EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 9780100254961
Author: Palm
Publisher: YUZU
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Chapter 4, Problem 4.63P
To determine
The equation of motion.
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Homework#8
Homework#8
Box A has a mass of 15 kilograms and is attached to the 20 kilogram Box B using the cord and pulley system shown. The
coefficient of kinetic friction between the boxes and surface is 0.2 and the moment of inertia of the pulley is 0.5 kg * m^
2. After 2 seconds, how far do the boxes move?
A
бро
B
Chapter 4 Solutions
EBK SYSTEM DYNAMICS
Ch. 4 - Prob. 4.1PCh. 4 - In the spring arrangement shown in Figure P4.2....Ch. 4 - In the arrangement shown in Figure P4.3, a cable...Ch. 4 - In the spring arrangement shown in Figure P4.4,...Ch. 4 - For the system shown in Figure P4.5, assume that...Ch. 4 - The two stepped solid cylinders in Figure P4.6...Ch. 4 - A table with four identical legs supports a...Ch. 4 - The beam shown in Figure P4.8 has been stiffened...Ch. 4 - Determine the equivalent spring constant of the...Ch. 4 - Compute the equivalent torsional spring constant...
Ch. 4 - Plot the spring force felt by the mass shown in...Ch. 4 - Calculate the expression for the natural frequency...Ch. 4 - Prob. 4.13PCh. 4 - Obtain the expression for the natural frequency of...Ch. 4 - 4.15 A connecting rod having a mass of 3.6 kg is...Ch. 4 - Calculate the expression for the natural frequency...Ch. 4 - For each of the systems shown in Figure P4.17, the...Ch. 4 - The mass m in Figure P4.18 is attached to a rigid...Ch. 4 - In the pulley system shown in Figure P4.19, the...Ch. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - In Figure P4.23, assume that the cylinder rolls...Ch. 4 - In Figure P4.24 when x1=x2=0 the springs are at...Ch. 4 - 4.25 In Figure P4.25 model the three shafts as...Ch. 4 - In Figure P4.26 when 1=2=0 the spring is at its...Ch. 4 - Prob. 4.27PCh. 4 - For the system shown in Figure P4.28, suppose that...Ch. 4 - For the system shown in Figure P4.29, suppose that...Ch. 4 - Prob. 4.30PCh. 4 - For Figure P4.31, the equilibrium position...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - 4.34 For Figure P4.34, assume that the cylinder...Ch. 4 - Use the Rayleigh method to obtain an expression...Ch. 4 - Prob. 4.36PCh. 4 - 4.37 Determine the natural frequency of the system...Ch. 4 - Determine the natural frequency of the system...Ch. 4 - Use Rayleigh's method to calculate the expression...Ch. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - The vibration of a motor mounted on the end of a...Ch. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - A certain cantilever beam vibrates at a frequency...Ch. 4 - Prob. 4.47PCh. 4 - 4.48 The static deflection of a cantilever beam is...Ch. 4 - Figure P4.49 shows a winch supported by a...Ch. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Prob. 4.52PCh. 4 - 4.53 In Figure P4.53 a motor supplies a torque T...Ch. 4 - Derive the equation of motion for the lever system...Ch. 4 - Prob. 4.55PCh. 4 - Figure P4.56a shows a Houdaille damper, which is a...Ch. 4 - 4.57 Refer to Figure P4.57. Determine the...Ch. 4 - For the system shown in Figure P4.58, obtain the...Ch. 4 - Find the transfer function ZsXs for the system...Ch. 4 - Prob. 4.60PCh. 4 - Find the transfer function YsXs for the system...Ch. 4 - Prob. 4.62PCh. 4 - 4.63 In the system shown in Figure P4.63, the...Ch. 4 - Prob. 4.64PCh. 4 - Figure P4.65 shows a rack-and-pinion gear in which...Ch. 4 - Figure P4.66 shows a drive train with a spur-gear...Ch. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Figure P4.70 shows a quarter-car model that...Ch. 4 - Prob. 4.71PCh. 4 - 4.72 Derive the equation of motion for the system...Ch. 4 - A boxcar moving at 1.3 m/s hits the shock absorber...Ch. 4 - For the systems shown in Figure P4.74, assume that...Ch. 4 - Refer to Figure P4.75a, which shows a ship’s...Ch. 4 - In this problem, we make all the same assumptions...Ch. 4 - Refer to Figure P4.79a, which shows a water tank...Ch. 4 - The “sky crane” shown on the text cover was a...Ch. 4 - Prob. 4.81PCh. 4 - Prob. 4.82PCh. 4 - Suppose a mass in moving with a speed 1 becomes...Ch. 4 - Consider the system shown in Figure 4.6.3. Suppose...Ch. 4 - Prob. 4.86PCh. 4 - Figure P4.87 shows a mass m with an attached...Ch. 4 - Figure P4.88 represents a drop forging process....Ch. 4 - Refer to Figure P4.89. A mass m drops from a...Ch. 4 - Prob. 4.90PCh. 4 - (a) Obtain the equations of motion of the system...Ch. 4 - Refer to part (a) of Problem 4.90. Use MATLAB to...Ch. 4 - Refer to Problem 4.91. Use MATLAB to obtain the...Ch. 4 - 4.94 (a) Obtain the equations of motion of the...Ch. 4 -
4.95 (a) Obtain the equations of motion of the...
