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- I need the answer as soon as possiblearrow_forwardSolve for part 3 only. ie Angular velocities of links AB and CD.arrow_forwardConsider the mechanism shown. Members PQ and QR are joined by a hinge at Q. End P of member PQ is pin-supported and end R of member QR is constrained to move along a horizontal surface. Member PQ rotates clockwise at a constant rate of 12 rad/s. Member QR rotates counterclockwise at a rate of 3.84 rad/s. Which of the following gives the closest value to the magnitude of the angular acceleration of rod QR? 9.16, 6.18, 1.609, 35.2 rad/s^2?? Which of the following gives the closest value to the magnitude of the acceleration of point R? 3.13, 9.89, 10.28, 12.88 m/s^2??arrow_forward
- The swinging frame of a balancing machine is shown in figure 1. The lever ACB has a mass of 6 kg and a radius of gyration of 75 mm about its centre of gravity which is at pivot C. The lever FD is of uniform section and has a mass of 1 kg. It carries a mass of 0,75 kg at E. The mass of the connecting link at BD may be ignored. The stiffness of the compression springs at A and B is 5,6 kg/m. Determine the frequency of vibration of the system. F 50 350 300 E 100 B D Fig. 1 mf SXA Free body diagram SXB Barrow_forwardThe figure below shows a landing gear mechanism for a light aircraft. The weight of the wheel is estimated approximately as 100 lb. Thus it is required to implement a motor capable to lift this weight during the retraction and extraction. The radius of gyration has been determined experimentally as 1.2 feet. In order to achieve a safe operation, a motor is selected adequately with an angular velocity of 3 rad/s, and an angular acceleration of 10 rad/s. It should be noted that such motor will be connected to the shortest link causing a counter clock wise rotation for the input link. Determine the following: a) Determine the closure loop equations. b) Determine the coefficients of the implicit function given as: Acos0, + Bsin0, +C=0 d) Derive an expression for the angular displacement of the coupler, and find its value. e) Derive an expression for the transmission angle and find its value. f) Determine the output angle. g) Using the closure equation find the velocity of point B h) Using…arrow_forwardIf answering hand written Please answer in cleararrow_forward
- Figure 5 shows a lever ABC pivoted at B and having a mass of 6 kg and a grinding radius of 75 mm at B. The lever GDF has a uniform section pivoted at G and has a mass of 1.2 kg. It carries a mass of I kg in F. The ECD chain has a mass of 1 kg and always moves on a vertical axis. It carries a mass of 1kg in E. K1 and K2 spring has a constant of 400 N/m and 1 kNm. Find the natural E K, 50 mm B C A K2 200 mm 300 mm 50 mm G F 350 mm 100 mm frequency of the system. Ignore all pendulum effects. [Ans: 14.68 rad/s]arrow_forwardA wheel is attached by a cable to a block The wheel has a radius of 2ft and weighs 300lbs, the block weights 20lbs. If the radius of gyration about the point of rotation of the disk is 1.5ft, how many revolutions will it take for the wheel to come to a stop assuming it was moving at 10 rad/s CW. Assume the block is on the left side of the wheel and thus causes a CCW moment.arrow_forwardThe figure shows a trolley of mass 10 kg that can move freely along a smooth fixed horizontal rail driven by a horizontal applied force, F. Pivoted to the trolley at A is a rigid link AB of mass 2 kg, length 1.5 m and inertia 0.38 kgm² about the centre of gravity of the link, which is located at the midpoint. The link is driven by a motor mounted on the trolley which applies an anticlockwise torque T to the link. When the link is at 30° to the horizontal and the mechanism is undergoing the motion shown in the figure determine the magnitude of the reaction force acting on the link at point A in the x and y directions. The positive sense for x and y is given in the figure, and gravity can be assumed to be 10 m/s². O O O F Rail B Rx = 6.94 N Ry = 21.7 N Rx = 14.29 N Ry = 10.15 N Rx = 19.62 N Ry= 22.48 N Rx = 32.05 N Ry = 45.00 N 30⁰ T w = 2 rad/s a = 1 rad/s² v = 0.5 m/s a = 0.5 m/s² garrow_forward
- The stepped roller in the rack is released from rest. The rope attached to the wall is tied to the 50 kg pulley as shown in the figure. Find the angular acceleration of the pulley. The reel plane rolls without slipping. The gyration radius k for the reel is given above 0.5 m.arrow_forwardA four wheeled trolley car has a total mass 3000kg. Each axle with its two wheels and gears has a total moment of inertia of 32kgm2. Each wheel is of 400mm radius. The centre distance between the two wheels on an axle is 1.4m. Each axle is driven by a motor with a speed ratio of 1.3. Each along with it gear has a moment of inertia of 16kgm2 and rotates in the opposite direction to that of the axle. The centre of mass of the car is 1m above the rails. Calculate the limiting speed of the car when it has to travel around a curve of 250m radius without the wheels leaving the road.arrow_forwardGiven: The gear shown moves on a fixed horizontal rack. The gear has mass m and a radius of gyration of k equal to its radius. The rod BC connected to the gear has length 1, and mass 2m with center of mass located at pt. G. The slider at B has negligible mass, and the attached spring has a spring constant k equal to mg/l. The system is released from rest in a vertical position (the bar BC is vertical). In this position, the spring is unstretched. The system has negligible friction and mass of the spring. k mrod G R mrod = 2m mgear = m l, I= mgear, k Find: Find the velocity of the point C on the gear after it has moved a distance of 1,/2 to the right.arrow_forward
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