For planar motion in the xy plane, the resultant applied moments in the x and y direction (Mrx and Mry) are zero. The terms in the time rate of change of rigid body angular momentum expression involving products of inertia (lxz and Iyz) are related to Mrx and Mry, so these terms disappear. As a result, rigid body planar rotational kinetics can be summarized by Mrz = Iz(alpha)k where alpha is the rigid body's angular acceleration and k is the unit vector in the z-direction, and I, is the moment of inertia about the z-axis through the point of interest. True False

For planar motion in the xy plane, the resultant applied moments in the x and y direction (Mrx and Mry) are zero. The terms in the time rate of change of rigid body angular momentum expression involving products of inertia (lxz and Iyz) are related to Mrx and Mry, so these terms disappear. As a result, rigid body planar rotational kinetics can be summarized by Mrz = Iz(alpha)k where alpha is the rigid body's angular acceleration and k is the unit vector in the z-direction, and I, is the moment of inertia about the z-axis through the point of interest. True False

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

If you know that the line of influence of the reaction force of the joint of the serration in the figure below lies along the member A To bring the truss into equilibrium under the action of force B, find its amount and the reaction of the joint CA .C at a point NΚ10 in vertical
ASAP
Given that the resultant moment vector along the negative x-axis is 500 Nm, find the value of F.
The two spheres A and B each have a mass of 400 g. The spheres are fixed to the horizontal rods as shown in (Figure 1) and their initial velocity is 2 m/s. The mass of the supporting frame is negligible and it is free to rotate. Neglect the size of the spheres. Figure -0.3 m S M 0.3 m B 1 of 1 Part A If a couple moment of M = 0.9 Nm is applied to the frame, determine the speed of the spheres in 3 s. Express your answer to three significant figures and include the appropriate units. V= Value Submit μA Provide Feedback Request Answer Units ?
A 5-kg rod of uniform cross section is used to form the shaft shown. Knowing that the shaft rotates with a constant angular velocity ω of magnitude 12 rad/s, determine (a) the magnitude of angular momentum HG of the shaft about its mass center G, (b) the angle formed by HG and the axis AB.
A rigid beam BC is suspended by rods AB and CD as shown in the figure. Rod AB is made from aluminum while rod CD is made from steel. Determine the location/ placement of the 75kN concentrated load within the beam BC such that the rigid beam BC will remain horizontal after deflection. Determine the axial deformation of rods AB and CD.
Determine the second moments with respect to The x- and y-axes shown on the figure. 200 mm 150 mm 45° 150 mm 200 mm
Given that resultant moment vector along the negative x-axis is 500 Nm, findthe value of F
Select all the correct assumptions about the Moment-Distribution Method. 1. The structures have members of constant cross section throughout their respective lengths. That is, the members are prismatic.2. The joints to which members are connected can rotate, but the ends of all members connected to a joint rotate the same amount as the joint. At a joint, there is no rotation of the ends of members relative to each other or to the joint. 3. Axial deformation of members is neglected. 4. The joints at which two or more members frame together do not translate. Excess or insufficient assumptions means wrong.
the forces on the gusset plate of a joint in a bridge truss act as shown. shown. Determine the values of P and F to maintain equilibrium of the joint ж 1000 в b to 300016 Jir Fine
Problem 2 It is desired to replace the 560 N force R acting on particle A with two forces P and Q which will produce the same external effect on A. The magnitude and direction of the component P are as shown. Determine the other component Q. R= 560 N 50° A 20° P= 270 N
Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: ox = (M.I,M,L)y+(M,I.-M.I.) (1,1₂-13/2) where My and M₂ are bending moments applied to a cross-section, and where ly, lz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (iii) A Z--section beam has the cross-section shown overleaf (see Figure QB2). The second moments of area of the section about the y and z axes are given as;; ly = 1.12x106mm² and I₂ = 2.87x106 mm4. Show that lyz = 1.35x106 mm² (use the parallel axis theorem). 100 60 10 y -10 10 60 Figure QB2 N (iv) Bending moments Mz = 2.0 kNm and My = 0 kNm act on a cross- -section of the beam of part (iii). Obtain an expression for the bending stress and sketch the orientation of the neutral axis with reference to the y and z axes. What is the maximum tensile value of the axial bending stress and where does it occur?