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- Given: A shaft rotates about a fixed vertical axis at a constant rate of f, as shown below. A straight bar OA, having a length of L, is pinned to point O on the shaft, with O being on the rotation axis of the shaft. At the instant when 80, bar OA is being raised at a rate of 6 from the horizontal plane, with this rate changing at a rate of . A set of ryz coordinate axes is attached to bar OA with its origin at O. A second set of coordinate axes, XYZ, are fixed to ground. At the instant when = 0, the zyz and XYZ axes are aligned with each other. Find: For the instant when -0°, determine the angular velocity and angular acceleration of har OA. vertical shaft bearing O 8 X bar Use the following parameters in your analysis: f2=5 rad/s, é = 4 rad/s, 6-3 rad/s² and L=2 m.Dtes 6) Take a look at the picture below. Initially the system is at rest. The spring is activated and sends the mass moving with tangential speed "v" and the disk rotating with angular velocity "w". Find expressions for these parameters in terms of the variables given. Final I nitind At Rest Dişk Rolutes Sprivag: compressx a mass と szring Cons & ingetid velocty muss Rotafiond ふnertiu ofDk1 of 1 3. A four-bar linkage is shown below. (A) the directions of each. (B) E on link 3. Use the method of velocity vector polygons to calculate w, and wq. Report Find and report the magnitude and direction of the absolute velocity of point RAD = 10 cm, Rap = 15 cm, Ra = 60 cm; R = 65 cm; Rp = 15 cm W2 = 2 rad/s cw (Note: ADB and FEC are right triangles.) link 3 A. link 2
- 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 velocity = 0 m/s Time to descend = 0.5 secs Distance travelled = 0.25m You have been asked to use this information to determine: The final linear velocity of the load The linear acceleration of the load The final angular velocity of the drum The angular acceleration of the drum The tension force in the cable 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. From the formulae used (above) you should apply dimensional analysis techniques to develop two equations for power (in terms of linear velocity and angular velocity).(c) After some time, the drone approaches its target and releases a missile. The launch angle 8 = 30°, and the acceleration from the missile's engine is a constant am= 100g. Determine the following: • Derive equations for the missile's x- and y-positions as functions of time. To assist your derivation, consider the following: toetThis problem must be solved using the method of Instantaneous Center of Zero Velocity (IC method). 1) Find Va, VB, and wz when Link 2 = 2, Link 3 = 6, offset = -3, 02 = 60°, w2 = 8rad/sec 2) Find VA, VB, and wz when Link 2 = 3.5, Link 3 = 10, offset = 1, 02 120°, w2 = 8rad/sec 03 B Y Link 3 A Offset Link 2 02 04 = 90° %3D X 02 Slider position dThe plot below shows the acceleration of a mass placed at the end of a beam as it oscillates: 20 Which we model as: Acceleration (m/s²) 15 10 5 0 -5 -10 -15 -20 0.5 1 Wd 1 1.5 1 2 = wn√1 y(t) = Ae-3wnt sin(wat) y(t) = Ae-Ct sin 1 2.5 Time (s) = 2π T 2π T 1+ 3 2π We will use MATLAB to find the decay constant C and the period T. We can then use these to calculate the damping ratio and the natural frequency @n, using: 3.5 T 4 2 and C = {wn O data zeros peaks decay fit 4.5 Using the information above, derive the expression shown below for the damping ratio 3. 1 3 = 5(a) A large rotating cylinder uniformly increases in angular speed from rest to 0.180 rev/s in 35.0 s. What is its angular acceleration in radians per second per second? ?rad/s2 (b) The same cylinder again starts from rest and accelerates uniformly in the same time interval, but now the angular acceleration is double that found in part (a). What is true about the final angular speed? It is double the value given in part (a). It is the same as the value given in part (a). It is half the value given in part (a). It is quadruple the value given in part (a).Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 16 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 7 feet per second. Find the acceleration of the boat when there is a total of 20 feet of rope out. (Round your answer to three decimal places.) ft/sec² Need Help? Read It Not drawn to scaleP:0. O ZAVO a ll Asiacell HW3.pdf > HW3. Due date: Mid night of 4 March 2021 Q1) The concrete pier P is being lowered by the pulley and cable arrangement shown. If points A and B have velocities of 0.4 m/s and 0.2 m/s, respectively, compute the velocity of P, the velocity of point C for the instant represented, and the angular velocity of the pulley. 100 mm 200 mm Q2) The slotted arm pivots about O and maintains the relation between the motions of sliders A and B and their control rods. Each small pivoted block is pinned to its respective slider and is constrained to slide in its rotating slot. Show that the displacement x is proportional to the reciprocal of y. Then estab- lish the relation between the velocities va and eg. Also, if v, is constant for a short interval of motion, determine the acceleration of B. Q3) 16-45. Determine the velocity of rod R for any angle 6 of the cam C if the cam rotates with a constant angular velocity a. The pin connection at O does not cause an…" | 13% & 9:1A HW3.pdf > HW3. Due date: Mid night of 4 March 2021 a1) The concrete pier P is being lowered by the pulley and cable arrangement shown. If points A and B have velocities of 0.4 m/s and 0.2 m/s, respectively, compute the velocity of P, the velocity of point C for the instant represented, and the angular velocity of the pulley. 200 Q2) The slotted arm pivots about O and maintains the relation between the motions of sliders A and B and their control rods. Each small pivoted block is pinned to its respective alider and is constrained to slide in its rotating slot. Show that the displacement * is proportional to the reciprocal of y. Then estab- lish the relation between the velocities va and v Also, if v, is constant for a short interval of motion, determine the acceleration of B. Q3) 16-45. Determine the velocity of rod R for any angle 8 of the cam C if the cam rotates with a constant angular velocity s. The pin connection at O does not cause an interference with the motion…students for the The slider-crank shown was built by design Expo. In the position shown, crank AB is rotating at constant angular velocity @EB. The dimensions and parameters you are to use are provided in the table below. Determine the acceleration of collar C. Use the ICR method to find angular velocity of rod BC and the three-diagram method for the acceleration analysis. LAB LBC УАС WAB 2.5 8.0 5.0 4.0 УАС in in in rad/s WAB LBC LAB B