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- Box A has a mass of 15 kilograms and is attached to the 20 kilogram Box B using the cord and pulley system shown. The coefficient of kinetic friction between the boxes and surface is 0.2 and the moment of inertia of the pulley is 0.5 kg * m^2. Both boxes are 0.25 m long and 0.25 m high. The cord is attached to the bottom of Box A and the middle of box B. After 2 seconds, how far do the boxes move? A From бро Barrow_forwardSign in PDF Lecture W09.pdf PDF MMB241 - Tutorial L9.pdf File C:/Users/KHULEKANI/Desktop/mmb241/MMB241%20-%20Tutorial%20L9.pdf II! Draw | I│Alla | Ask Copilot + 4 of 4 | D TQ9. If motor M exerts a force of F (10t 2 + 100) N determine the velocity of the 25-kg crate when t kinetic friction between the crate and the plane are μs The crate is initially at rest. on the cable, where t is in seconds, 4s. The coefficients of static and 0.3 and μk = 0.25, respectively. M 3 TQ10. The spring has a stiffness k = 200 N/m and is unstretched when the 25-kg block is at A. Determine the acceleration of the block when s = 0.4 m. The contact surface between the block and the plane is smooth. 0.3 m F= 100 N F= 100 N k = 200 N/m σ Q Q ☆ ا الى 6 ☑arrow_forwardmy ID# is 016948724 please solve this problem step by steparrow_forwardMY ID#016948724 please solve the problem step by spetarrow_forward1 8 4 For the table with 4×4 rows and columns as shown Add numbers so that the sum of any row or column equals .30 Use only these numbers: .1.2.3.4.5.6.10.11.12.12.13.14.14arrow_forwardMY ID# 016948724 please solve this problem step by steparrow_forwardThe pickup truck weighs 3220 Ib and reaches a speed of 30 mi/hr from rest in a distance of 200 ft up the 10-percent incline with constant acceleration. Calculate the normal force under each pair of wheels and the friction force under the rear driving wheels. The effective coefficient of friction between the tires and the road is known to be at least 0.8.arrow_forward1. The figure shows a car jack to support 400kg (W=400kg). In the drawing, the angle (0) varies between 15 and 70 °. The links are machined from AISI 1020 hot-rolled steel bars with a minimum yield strength of 380MPa. Each link consists of two bars, one on each side of the central bearings. The bars are 300mm in length (/) and 25 mm in width (w). The pinned ends have the buckling constant (C) of 1.4 for out of plane buckling. The design factor (nd) is 2.5. (1) Find the thickness (t) of the bars and the factor of safety (n). (2) Check if the bar is an Euler beam. Darrow_forward(Read image)arrow_forwardUNIVERSIDAD NACIONAL DE SAN ANTONIO ABAD DEL CUSCO PRIMER EXAMEN PARCIAL DE MECÁNICA DE FLUIDOS I ............ Cusco, 23 de setiembre de 2024 AP. Y NOMBRES: ........ 1.- Para el tanque de la figura: a) Calcule la profundidad de la hidrolina si la profundidad del agua es de 2.8 m y el medidor del fondo del tanque da una lectura de 52.3kPa. b) Calcule la profundidad del agua si la profundidad de la hidrolina es 6.90 m y el medidor de la parte inferior del tanque registra una lectura de 125.3 kPa. Hidrolina Sp=0.90 Abertura Agua sup suge to but amulor quit y 2.- Calcule la magnitud de la fuerza resultante sobre el área A-B y la ubicación del centro de presión. Señale la fuerza resultante sobre el área y dimensione su ubicación con claridad. 3.5 ft 12 in: Oil (38-0.93) 14 in 8 inarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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