Find the sentroid of the plane area shown below. Show all the calculations. In.

Q: which is given. What are the x and : coordinates of the bracket's mass cen- ter? (The angle 0 in the…

A: To Find :  The x and z coordinate of the bracket mass . Given :  The total number of hole is n=4 The…

Q: a) Evaluate the surface area of a paraboloid :=4-2-y that lies above the ry-plane.

A: Given that  To evaluate the surface area of paraboloid z= 4- x2 - y2  that lies above the XY plane

Q: Find the resultant of the two forces shown * ?in fig using cosine and sine laws 14 kN 30 8 kN

A: Redrawing the force diagram in vector form,

Q: a) Evaluate the surface area of a paraboloid z 4-- that lies above the ry-plane.

A: Given that the area of a paraboloid z = 4- x2- y2 that lies above the x-y plane

Q: Find the controid for the shaded area

A:

Q: • A system of four forces acting at a point on a body is as shown in Fig. Determine the resultant.

A: TO FIND THE RESULTANT OF THE ABOVE FORCE SYSTEM:

Q: Two forces act on the hook. Determine the magnitude of the resultant for?

A: The angle between the forces θ is 40 °. The magnitude of the forces are:

Q: Four parallel forces of magnitudes 100N, 150 N, 25 N and 200 N are ahown in Fig. (1) Determine the…

A:

Q: For the bounded and shaded region,

A:

Q: The resultant of three parallel loads ( one load is missing ) is 30 lb acting up at 10 ft to the…

A:

Q: Find the dimension and surface area of the shape object according to the pappus-guldinus theorem

A: Pappus theorem is a very simple method exists for calculating the surface area and volume generated…

Q: 1- Find the volume of the solid generated be revolving the shaded region about the given axis.…

A: Consider the first figure, The figure is a triangle and is rotated about the x-axis from x=0 to…

Q: 4. Find the resultant of the forces system shown in Fig. 1.9(a). 60ON BOON 20 40 30 200N

A: Static Equilibrium: A body is said to be in static equilibrium if it follows three conditions  The…

Q: Use the theorems of Pappus and Guldinus to solve the fol- lowing problems. Determine the volume V of…

A:

Q: Determine the total area of the cross-section (in sg m) without disregarding the areas in the end…

A:

Q: Find the resultant of the two forces ?shown in fig using cosine and sine laws 14 kN 30 8 kN

A: Given dataForce F1 = 14kN @300 to horizontal towards leftForce F2 = 8kN towards rightTo determine…

Q: The Resultant of the parallel forces is dest

A:

Q: Given the multiview projection of the solid, draw its isometric view.

A: according to the detail provided in the three projection view,s we need to draw a hand-free sketch…

Q: (a) Figure Q2(a) shows two functions intersect and creating an area under the curve. Determine (i)…

A:

Q: Given the shaded area below, y x= y² 2 cm 4 сm The first moment of an area (cm3) about the x-axis…

A:

Q: Find the controid for the shaded area 120

A: The centroid is the point from the x and y-axis where the total mass of the area supposed to act. It…

Q: A ring is obtained by rotating the shaded area 360° about the y-axis. Determine its surface area and…

A: Given d=110 ft

Q: Find the center of mass of the system shown if M1= 10 kg, and M2= 20 kg.

A:

Q: Construct the third b' projection of the given solid and points A, B and C on its surfaces.

A: The side view and front view are given in the problem.

Q: the resultant of the force System shown in

A: Given: To determine: The resultant force and the point where it locate from point B

Q: A body weighs 250 lb at the earth's surface. Determineb. The weight of the body 500 mi above the…

A: Given data Weight of the body at earth's surface, Fe = 250 lb. Take the radius of the earth as, Re…

Q: Draw the projections of a cylinder 75mm diameter and 100 mm long lying on the ground with its axis…

A: Given: Object- Cylinder Dimensions are given as Base 75 mm dia and length 100 mm. ϕ=30° (angle made…

Q: 2 Draw the Vehciry triangle of body horizontal Surface and inclination angle on

A: The velocity triangle of a body on horizontal plane is -

Q: Find the resultant for this system of forces: C F2= 81 lb

A: calculate the value of x,x=72+42x=8.062 ftnow angle θ is,tanθ=x4=8.0624θ=63.6ocomponent of F2 in…

Q: 6. Given two projections of the solid, construct the third one. O

A:

Q: The vertical plate ABED is pinned to rod OA at A and supported by a roller at E which slides in a…

A: Given DataL=2mVE=1.1m/snumber of link=4

Q: Calculate the resultant force that the oil exerts on plate B Determine the location of FR measured…

A: the diameter of the circular plate = 1.5 m

Q: If the resultant of the parallel force system is 800 Ibs downward, what is the value of P (in Ibs)?

A:

Q: Given the multiview projection of the solid, draw the isometric view.

A: According to the details provided in the question, we need to draw an isometric view. 1. I am using…

Q: The vertical component of the resultant equals to; (show also either it is positive or negative)

A: Given Data: The magnitude of force F1=30 kN The magnitude of force F2=26 kN

Q: Determine the vertical component of A.

A:

Q: 3 m

A: Given that, Density of the plate, ρ=800 kg/m3Length of plank, l=3 m, Drawing the free body diagram…

Q: Volume obtained by rotating the shaded area shown in the figure about x-axis. y = kx /3 xr

A:

Q: 200 N Determine the horizontal & vertical components of the rorce ( 200 N) ?

A: Given data:The magnitude of the force is F = 200 NIn the triangle shown beside the force:The…

Q: A B

A:

Q: Find the force on one face of a right triangle of sides 4m and altitude of 3m. The altitude is…

A: given data; side of triangle (a)=4maltitude of triangle(b)=3mwhen triangle submerged verticaly then…

Q: 5. Given two projections of the solid, construct the third

A: The given solid :                 Given question : Two projections of the solid are given, construct…

Q: A body weighs 250 lb at the earth's surface. Determine c. The weight of the body on the moon's…

A: Given   weight of the body on the earth's surface = 250 lb…

Q: Find the volume of the solid generated be revolving the shaded region about the given axis.

A: we will use pappus- guldinus theorem to solve the question   volume of revolved solid = area * 2 *…

Q: Find the centroid of the region lying underneath the graph of the function f(x) = 10 sin(x) over the…

A:

Q: Find the area of the ellipse with vertices at (0,±3) and co-vertices at (±1,0)

A:

Q: What is the magnitude of the resultant of the forces on the object? Where is its location?

A: Given, F1 = 200 NF2 = 100 NF3 = 50 N Let F be resultant force at angle θ and at x distance from…

Q: : Determine the resultant of the force system shown in Fig. (1) and locate it with respect to polnt…

A:

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.