family of sounding rockets consisted of a number of variants (denoted Skylark 5, Skylark 7, and Skylark 12 respectively). These are illustrated on Page 3. The data given below is based on that for the rocket motors they used (all manufactured and named by what was Royal Ordinance – now part of Roxel): Raven XI Motor Total mass: 1280 kg Length = LR See Case Table (units are m) Diameter = 0.44 m Goldfinch IIA Motor Total mass: 420 kg Length = LG See Case Table (units are m) Diameter = 0.44 m Cuckoo IV Motor Total mass: 242 kg Length = LC See Case Table (units are m) Diameter = 0.44 m The payload mass which is additional to the motor masses is to be taken as 100 kg. (a) For the configurations of the three rockets shown on Page 3 in Fig. Q2: (i) Determine the Pitching/Yawing moment of inertia of each rocket about the base of each rocket. (ii) Explain how you could then find the the Pitching/Yawing moment of inertia of each rocket about its…Hazel stands on the edge of a lookout admiring the view of a waterfall. The lookout is supported by a horizontal beam and a strut that makes an angle of 70° with the vertical. Hazel's mass is 60 kg 70° What is the horizontal force along the beam at the spot where she is standing? Use g = 9.81 m/s? for the acceleration due to gravity. Give your answer to the nearest Newton. Select one: a. 1721 N • b. 214 N c. 1617 N d. 626 N1- (KINETICS) An elevator weight 25 KN and is moving vertically downwards with a constant acceleration. Write the equation of the elevator cable tension. Starting from rest it travels a distance of 35 m during an interval of 10 s. Find the cable tension during this time. Neglect all other resistances to motion. What are the limits of cable tension?