A uniform piece of sheet steel is shaped as in the figure below. (Both axes are marked in increments of 2). Compute the x and y coordinates of the center of mass of the piece.

Question

henry96marti henry96marti

Today at 12:18 AM
Physics

Answered

A uniform piece of sheet steel is shaped as in the figure below. (Both axes are marked in increments of 2). Compute the x and y coordinates of the center of mass of the piece.

Answer :

Other Questions

Use VOTE1.RAW for this exercise. (i) Estimate a model with voteA as the dependent variable and prtystrA, democA, log(expendA), and log(expendB) as independent v

Use the angle-size-distance formula to calculate the angular size of the Andromeda Galaxy from Earth. The size of Andromeda is 100,000 light-years; the distance

trighton's trailer co. sells all kinds of trailers and provides a one-year warranty on all new trailer sales. based on history, trighton anticipates that 2% of

trait d is homologous in all of the taxa except mosses. blanktarget 1 of 6 magnolias only have trait c. blanktarget 2 of 6 the common ancestor marked by the dot

You want to create a portfolio equally as risky as the market, and you have $2,400,000 to invest. Given this information, fill in the rest of the following tabl

#. सरलरेखा 6x -2 = 3y+ 1 = 2z -2 का direction ratios है :(a) < 1, 2, 3> (b) <6, 3,2> (c) <1, 1, -2 > (d) इनमें से कोई नहीं

Which of the following is not a state variable? (1) Pressure (P) (2) Temperature (T) (3) Volume (V) (4) Mass (M)

A paragraph on " an early morning scene seen by you "

Fachside 1-2ab2- Ca²+62)

hey guys . i have created a class where you can ask for notes of all boards and subjects and of all classes. i will also create quizzes there. this class is cre

unpolarized light with intensity 330 w/m2 passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. it emerges f

In the accompanying graph, place • point A along the portion of the LRATC curve where a firm experiences economies of scale point B along the portion of the LRA

which of the following is a false statement about the methods? group of answer choices the time class has three constructors. time() is the default constructor.

max is satisfied with kenny's statement of innocence, but he still can't sleep, why? question 3 options: he is sorry that everyone has been so mean to his fathe

Producers can be encouraged to internalize external costs by: a. imposing emission charges but not pollution fines b. reducing user fees c. altering market ince

Chinese restaurant workers migrate from rural China to work in inexpensive Chinese takeout restaurants that can be found in abundance across the United States.

What statements describe the ecological and economic significance of the green algae? (Choose three) - They are a such of food products such as carrageenan. - T

A particle of mass 4m which is at rest explodes into three fragments. Two of the fragments each of mass m are found to move with speed v each in mutually perpen

Imagine you are the division manager. You have several teams which report to you. One of the teams is tasked with new product development which requires a high

As a member of the diplomatic corps, Alex was given special training in the customs, language, and religions of the Third World country where he would be living

Аноним Аноним · Answer 1 · 2025-03-31T00:23:20-04:00

"increments of 8" means the major divisions are 0,8,16,24 ?

x axis, calculate the moment arms from 0
3x4, 2x12, 1x20
from an arbitrary C
3(c-4) + 2(c-12) + (c-20) = 0
3c - 12 + 2c -24 + c - 20 = 0
6c = 56
c = 9.33

y axis
3x3, 1x12, 2x20
3(c-4) + 1(c-12) +2 (c-20) = 0
3c - 12 + c - 12 + 2c - 40 = 0
6c = 64
c = 10.67

so center is x = 9.33, y = 10.67

creamydhaka creamydhaka · Answer 2 · 2025-03-31T00:22:54-04:00

Answer:

[tex](\bar{X},\bar{Y})=(2\frac{1}{3},2\frac{2}{3})[/tex]

Explanation:

Since the given sheet is of steel hence it has a homogeneous density, each piece of square measurement according to the graph will have equal mass.

For X coordinate of center of mass:

[tex]\bar{X}=\frac{m_1.x_1+m_2.x_2+m_3.x_3+m_4.x_4+m_5.x_5+m_6.x_6}{m_1+m_2+m_3+m_4+m_5+m_6}[/tex]

where:

[tex]x_1,x_2,x_3,x_4,x_5,x_6[/tex] are the respective geometric abscissa of square pieces.

Since,

Respective masses of the square pieces

[tex]m_1=m_2=m_3=m_4=m_5=m_6=m\,(let)[/tex]

So,

[tex]\bar{X}=m\times \frac{(x_1+x_2+x_3+x_4+x_5+x_6)}{6m}[/tex]

[tex]\bar{X}= \frac{(3+1+1+1+3+5)}{6}[/tex]

[tex]\bar{X}=2\frac{1}{3}[/tex]

For Y coordinate of center of mass:

[tex]\bar{Y}=\frac{m_1.y_1+m_2.y_2+m_3.y_3+m_4.y_4+m_5.y_5+m_6.y_6}{m_1+m_2+m_3+m_4+m_5+m_6}[/tex]

where:

[tex]y_1,y_2,y_3,y_4,y_5,y_6[/tex] are the respective geometric ordinates of square pieces.

Since,

Respective masses of the square pieces

[tex]m_1=m_2=m_3=m_4=m_5=m_6=m\,(let)[/tex]

So,

[tex]\bar{Y}=m\times \frac{(y_1+y_2+y_3+y_4+y_5+y_6)}{6m}[/tex]

[tex]\bar{Y}= \frac{(5+5+3+1+1+1)}{6}[/tex]

[tex]\bar{Y}=2\frac{2}{3}[/tex]

∴Center of mass of the given figure is:

[tex](\bar{X},\bar{Y})=(2\frac{1}{3},2\frac{2}{3})[/tex]