4.14. Calculate l,, ly, Iy for the symmetric Z-section of Figure P4.8

Q: Figure Q2 shows a system composed of a rod of inertia I, free to rotate about the hinge at point O…

A: Given : To find : Equations of motion

Q: 1. Draw and write the force equation of the linear translational system shown, and find the transfer…

A:

Q: BC = 3 in BD = 2 in @₁ Do 1 2 in 0=30° FIGURE P3.3

A: given; radius(r)=O1B                =2in                 =0.0508mBC=3in       =0.0762mBD=2in…

Q: 6) For the system shown, assume x-y-z is the inertial frame. If the bar first twists around A about…

A: The rotation about z axis is The rotation about x axis is .

Q: Analytically determine the linear displacement of the piston in the compressor linkage shown in…

A:

Q: Find an LU decomposition of: x+y+z=3 2x-y-z=3 x-y+z=9

A:

Q: 4.68. For what frequencies will x3 = 0 for the system illustrated in Figure P4.68? f in k3 m1 m2 m3…

A: Given: value of X3=0 means there is no movement of mass m. Now writing equation of motion for mass…

Q: 10 Find the determinant of MatriIx M using the Laplace Expansion oft Cofactor Method -2 31 M = -5 4…

A:

Q: Q2. A damped masS-spring oscillator consist of a mass m attached to a spring fixed at one end, as…

A: Given,  A damped oscillating system . m = 36 kg b = 12 Ns/m k = 36 kg/sec2.

Q: Jse the en gy metnod to del ng the quations of notioi for systems n Fig. 3, 4. Then calculate the…

A: We  have given the problem

Q: Consider the two-rod linkage in Figure 4.24. A configuration (A,B) of this linkage is a singular…

A: To determine the singular configurations of the two-rod linkage, we need to find the configurations…

Q: For the translational mechanical system shown in the figure: i.) Construct the free-body diagrams.…

A:

Q: D.I 4.5-8. Consider the following problem. Maximize Z = 50x1 + 25x2 + 20x3 + 40x4, subject to 2x1 +…

A:

Q: For the given 2D element shown in the diagram with positions A = 5 m and B = 5 m, answer the…

A:

Q: A rectangular plate with a V-notch is shown in Fig. 2.29. Model the plate using triangular elements…

A: Given : To find : Model the plate using triangular elements

Q: C4.4 The cantilever beam AB of length L carries a distributed loading w that varies with the…

A:

Q: Q4/ For the figure below the spring is used to stop a 10 kg package. If the maximum deflection in…

A: The system will continue to do work until it has exhausted its kinetic energy & potential energy…

Q: (s) (s + 15)(s² +4s + 100) a. 0 (s + 4)(s² + 2s + 90) b. G(s) =

A:

Q: For the simple pendulum shown in the figure, write the governing equation in s-domain. Assume smal…

A: Given:To find:Governing equation in s domain

Q: echanism shown in figure P4.9, determine (a) the velocity of point 3 (b) the sliding

A: r02A = 6 cmrAB = 12 cmrBC = 9 cmθ1 = 315∘θ2 = 180 rpm  Angular velocity = 2 π N60 = 2 π 18060…

Q: Exercise: 1 X₁ G₁ H₂ G₁ G₂ X₂ GA Q: Find the transfer function of this system H₂ 1 X₂ Y

A:

Q: 5- When the force is a function of distance we can obtain the concept of d: Terque : Terminal…

A: When force is a function of distance, we obtain the concept of kinetic and potential energy.

Q: Answer D

A:

Q: Determine the rotational speed of link 3 of the mechanism given in figure P4.8 for the position…

A:

Q: 3. For the Laplace equation,-²u = 0, on a rectangular domain shown in figure, give the global…

A: Given:To find:Write the global condensed equation.

Q: QUESTION 6 Let fv1 and fv3) in K1 and K3 locations respectively in the figure. No K1 and K3.…

A:

Q: 1-The tension in cable AC is: F 24 7 D 4 4 3 A В Crate /////// 3.

A: Draw a free-body diagram of the crate.

Q: 3. Use Lagrange's equation to derive the equation of the motion of the following: system in matrix…

A: Given,

Q: solve using Tip of tail method, parallelogram method, and triangle method

A: We draw the tip tail method, and  parallelogram based on the give two vectors

Q: D,I 3.4-5. Use the graphical method to solve this problem: Minimize Z = 15x, + 20x,, subject to X +…

A:

Q: P4.1 Consider the system in Figure P4.1. ke Figure P4.1 Undamped 2DOF system with coupling stiffness…

A:

Q: 4.68. For what frequencies will x3 = 0 for the system illustrated in Figure P4.68? -f k1 k2 k3 m2 m3…

A: Given : To find : Frequency at which x3 = 0

Q: Y-axis L1 L2 01 01+02 X-axis Fig. Q4. What are the coordinates of point P given the following…

A:

Q: Derive the kinetic energy equations and the mass equivalents of the two-system shown. -Thin disk of…

A:

Q: Find the mass matrix and stiffness matrix of the system shown in Figure K3 82 K2

A:

Q: 4- If p = y + xz , then curl grad o is equal to: a: - 2j b: 25 e: 2 d: zero 5. We can ohtain the…

A:

Q: [₂X₁th X₁ + R₂ (X₁-X) + K₁X₁=0 < for M₂ The displacements x₁ and x₂ are measured from their…

A:

Q: 4.8 Attach body-fixed coordinate systems to bodies 2 and 3 in Fig. P.4.8 with their origins at C₂…

A: Constraint equation :                A Constraint equation can be defined as constant relationship…

Q: G3 R(s) C(s) G2

A:

Q: D 3.4-5. Consider the following problem, where the value of c has not yet been ascertained. Maximize…

A: Givenmaximize Z=c1x1+2x24x1+x2≤12x1-x2≥2andx1≥0  , x2≥0

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.