3. Determine the magnitude of the counterweight W to cause the block to slide down the incline.Coefficient of friction between the block and inclined surface is 0.30. The pulley is frictionless.100 kgmotionmotionW20° 1. Locate the centroid of the following figures.90 mm: ya)b)90ty4 inmm3 in120X+2 in2 in2 inA = A1 - A2Ax = A1 x1 - A2 x2А у%3DA1 y1 - A2 у2A = A1 - A2Ax = A1 x1 - A2 x2А у 3DA1 y1 - А2 у22. Compute for the moment of inertia about xo and yo of the following figures.а)b)y100 mm100 mm75 mmy25mm120 mm75 mm50 mm180 mm| = |1 - 12|= 1 + 12

Note:- As per our guidelines, we are supposed to answer only one question. Kindly repost other…

Answered: Locate the centroid of the following…

Engineering

Mechanical Engineering

Locate the centroid of the following figures.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.38P: The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the...

See similar textbooks

Related questions

Q: Locate the centroid of the given area below.

Q: Identify the centroid of the given semi circle if value of r = 20 as shown in figure.2 %3D R=rm

A: Given : Semi circle radius = 20 m Centroid of semicircle : The point that is in the exact center…

Q: Locate the centroid of the plane curve shown.

A: Now consider the following figure And find the centroid by making a table of values Shape…

Q: Locate the centroid of the shaded area shown below. 1.50m 0.75m 1.50m -► X

Q: Locate the centroid of the plane area shown.

Q: Locate the centroid of the line ABC.

A: The modified diagram of ABC is given below,

Q: Determine the centroid of the given composite figure. The area of the geometric figures drawn in red…

A: The given section is as shown below,

Q: Locate the centroid (x̅, y̅, z̅) of the wire which is bent in the shape shown.

Q: 8 cm r= 3 cm 10 cm R= 5 cm

A: The Center of mass is a point where the sum of the moment of the weight of each particle is zero. It…

Q: QI. Locate the centroid of the shaded area shown in the Figure (1). y-

A: Centroid of an area is defined as the point in the area which is located such that it is equidistant…

Q: Find the centroid of the shaded area about given axis. Figure: 1a and Figure: 1b

A: The given figure is divided into 3 parts Triangle Rectangle Quarter-circle Dimensions: L=120…

Q: Locate the centroid area (x and y) of the figure.

A: Given data To find the centroid of x and y

Q: For the plane area shown axes and the location of the centroid. in Figure 1, determine the fiest…

A: In the given problem, units have not been mentioned, thus the solution has been provided considering…

Q: Determine the coordinates of the centroid of the shape given below.

A: To find coordinates of Centroid

Q: Locate the centroid of the shaded area shown in each of the following figures. y

A: Assuming shaded area is upto distance a in y axis Take s strip at x distance from origin Centroid…

Q: Locate the centroid of the shaded area shown in each of the following figures.

A: Equation of ellipse in y as a function of x can be written as follows:x2a2+y2b2=1 Now finding y as a…

Q: Locate the centroid of the shaded area in the figure created by cutting a semi-circle of diameter ds…

Q: What is the y coordinate of the centroid of the object shown?

A: Determine the centroid

Q: Locate the centroid of the composite figure shown. 1.80m

Q: Locate the centroids of the following figures with respect to the axes shown.

A: According to the details provided in the question, we need to calculate the centroids of the figure…

Q: Q\ Locate the centroid of the area below:

Q: Locate the centroid of the shaded area shown. Draw the figure with the centroid. 16 cm 8 cm 1 8 cm 8…

A: To find : The centroid of shaded area. Given: The free body diagram shown below: Concept and…

Q: 7 in. 7 in. 7 in. 7 in. 6 in.

Q: Locate the centroid of the given area below. ... Semi-Circle Square 10ft

Q: Locate the centroid of the composite figure below

A: Consider the diagram as shown below.

Q: Locate the centroid of the shaded area shown in each of the following figures. if b = 200 mm and h =…

A: Taking a strip of width dx and height y as shown in figure the area of the strip is given by, dA =…

Q: locate the centroid C(X-bar Y-bar ) for this triangle

A: Solution:

Q: Locate the centroid of the shaded area shown in each of the following figures

Q: Locate the centroid of the wire. Locate the centroid of the wire. Locate the centroid of the wire

Q: 'For the volume shown in Fig. (5), locate the centroid C(X, Y, Z) 25 35

Q: Locate the centroid of the shaded area in the figure created by cutting a semi-circle of diameter d,…

A: Consider the diagram as shown below.

Q: Locate the centroid of the figure with respect to the X and Y axes.. Enclose your answers in a box

Q: 5.1 through 5.8 Locate the centroid of the plane area shown.

A: According to the bartleby policy , i am solving first three subparts only sol:- part 1,…

Q: 1. Locate the centroid of the shaded area shown in the figure 1.

Q: Locate the centroid of the shaded area in the figure created by cutting a semi - circle of diameter…

Q: Locate the centroid of the shaded area shown in each of the following figures. 5 in. 1 in. -4 in. 1…

A: The shaded area can be divided into 2 rectangle as shown below,

Q: Find the centroid of the given shape. (1.4) (3.4)

A: Given;

Q: find the solition centroid for the shaded

A: The given diagram is consists of two parts:- 1) A shaded circle of radius, R = 120 units 2) A…

Q: Locate the geometric centroid of the along the x and y axis of the figure shown below.

Q: 2. Locate the centroid (x, ỹ)of the following areas:

Q: Determine the centroidal z-coordinate (in mm, round=off to 2 decimal places) of the wire figure…

A: Given data: Length = 96 mm Need to determine the z-coordinates of the given shape.

