Question 2: The young modulus of the shaft shown in figure below is 80 GPa Diameter of the shaft AB (part 1) is 55 mm and for shaft BC (part 2) is 40 mm. knowing that the allowable shear stress is X2 MPa and angle of twist at point e is 3°. Calculate the maximum torque that can be transmitted at point e. |

Q: Compute the coordinates of the centroid (7,5) of the area shown. Also compute the area moment of…

A: Given: a=14 mm b =113 mm c=18 mm d =49 mm h=99 mm w=14 mm Required: x and y coordinate of centroid…

Q: d If y= In (sin x), which of the following represents In ( sin x)? dx (A) tan x (B) sin x cot x D)…

A: Given  y = ln(sinx)

Q: The bent rod shown below consists of two straight parts along x and y- axes and a half-circle in…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Solve the boundary value problem of y" +25y = 0 where boundary conditions y' (0) = 6, y' (π) = -9

A:

Q: (b) A well penetrates an unconfined aquifer. The water level in the well prior to pumping was 14 m.…

A: Step 1

Q: Evaluate the following integrals using integration by parts. x5e* dx |x3 In x dx -2x sin 2x dx

A: Hi there!! since you have asked multiple questions, we will solve the first question for you. If you…

Q: A triangle inscribed in a semi-cirice with radius r shown below. Locate the centroid from point O.…

A:

Q: Determine the distance z̅ to the centroid of the shape that consists of a cone with a hole of height…

A: This problem is based on centroid  of a conical shape. At this point whole mass of body is supposed…

Q: (a) Express each force in Cartesian vector form (b) Determine the magnitude and coordinate direction…

A: given data,Find1) each force in cartesian vector form2) magnitude and co-ordinate direction angles…

Q: / Find the area of the region that lies inside r =6 sin0 and outside r=2+2sin0

A:

Q: Find the centroid of the figure shown.

A:

Q: If x0 . determine the sign ofreal number a=xy b= x-y

A: Given: x<0 and x is considered to be negative y>0 and y is considered to be positive

Q: Solve for the resultant of the 2 vectors F1 and F2. Express in polar and cartesian vector notation.

A:

Q: 71. Find the maximum volume of a rectangular prism that can be inscribed in a sphere of radius 12…

A:

Q: 3 Using the parallel axis theorem, determine the moment of inertia about the xxis for the same shape…

A:

Q: Q1 Choose the right values of X which satisfy the following inequalities* a) ->2 |2r+3

A: The detailed solution is...

Q: sn't it supposed to be 0.13 in c? I have used the solution of:   15C1 x (0.01)^1 x (0.99)^1-1 =…

A: Answer  As per Normal distribution, We know that Probability that a one day rainfall of magnitude of…

Q: y (NOT IN SCALE) Determine the direction of angles of a force vector F, where 01 : 30°, c = 1.73205,…

A: Given, θ1=30°c=1.73205d=1|F→| = 360 N

Q: A triangle inscribed in a semi-cirlce with radius r shown below. Locate the centroid from point O.…

A:

Q: y = h -b

A: Given, y=hb2x2

Q: Plot the given pair of points on a Cartesian plane, draw a straight line between them and determine…

A: Subpart 1: The following figure shows the points in Cartesian Plane and the straight line connecting…

Q: W Find the area of the region that lies inside r=6 sin0 and outside r =2+2sin0

A:

Q: A certain area has the following propert x = 45 x 10^6 mm^4 y = 110 x 10^6 mm^4 xy = 45 x 10^6 mm^4…

A:

Q: It is a set of points at distance of 3 above the the x - axis. Find its equation. Select one: O a. y…

A: Given- Distance of 3 above X-axis. To find- Equation of the line.

Q: Find the differential equation of x (x + 2y) dy + (4xy + 3y^2-x) dx = 0

A:

Q: a is arbitrary 1. let x=1, y=2 4y^2=ax b is arbitrary 2. let x=1, y=2 x+2y=b

A:

Q: Calculate

A:

Q: find the point on the sphere x^2 + y^2 + z^2= 1 which is at the greatest distance from the point…

A: So, point on the space which will have greatest distance from (1,2,2) is (-1/3, -2/3, -2/3) as they…

Q: 5 ₁ + 154.8555k) (01 + 154.8555

A:

Q: 1 Determine dy/dx given y = (2u² – 1)7 if u = x + 2

A: To determine the derivative w.r.t. x.   Given, y=2u2-157, and u=x+12   First we must transform the…

Q: 5. Determine the x component of the centroid of the given area. y A 2 y = x y=1.44-x B X

A: we have given equations y2 = x  , y = 1.44 - x    At mid of the given area, point C…

Q: Question 8 a. Given the Linear Programming Problem below, construct the dual of the problem. Min…

A:

Q: Find for f'(x) f(x) = e* – sin(rtx/3) f(x) = x – 2x – 2x +1

A:

Q: I cut into 3 segment. Area: 4*1= 4 in^2, 4*1= 4 in^2, 10*1= 10 in^2

A: Determine the moment of inertia of the "Z" section with respect to the x and y centroidal axes. Ix =…

Q: Determine the centroid of the area shown relative to the x-axis and y-axis,each small square is 2cm.…

A:

Q: there is a problem in question a : R=by/b+2y not only b+2y

A: Q=100m3/s y=1.5m n=0.012 S=0.0002 b=?

Q: Locate the centroid of the figure below from x and y axis. a 30 in b 17 in 10 in d 5 in e 18 in e x2…

A:

Q: Determine the differential equation of the family of y = A1e^x+ A2e^-2x

A: Given data: y=A1ex+A2e-2x

Q: Determine: a) Location of the centroid of the triangle   *use 3 decimal places

A:

Q: 9. Find the exact value (no rounding) for sin 0 and cos 0 for the given right triangle WITHOUT…

A:

Q: 3- Find I, and I, around the N.A. of the section shown in the figure. 300 mm 10 mm 10 mm 10 mm X

A: Given,  Channel section along with its dimensions   To find : Ix and Iy about neutral axis

Q: Determine the best fit curve for the function y = ax + b 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.123 0.234…

A: The answer is found to be 1. a=1.11 2. b=0.012 3. y=1.11x+0.012 For explanation please see the…

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.