Determine the x-, y-, and z-coordinates of the mass center of the body constructed of three pieces of uniform thin plate which are welded together. 285 mm 140 280 mm mm 55 mm 110 mm 165 mm Answers: X = i mm y = i mm i mm

Q: Determine the product of inertia of the Z section shown in the figure with respect to the centroidal…

A: To find product of inertia

Q: the center of part A measured from x-axis is (mm) 400 mm- 50 mm 200 mm 50 mm 50 mm Select one: O 225…

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Q: Solve for the: 1. Moment of inertia about x-axis (bottom-most) 2. Centroidal moment of inertia…

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Q: 2. A round bar of length L. modulus of elasticity E, and weight density y tapers uniformly from a…

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Q: For the plate in the figure below, determine a) The centroid of the area about the xr-axis (X). b)…

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Q: a B 9. Find the center of gravity M (x, y, z) of the three-dimensional homogeneous ABCD wire in the…

A: given a= 15 cm b= 27 cm

Q: a) Identify and locate the centroid, ỹ on axis x'- x' for the parts cross-sectional area in Figure…

A: Find centroid Y and moment of inertia about X'X' axis

Q: Q4: Determine the area moment of inertia about x-axis and the area moment of inertia about y-axis…

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Q: Determine R, and R2. 1000 lb 2000 lb 400 Ib/ft 200 lb/ft 5 ft R1 10 ft 10 ft R2

A: Applying moment equilibrium about R1, we can write: ∑M=0 [CCW +ve] ⇒1000 lb×5 ft+400 lb/ft×5…

Q: Determine the x-, y-, and z-coordinates of the mass center of the body cons 7.6" 5.6" 8.3" -y

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Q: Determine the x-, y-, and z-coordinates of the mass center of the body constructed of three pieces…

A: Determine the x-, y-, and z-coordinates of the mass center of the body constructed of three pieces…

Q: Find the centroid of the given figure y 3 in. 1 in. 1 in. a 2 in. -3 in.-3 in.

A: From the given figure, We have to find the centroid

Q: Example : Replace the three forces acting on the bent beam by a single equivalent force R. Specify…

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Q: Given: Structure shown below Find: (1) Coordinates of the centroid, C, of the cross-sectional area…

A: (1)  For vertical side  b1=18 mm and  d1=150 mmarea A1=18×150=2700 mm2⇒For horzontal side…

Q: Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by…

A: The dimensions of the wire are a= 20 cm, b= 30 cm

Q: Determine the x-, y-, and z-coordinates of the mass center of the body constructed of uniform…

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Q: The three forces shown is to be replaced by a single resultant force. Determine the distance d (in…

A: x, is the distance below point A to which single resultant force F acts. It can be done by taking…

Q: Determine the x-, y, and z-coordinates of the mass center of the body constructed of three pieces of…

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Q: Determine the radius of gyration of the cross-sectional area with respect to the x-axis. 400 mm 150…

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Q: By direct integration, determine the moments of inertia of the triangular area about the x- and…

A: The given figure is shown below:

Q: 1. The cross section shown in the figure is a structural member known as a z- section.Compute the…

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Q: x106 mm4. C dimension in mm is the height of the vertical The built-up beam shown in the fig…

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Q: 4. In the system of connected blocks, the coefficient of kinetic friction is 0.20 under bodies B and…

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Q: Determine the resultant and the direction (measured from positive x- axis) of the three forces…

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Q: No elements selected 75 N/m 800 N- m 8m L.

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Q: 11. Determine the center of mass of a rod of length, L, mass, M.

A: Given data- A rod of length L and mass M as shown below- To Find- It is needed to find out the…

Q: Determine the moment of inertia of the assembly about an axis that is perpendicular to the page and…

A: Given data The specific weight of material is 90 lb/ft3. The moment of inertia of the assembly can…

Q: х у The value of |2y + z y [2z + x [2x + y z is

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Q: Determine the x-, y-, and z-coordinates of the mass center of the body constructed of uniform…

A: Draw the figure. It is required to determine the length of member 1. L1=5.62+3.52=6.6 in

Q: A homogeneous, planar plate of constant thickness in the figure the coordinates of the centroid…

A: a= 9cm t = 3cm hence the actual figure will look like this

Q: Y x² + y² = r² X

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Q: 4. Determine the location of the centre of mass and moment of inertia of the assembly about the x…

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Q: 40 mm 30 mm 15 mm 24 mm 24 mm 27 mm A В

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Q: 1. State in words the condition for rotational equilibrium. 2. In exercise physiology studies, it is…

A: 1. The condition of rotational equilibrium is that the vector sum of all the moments acting on the…

Q: Calculate the values of S, Z and the shape factor for the cross section shown. 300 mm - 20 mm 20 mm…

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Q: Using the methods of this article, determine the surface area A and volume V of the body formed by…

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Q: |-1.5 in- -| 1.5 in. 1.5 in. 1,5 in. -1.5 in.-

A: Centroid is defined as the point about which the entire point of the section is acting the point.…

Q: Calculate the x-, y-, and z-coordinates of the mass center of the brac 105 mm 230 mm 110 mm 180 mm…

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Q: A circle of 150 mm diameter is incribed on a steel plate before it is stressed and then the plate is…

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Q: Piezometric head is the sum of O Velocity head and pressure head Pressure head and datum head O…

A: Piezometric head is sum of : Pressure head Datum head

Q: 60 Dimensions in mm - 3 in. -3 in. Problem #2 (40 pts) 6 in. For Figure 2, a) Determine the moment…

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Q: 10. Drag force is affected by a) Cross sectional area and smoothness b) Rigidity and density c)…

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Q: Find the centroid of the given figure y 3 in. 1 in. 1 in. a 2 in. -3 in.3 in.-

A: Find the centroid

Q: 4. Determine the location of the centre of mass and moment of inertia of the assembly about the x…

A:

Q: Determine the mass moment of inertia of the thin plate about an axis perpendicular to the page and…

A: The given figure is shown below:

Q: Determine the moment of inertia of the area shown about the x axis.

A: Consider the figure.

Q: Determine the x, y-, and z-coordinates of the mass center of the body constructed of three pieces of…

A:

Q: Determine the x, y, and z-coordinates of the mass center of the body constructed of three pieces of…

A: Given :         For part-1 : A1 = 460+200×160+260 = 277200 mm2X1 = 0 Y1 = 460+2002 = 330 mmZ1 =…

Q: 5. Determine the moment of inertia of the unequal 1-section about its centroidal Axes and find the…

A: Given data  A1 = 200 × 10 = 2000 mm2  A2 = 10 × 300 = 3000 mm2  A3 = 300 × 10 = 3000 mm2  Centroid…

Q: Determine the x, y, and z-coordinates of the mass center of the body constructed of three pieces of…

A:

Length and Length related Variables

Length can de defined as the measurement or extent of physical quantities or objects from one terminal to another terminal. Stone age humans used finger length, step length, and so on to measure the size or displacement of an object. Nowadays, depending on how precise the measurement requires to be and the object’s size is measured, we use measuring devices for measurements like rulers and steel tape. Most people have used a ruler or tape measure to measure a particular distance or the size of an object. For more precise measurements of tiny objects, the development of measurement tools such as the Vernier caliper, which permits us to measure dimensions within 1/1000 of an inch. In the last few decades, electronic distance measuring instruments (EDMI) have been implemented that permit us to measure distances from a few feet to many miles with reasonable accuracy.