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- Q. For the Shown mechani l system, Find Hthe reledion between F and X Youd Xx Then draw the block diagram. M, K, MA K2Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.8 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. A force P is applied at an angle =39 to a 311-kg cart. 0.4 m 0.3 m 0.08 m The acceleration of the cart is 2 m.s-². G B 0.2 m 0.3 m 1. What is the magnitude of the force P (answer on your hand-written work and in the cell below)? 2. What are the reaction at A and B?Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.8 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. A force P is applied at an angle 0 =51 to a 869-kg cart. The kinetic friction coefficient on wheels is 0. P 0 0.4 m 0.3 m 0.08 m The acceleration of the cart is 1.2 m.s2. G B 0.2 m 0.3 m 1. What is the magnitude of the force P (answer on your hand-written work and in the cell below)? 2. What are the reaction at A and B?
- Q4) In Fig.2, The location of the tool, 77 is not accurately known. Using force control, the robot feels around with the tool tip until it inserts it into the socket (or Goal) at loca- tiongr. Once in this "calibration" configuration (in which (G) and (T) are coincident), the position of the robot, is figured out by reading the joint angle sensors and com- puting the kinematics. Assuming T and T are known, give the transform equation to compute the un- known tool frame,T. 2 Fig.2The equation of motion of a simplified model mechanical system is given below. of a m, o X₁ ki+k₂ k₂ O +1 NA 1/2 FU 10 ma -k₂ k₂ | k₂ = 10,000 N m₁ = 40 kg / m₂ = 130 kg, k₁ = 20,000~ m 0 a) Natural Freequency b) Find the mass normalized mode shapes of the system. c) Drave the mass normalized mode shapes.Four masses A, B, C and D as shown below are to be completely balanced. Find the followings: v The axial distance between the planes of rotation of B and C(mm) v The magnitude and angular position of mass of Mp{Kg) v The angle between mass A and D (LAOD-7degree) A B. D 80 Mp Mass (kg) Radius 125 150 100 (mem) 50 60 200 120 A B 115mm
- Fundamental.9 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.9 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. The uniform 19 lb beam is initially at rest when the forces FA applied at A (on its left hand-side) is vertical and FB applied at B (on its right hand-side) forms an angle 0=56° with the horizontal. FA FB A В. B 0 12 ft Determine FA (answer in the cell bellow) and FB to make sure that: • the beam has no angular acceleration • its horizontal horizontal acceleration is 1.6-times smaller than its vertical accelerationGet the equation of motion by drawing the free body diagram of the given systems. a) Get the system's transfer function and find the unit digit answer. Show all decals in detail. m = 1 kg b= 20 Ns/m k = 125 N/m F ww k b) get the transfer function of the system. X(s)/Pg(s) =? Show all decals in detail. resistance R k Pg massless piston area (A) capacitanceFundamental.7 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy ...) will be automatically considered false. For the problem related to Fundamental.7 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. B r C The pendulum bob B has a weight of 5lb and is released from rest in the position shown, 0 =0°. Determine the tension in string BC of length r = 5 ft at the instant the bob reaches point D, =7º.
- Fundamental.7 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy ...) will be automatically considered false. For the problem related to Fundamental.7 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. B The pendulum bob B has a weight of 3lb and is released from rest in the position shown, 0 =0°. Determine the tension in string BC of length r = 4 ft at the instant the bob reaches point D, =4°.Fundamental.7 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy ...) will be automatically considered false. For the problem related to Fundamental.7 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. At the instant 0=50 degrees, the boy's center of mass G has a downward speed VG =11-ft/s. Determine: l-ft G • the rate of increase in his speed, • and the tension in each of the two supporting cords of the swing at this instant (put your answer in the cell below) The boy weights 42-lb. The rope length is 11-ft. Neglect his size and the mass of the seat and cords.Fundamental.7 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.7 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. Z Lft 0 The 6-lb man lies against the cushion for which the coefficient of static friction is 0.7. The angle the cushion has is 56° Determine the smallest angular velocity he rotates about the z-axis, at L=9-ft from G, to ensure the man will not slip.