Q: Locate the centroid of the shaded area shown in each of the following figures. y y=ar y=x

A: The given equations are y1=axy2=x The centroid of the member along the x direction is x¯=x The…

Q: Locate the centroid of the shaded area shown in each of the following figures. 5 in. 5 in. 5 in. 5…

A: Given, here 1,2 and 3 represent the area of a square, triangle, and semicircle respectively

Q: Locate the centroid of the curved slender rod shown in each of the following figure: A

A: Let x=b y=b/2 y=x2/2b dydx=2x2b=xb…

Q: For the plane area shown, determine the location of the centroid

Q: Locate the centroid of the following shaded area.

A: According to the details provided in the question, we need to calculate centroid

Q: Locate the centroid of the plane area shown.

A: The centroid is the point in a solid body where its total weight supposed to act. It is calculated…

Q: ! For the volume shown in Fig. (5), locate the centroid C(X, Y, Z)

A: To determine the centroid of the given volume.

Q: The location of the centroid of the shaded area about x-axis is

A: TO FIND Location of the centroid of the shaded area about x-axis.

Concept explainers

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.

Question

3. Determine the magnitude of the counterweight W to cause the block to slide down the incline.
Coefficient of friction between the block and inclined surface is 0.30. The pulley is frictionless.
100 kg
motion
motion
W
20°

1. Locate the centroid of the following figures.
90 mm
: y
a)
b)
90
ty
4 in
mm
3 in
120
X
+
2 in
2 in
2 in
A = A1 - A2
Ax = A1 x1 - A2 x2
А у%3DA1 y1 - A2 у2
A = A1 - A2
Ax = A1 x1 - A2 x2
А у 3DA1 y1 - А2 у2
2. Compute for the moment of inertia about xo and yo of the following figures.
а)
b)
y
100 mm
100 mm
75 mm
y
25
mm
120 mm
75 mm
50 mm
180 mm
| = |1 - 12
|= 1 + 12

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

50 mm 150 mm 150 mm 300 mm find the moment of inertia for this exercise, with the following formulas: Polar Jo= Iox + + Toy Iox - Icx + Adg² Toy = Icg + dobe ² Caculation of centroid attached below. use it to solve the question in red box asap Som Av 3com for Portion A₁ - the figure is symme about y-aris. 2=0. AL 120mm AALD Area of A₁ = 300x50 = 15000 Y₁ = y₁ y = 300 for Pation A2 Area Az = 50x300 = 15000 By Considering Centroid, from the Bottom of the section. 300+ 50 = ₁ + 3/2 = 325 Centroid (ā, y) = = [0₁ SE = 50mm A, Ya+ A₂4 0, A₁+A₂ 15000x150 +15000x325 15000 15000 (0.237.5)
2. Compute for the moment of inertia about xo and yo of the following figures. a) b) y 100 mm 100 mm 75 mm y 25 mm 120 mm 50 mm 75 mm 180 mm | = |1 - 12 |= 11 + 12
In the area of the shaded region below, calculate the following: a.) Location of Centroid from x and y axis as shown b.) The moment of inertia with respect to y axis as shown, ly 5+2b+2a All units in cm STUDENT NO CODE: 20XX-XABCDE (EX. 2016-083701, A=8, B=3, C-7, D=0, E-1) r=2+e r=3+c+2d
The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the catenary is the shape of a cable suspended between two points). Locate the y-coordinate 0f the centroid of the catenary by numerical integration using x=25ft.
16 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the homogeneous wire in the x, y and z axes given correctly?A) (23.57 ; 11.43 ; 17.14)B) (23.57 ; 17.14 ; 11.43)C) (28.29 ; 13.71 ; 20.57)D) (20.61 ; 13.03 ; 9.08)E) (28.29 ; 20.57 ; 13.71)
For the purple region bounded by a parabola with vertex at (-1, 5) and the green line, solve y = -a(x – h)? + k for: a. Area b. Centroid c. Volume when revolved 230° about the green line (-2.1, 2.2) d. MOI and radius of gyration about the x-axis using horizontal strips. e. MOI and radius of gyration about the y-axis using vertical strips. f. MOI and radius of gyration about the z-axis (1, n)
3:59O l 37.6 26) K/s REC Question v? = 400x Determine the moment of inertia for the shaded area shown about the x - (100 – x)- dy axis. 200 mm 100 mm 27:082021 BME 1205 Moment of Inertia Natukunda Faith's screen
For the section below: а. Determine the moment of inertia with respect to the X-axis. b. Determine the moment of inertia with respect to the Y-axis. C. Determine the moment of inertia with respect to the X'-axis. 40 mm 80 80 30° tw = 40 mm 40 mm 200 mm 9. 300 mm 220 mm
In civil construction it is very common to use L sections, angle, for comer pillars. Calculate the center of gravity L drawn below, informing the x coordinates with respect to the y axes and the Moment of Inertia Ix and Iy with respect to this center of gravity. Consider as measurements in centimeters, where: = 60 b= 90 Note: use Steiner's theorem 50 a 20
4 cm -10 cm Calculate the moment of inertia l, in the coordinate set (x,y) placed at the center of gravity of the section given 4 cm 10 om M in the figure. Write the result by rounding to the nearest whole number and specifying the unit. y5.5 cm
QUESTION 1) In the section in which geometric properties are given in figure; Calculate the moments of inertia Ix, Iy, Ixy On the coordinate set placed at the center of the section (n= 3). 4em 4cm 4cm G 4cm 4cm 12cm 8cm 4cm 8em 4cm 8cm ++
For the following area, determine: a) the coordinates of the geometric center of the area taking the axes shown in the figure as a reference. Consider b = 36 cm.Adopt π = 3.14159. b) the moments of inertia about the axes that pass through the geometric center of the area. (IxCG = IyCG in cm4)