Exercise 4.1. If the joint probability distribution of X and Y is given by r + y f(x, y) = 30 for r = 0, 1, 2, 3; y = 0, 1, 2, find (a) P(X < 2,Y = 1); (b) P(X > 2,Y < 1); (c) P(X > Y); (d) P(X +Y = 4).

Q: y = kx³ I 30 mm Fig. P5.15 30 mm 150 mm X

A: Locate the centroid of the plane area shown.

Q: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top…

A: In the engineering graphics we can draw both the 2 dimensional projection and 3 dimensional…

Q: 1" 5" 2" 1-Determine the location of the centroid (x,y) of the centroid. 2- Determine the Ix0 and…

A:

Q: Problem 3: A bracket of negligible weight shown in the figure below is loaded a force of 13.34 kN.…

A:

Q: Let F₁ = [F1] N. i) Express F₁ as a Cartesian vector. F₁ X 3 5 4 30° 45° F₂= = 450 N - y

A: To represent F1 as a Cartesian vector. F1 = 647 N

Q: ex (x+1)² +c

A: Write all numerators above the common denominatorUse  to expand the expression.

Q: Please find the centroid and Ixx for the following shapes. Show all work with neat handwriting and…

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Q: Prob 04: Locate the centroid of the plane area shown: 16 mm 6 mm 6 mm 9 mm 12 mm

A: To find the centroid-

Types of Composite

Composite materials are formed by merging two components that have different chemical and physical properties. The merged output is termed as a composite, whose properties are completely different from the individual components. Composite materials also have better strength than the individual components.Composite materials usually have two main parts, reinforcement material, and matrix material. The matrix material acts as a binder and surrounds the fiber of another material that bears a much higher strength. This material is known as the reinforcement material. The matrix materials are usually high-strength additives resins, while the fibers of the reinforced material can be random, oriented, and in a mat format.Composite materials are also known as fiber-reinforced composite polymers because they are composed of the polymer matrix which is reinforced to laboratory-created fibers or naturally occurring fibers, such as glass fibers, carbon fibers, or aramid fibers. Under the application of external loads, the matrix material absorbs and transfers the loads to the fibers, these fibers in return provide good compressive strength, tensile strength, and stiffness to the fiber-reinforced composite materials.Depending upon the matrix and the reinforcement material, different properties can be induced to the fiber-reinforced composite materials, including good corrosion resistance properties. The most common matrix material is the resin while the glass fibers act as the reinforcement material. Strong fibers provide strength and stiffness to the composite materials while, a soft and flexible resin provides shape to the composite materials.