EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Chapter 3, Problem 3.45P
To determine
The equations of motion in terms of
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Calculate the cutting time for a 4 in length of cut, given that the feed rate is 0.030 ipr at a speed of 90 fpm.
for the values: M1=0.41m, M2=1.8m, M3=0.56m, please account for these in the equations. also please ensure that the final answer is the flow rate in litres per second for each part. please use bernoullis equation where needed if an empirical solutions i srequired. also The solutions should include, but not be limited to, the equations used tosolve the problems, the charts used to solve the problems, detailed working,choice of variables, the control volume considered, justification anddiscussion of results etc.If determining the friction factor, the use of both Moody chart and empiricalequations should be used to verify the validity of the value
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Chapter 3 Solutions
EBK SYSTEM DYNAMICS
Ch. 3 - Prob. 3.1PCh. 3 - A baseball is thrown horizontally from the...Ch. 3 - For the mass shown in Figure 3.1.3b. m=10 kg, =25...Ch. 3 - A particle of mass m=19 kg slides down a...Ch. 3 - A particle of mass m slides down a frictionless...Ch. 3 - A radar tracks the flight of a projectile (see...Ch. 3 - Table 3.2.1 gives the inertia IO for a point mass...Ch. 3 - A motor supplies a moment M to the pulley of...Ch. 3 - Figure P3.9 shows an inverted pendulum. Obtain the...Ch. 3 - The two masses shown in Figure P3.10 are released...
Ch. 3 - The motor in Figure P3.11 lifts the mass mL by...Ch. 3 - Instead of using the system shown in Figure 3.2.6a...Ch. 3 - Consider the cart shown in Figure P3.13. Suppose...Ch. 3 - Consider the cart shown in Figure P3.13. Suppose...Ch. 3 - Consider the spur gears shown in Figure P3.15,...Ch. 3 - Consider the spur gears shown in Figure P3.15,...Ch. 3 - Derive the expression for the equivalent inertia...Ch. 3 - Prob. 3.18PCh. 3 - The geared system shown in Figure P3.19 represents...Ch. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - For the geared system shown in Figure P3.23,...Ch. 3 - For the geared system discussed in Problem 3.23,...Ch. 3 - The geared system shown in Figure P3.25 is similar...Ch. 3 - Consider the rack-and-pinion gear shown in Figure...Ch. 3 - The lead screw (also called a power screw or a...Ch. 3 - Prob. 3.29PCh. 3 - Derive the equation of motion of the block of mass...Ch. 3 - Assume the cylinder in Figure P3.31 rolls without...Ch. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - A slender rod 1.4 m long and of mass 20 kg is...Ch. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - The pendulum shown in Figure P3.38 consists of a...Ch. 3 - Prob. 3.39PCh. 3 - A single link of a robot arm is shown in Figure...Ch. 3 - 3.41 It is required to determine the maximum...Ch. 3 - Figure P3.42 illustrates a pendulum with a base...Ch. 3 - Figure P3.43 illustrates a pendulum with a base...Ch. 3 - 3.44 The overhead trolley shown in Figure P3.44 is...Ch. 3 - Prob. 3.45PCh. 3 - The “sky crane” shown on the text cover was a...
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- Solve this problem and show all of the workarrow_forwardProblem 2: An athlete, starting from rest, pulls handle A to the left with a constant force of P = 150 [N]. Knowing that after the handle A has been pulled 0.5 [m], its velocity is 5 [m/s] to the left, determine: a) A position constraint equation using the given coordinate system. b) An acceleration constraint equation. c) The acceleration of A using kinematics equations. d) The acceleration of B using your constraint equation. e) How much weight (magnitude) the athlete is lifting in pounds using Newton's 2nd Law. You must draw a FBD and KD of the circled assembly, assuming the pulleys are massless. Note: 1 [lbf] = 4.448 [N]. ХА Увarrow_forwardProblem 1: For each of the following images, draw a complete FBD and KD for the specified objects. Then write the equations of motion using variables for all unknowns (e.g., mass, friction coefficient, etc.), plugging in kinematic expressions and simplifying where appropriate. Assume motion in all cases, so any friction would be kinetic. M (a) Blocks A & B (Be careful with acceleration of B relative to accelerating block A) 30° (b) Block A being pulled up my motor M (use rotated rectangular coordinate system) 20° (c) Ball at C, top of swing (use path coordinates) (d) Parasailer/Person (use polar coordinates)arrow_forward
- where M1=0.41m, M2=1.8m, M3=0.56m, please use bernoulis equation where necessary and The solutions should include, but not be limited to, the equations used tosolve the problems, the charts used to solve the problems, detailed working,choice of variables, the control volume considered, justification anddiscussion of results etc.If determining the friction factor, the use of both Moody chart and empiricalequations should be used to verify the validity of the value.arrow_forwardQ3. The attachment shown in Fig.2 is made of 1040 HR. Design the weldment (give the pattern, electrode number, type of weld, length of weld, and leg size). All dimensions in mm 120 Fig.2 12 17 b =7.5 5 kN 60 60°arrow_forward15 mm DA 100 mm 50 mm Assuming the load applied P 80 kN. Determine the maximum stress in the bar shown assuming the diameter of the whole A is DA = 25 mm.arrow_forward
- arch Moving to año Question 5 The head-vs-capacity curves for two centrifugal pumps A and B are shown below: Which of the following is a correct statement at a flow rate of 600 ft3/min? Assuming a pump efficiency of 80%. Head [ft] 50 45. 40 CHE 35. 30 25 20 PR 64°F Cloudy 4arrow_forwardI need help with a MATLAB code. I am trying to implement algorithm 3 and 4 as shown in the image. I am getting some size errors. Can you help me fix the code. clc; clear all; % Define initial conditions and parameters r0 = [1000, 0, 0]; % Initial position in meters v0 = [0, 10, 0]; % Initial velocity in m/s m0 = 1000; % Initial mass in kg z0 = log(m0); % Initial mass logarithm a0 = [0, 0, 1]; % Initial thrust direction in m/s^2 (thrust in z-direction) sigma0 = 0.1; % Initial thrust magnitude divided by mass % Initial state vector x0 = [r0, v0, z0] x0 = [r0, v0, z0]; % Initial control input u0 = [a0, sigma0] u0 = [a0, sigma0]; % Time span for integration t0 = 0; % Initial time tf = 10; % Final time N = 100; % Number of time steps dt = (tf - t0) / N; % Time step size t_span = linspace(t0, tf, N); % Discretized time vector % Solve the system of equations using ode45 [t, Y] = ode45(@(t, Y) EoMwithDiscreteMatrix(t, Y, u0, x0, t0, tf), t_span, x0); % Compute the matrices A_k,…arrow_forwardQ2) Determine the thickness of weld (h) for the figure shown below. when the Su= 410 MPa and factor of safety of 2. COR 50 200 60 F=2000Narrow_forward
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