Part 1: Translation mechanical systems: 2.5 (a) Draw a complete free-body diagram for all the elements...
ME 351: Problem Set 2: Mechanical Systems For the systems shown below: a. Find the free body diagram showing all forces (including the initial spring forces). Also label the b. positive direction of all displacements and rotations on the free body diagram. Find the governing differential equation (including the initial spring forces). Express the differential equation in standard form (Output and its derivatives in descending order on the left hand side of the equation, Input and its derivatives in descending...
Tutorial Problem Draw the free-body diagram and derive the equation of motion in terms of 0 using Newton's second law of motion of the systems shown in Figure below. Derive the equation of motion using the principle of conservation of energy Pulley, mas moment of inertia at) Tutorial Problem Draw the free-body diagram and derive the equation of motion in terms of 0 using Newton's second law of motion of the systems shown in Figure below. Derive the equation of...
Problem 2: Transfer Functions of Mechanical Systems. (20 Points) A model sketch for a two-mass mechanical system subjected to fluctuations (t) at the wall is provided in figure 2. Spring k, is interconnected with both spring ka and damper Os at the nodal point. The independent displacement of mass m is denoted by 1, the independent displacement of mass m, is denoted by r2, and the independent displacement of the node is denoted by ra. Assume a linear force-displacement/velocity relationship...
a. Draw a complete free-body diagram for the beam shown in Fig. 1. Must show and label x-y coordinate system, support reactions, loads, and dimensions b. Derive formulas for all support reactions using conditions of equilibrium. Must show all work. c. Using the student variables shown below, calculate beam support reactions and draw shear and bending moment diagrams. To receive full credit, support reactions and loads must be shown on a free-body diagram. Each shear and bending moment diagram must...
1. Your car is sitting in the parking lot. Draw a free body diagram of the car with a coordinate system. Write Newton's 2nd laws for the car. 2. A skater glides to the right across frictioniess ice. Draw a free body diagrarp of the skater with a coordinate system. Write Newton's 2nd laws for the skater. Hint: The skater is gliding/sliding so he is not applying any force. Fals 3. An elevator, hanging from a cable, descends at steady...
A quarter-car suspension model consisting of a spring and a damper is shown in Figure 1. An active suspension element produces an input force F. Draw a free-body diagram for the sprung mass m, and hence derive a differential equation relating the input force F to the sprung mass displacement x. (a) (5 marks) (b) Assuming a mass m-250kg, spring coefficient k 100Nm-1 and damping coefficient of c-50Nsm1, show that the transfer function from the input force F to the...
- Draw a "complete" free body diagram for the system. Inclusing coordinates of x & y. Label normal force, weight, kinetic friction, etc - Create an acceleration equation for M4 - Solve for the accleration of M4 algebraically - Evaluate your answers if both thetas equal 90 degrees and if m1, m2, and m3 are in the same height. Note: kinetic friction ?k1 exists on M1 and ?k2 exists on M2 only
draw a free body diagram, explain why the forces of friction are in the directions drawn, a derive an equation of motion for mass A and mass B, in terms of acceleration and Tension (T) Exercise C. A pulley problem (10 points) In this problem we are interested in the pulley-mass system shown in Error! Reference source not found. Treat both mass A and mass B as particles. ma = 1300 kg mg = 400 kg HA=0.06 HB = 0.13...
solve for 1,and 2 Based on the figure below, 1) Draw free body diagram 2) Set up two differential equations based on M and M2! B M. M, f,(t): Input
Figure 1: 1) Please draw the free-body diagram of mass M in Figure 1(a). The diagram should include the pulling force F, gravitational force Mg, normal force N, and friction force fk. 2) Consider the graph in Figure 1(b). Please explain why the average of pulling force F in Region (ii) can be regarded as the kinetic friction force fx. (You may refer to the free body diagram in Question 1.) F个 (i) rest constant speed Force sensor h. 1)...