The equations of motion of the airplane for straight-line climb, without roll angle, are: ○ V md. =T-D dt L-W=0 О V md- = T- W siny - D dt L - V md. W cos y = 0 =TW siny - D dt mvd = L _ W cos Y dt
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- Bodies A and B shown in the figure are connected to each other by two ropes. Body b is located on the frictionless surface. Acismi moves down from the stop position at T=0 with a constant acceleration of 100 mm/sec2. t = 2 sec how many mm do Bodies A and B move, respectively? в A Please select one: a.200 mm down, 50 mm right b.200 mm down, 200 mm right c.200 mm down, 800 mm right d. None of them e.200 mm down, 400 mm right! Show Full Solution ! *using CURVILINEAR MOTION Formula/s only! *use data given below Question: The box of negligible size is sliding down along a curved path defined by the parabola y = 0.4x2. When itis at A (xA = 2 m, yA = 1.6 m), the speed is v = 8 m/s and the increase in speed is dv/dt = 4 m/s2.Determine the magnitude of the acceleration of the box at this instant.KOREK KOREK + HW1 SOLUTION: The car travels in a horizontal IW circular path with a normal component of acceleration directed toward the center of the path.The forces acting on the car are its weight and a normal reaction from the road surface. • Resolve the equation of motion for the car into vertical and /90 = 18° Determine the rated speed of a highway curve of radius p = 400 ft banked through an angle 0 = 18°. The rated speed of a banked highway curve is the speed at which a car should travel if no lateral friction force is to be exerted at its wheels. normal components. • Solve for the vehicle speed. 11
- Problem Solving: ) A car is fraveling at the speed Vo on a Tevel road. After the brakes arc applicd at t- 0, the motion can be approximated by x where x is the distance traveled in mcters and t is the time in scconds. Find: (a) Find the value of Vo (6) Find the distance reguired for the car to straight, %3D 2. --t+ 17t 100 stop.Pbm 7) Elevators A and B in the adjoining shafts start moving in opposite directions with constant accelerations 0.3 m/s2 and 0.6 m/s² respectively. A moves down while B moves up. If they were 150 m apart at t = 0, after what time they will be opposite to each other? How far each one has travelled?3) The ME Department just purchased a new mega-drone that weighs 220 lbs and can descend autonomously to land on its own. The drone company included the graph shown below for how much force is applied to the Thrust 'T'. If the operator allows the autonomous descent when the drone has an initial downward velocity of 2 ft/s, calculate the velocity of the drone after 3 seconds. T, Ibf V = 2ft/s 260 t, (s) 5:57 PM O 57°F Mostly sunny 3/6/2022 99+ P Type here to search Del PrtScn FB Home F9 End F10 PgUp PgDn F12 F11 F6 F7 F5 F4 Esc F2 F3 F1 Backspace & @ %23 2$ % 8 4. Y U Q W
- 104 KINEMATICS AND DYNAMICS OF PLANE MECHANISMS 14. Draw the velocity and acceleration diagrams for the Andreau engine mechanism (Fig. 4-44), and determine vD, aD, ws, and as. A w2 2 60° O,A=4.75 in. O,B=6.5 in. AB=12 in. AC-13.25 in. . ВС-2 in. CD-14.5 in. 13 in. B 5 6D 12 in. FIG. 4-45 (Probs. 15 to 17) 15. Figure 4-45 illustrates the mecha- nism of Atkinson's engine. Determine VD by the method of instant centers; оз 3 10 гаd/sec, ссw. 16. Determine the velocity of D of Fig. 4-45, using the orthogonal-velocity method; wz = 15 rad/sec, ccw. 17. Construct the velocity and acceler- ation diagrams for the mechanism of Fig. 4-45, assuming that wa 15 rad/sec, ccw, const. A on 2 and 3 S on 4, coincident with A 2. O, 1 0, 45° Determine vD and ap. 18. Construct the velocity and acceler- ation diagrams for the Whitworth quick- return motion (Fig. 4-46), and determine Vc and ac. 0,0,-1.5 in. O,A-5 in. 0,B-3 in. Вс-12 in. Wg-6 rad/sec FIG. 4-46 (Prob. 18) Digitized by Google Original from…The follower has the motion: a rise with constant velocity motion curve during ø=150°. The angle for outer dwell isø. = 30° . And a return with constant acceleration and deceleration motion curve during ø'=120° . The angle for inner dwell is .' = 60°. Lift h=20mm Please draw the displacement diagram of the follower with your own scale by pencil and keep auxiliary lines.Learning Goal: In 1687, Isaac Newton presented three basic laws that describe the motion of a particle: • First law: A particle originally at rest, or moving in a straight line with a constant velocity, will remain in this state provided that the particle is not subjected to an unbalanced force. Second law: A particle acted upon by an unbalanced force, F experiences an acceleration, a, that has the same direction as the force and a magnitude that is directly proportional to the force. Figure 1 1 1 V 1 of 2
- Consider the hanging crane structure in Figure 1. Write the equations of motion describing the motion of the cart and the payload by using Newton's 2nd Law. The mass of the cart is M, the mass of the payload is m, the mass-less rigid connector has length L, and the friction is modeled as Fb(t) = -bx_ where x is the distance traveled by the cart. Hint: Use normal and tangential coordinate systems.Equation of Motion(NORMAL AND TANGENTIAL) Fn= Man Ft= Mat Given a 1400 kg car that travels along a road with increasing vertical profile y = 0.0003x². If the constant velocity of the car is 30 m/s. of the distance is at 210m, a. Determine the x-component of the velocity (m/s) of the car. b. Compute the total force (KN). a. Determine the x-component of the velocity (m/s) of the car. b. Compute the total force (KN). Hint: The slope of a line is equivalent to tanø where Ø is an angle measured from the x-axis.help! please write the complete solutions. Thumbs-up willl be given! DYNAMICS OF RIGID BODIES! A subway car leaves station A; it gains speed at the rate of 4ft /s2 for 6 s and then at the rate of 6ft /s2 until it has reached the speed of 48 ft/s. The car maintains the same speed until it approaches station B; brakes are then applied, giving the car a constant deceleration and bringing it to a stop in 6 s. The total running time from A to B is 40s. Determine the distance between stations A and B.