.Six equal rods AB, BC, CD, DE, FE and FA are each of weight W mnd are freely jointed at there extremities so as to form a hexagon, the rod AB is fixed in a horizontal position and the middle points of AB and DE are jointed by a string; prove that its tension is 3W,

.Six equal rods AB, BC, CD, DE, FE and FA are each of weight W mnd are freely jointed at there extremities so as to form a hexagon, the rod AB is fixed in a horizontal position and the middle points of AB and DE are jointed by a string; prove that its tension is 3W,

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 55E: Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to...

See similar textbooks

Related questions

Q: If AC congruent to AB and CD congruent to BE, which theorem or postulate can be used to prove ACE…

Q: 4. D and E are any two points on the sides AB and AC respectively of the triangle ABC. DG drWn…

A: Given: D and E are any two points on the sides AB and AC respectively of the triangle ABC. DG drawn…

Q: ) Given : Quad rilateral RSTV with diagonals RT and su intersecting at w Prove : mLT+mLa= m23 tm<4

A: In the quadrilateral, ∠VWR=∠TWS.

Q: Suppose that O is the circumcentre of AABC and points X, Y, and Z are chosen so that BC, AC, and AB…

Q: Q/ It ri, Ve and rg are three Commutative magntidle equelly oblique pre pendicu lar sectors of the…

Q: Given: In trapezoid ABCD, AB = CD and ZBAD = LCDA; insert diagonals AC and BD Prove: AAMD is…

Q: AABC has inradius r, altitudes of length ha, hb, hc, and exradii ra, b, c. 1 1 1 + r (a) Prove that…

Q: Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD.Line segments from a…

A: Consider the following figure.

Q: 3. AABC is isosceles with AB = AC; M and N are the midpoints of AB and AC respectively. If 41 = %3D…

A: Use the congruency property

Q: A B ´E

A: It is given that, BD=DA, BE=EC We have to prove that, DE∥AC , DE=12AC

Q: In ARST, mzS = 84° and m T = 42°. The bisectors of ZR and s meet at the point V in the interior of…

Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

Q: 3 Show thot tfe fundion fae Ax +26T* +C with A = AT E IR E IR", CE IR is strongly Convex if and only…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: sut-sebut sebagai buku matematika terbaik yEn pemah ada, buku it Indonesia dukin d lld) yang and 3)…

A: To find Divergence and curl of the given vector field.

Q: 2. Prove that there are no rectangles in S2. More precisely, prove that if A, B, C, D E S² form a…

A: Given: ∠A=∠B=∠C=∠D=π2

Q: Six equal rods AB, BC, CD, DE, FE and FA are each of weight W md are freely jointed at there…

Q: In the convex quadrilaterial ABCD the diagonals are perpendicular on one another, and they are equal…

A: A convex quadilateral ABCD. Diagonals AC and BD are perpendicular to each other and equal in length.…

Q: 1. If C₁ is the segment from (x₁, y₁) to (x2, y2), find Ja x dy - y dx in terms of the four…

A: Using Green 's theorem line integral to double integral

Q: 4. Prove the following. Given: Parallelogram ABCD; Z BAD = L CBD Prove: AABD is isosceles A…

A: Given □ABCD is parallelogram,Given ∠BAD=∠CBD (1)Aim : △ABD is isosceles…

Q: Given: Rhombus ABCD with diagonals AC and BD intersecting at point E Complete the table to prove…

A: The rhombus is a quadrilateral with all sides equal in length. The diagonals of a rhombus are angles…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE = ACBE

A: We have to solve the problem

Q: GIVEN: XL = XP, XL 1 TR, XP 1 TS, X is the midpoint of RS. T PROVE: ARTS is isosceles. 7. %24

A: Congruency Property CPCT The proof is :-

Q: Six equal rods AB, BC, CD, DE, FE and FA are each of weight W mnd are freely jointed at there…

Q: 29. In right AABC with right 2C, AB = 17 and BC = Find the length of MN if M and N are the midpoints…

Q: Suppose ABCD and AB'C'D' are two squares in the plane that a) have rertex A in common, b) have the…

A: Let we have small letter corresponding to each vertex denotes the corresponding complex number.…

Q: 3. If point P is the centroid of AMNO, which statements can be deduced? Select all that apply. M R S…

Q: 1. The circular track is tangent to each side of Quadrilateral ABCD, and all of the angles in…

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

Q: . Six equal rods AB, BC, CD, DE, FE and FA are each of weight W and are freely jointed at there…

Q: D A В Segments AD and BC intersect at point O. Prove that AC = BD, MZABC=mZBAD.

Q: 4. Find the uolume of the following objects : side dengtn a) A cube with ane síde lenpth ña" "ll b)…

A: (a) The volume of the cube with side length a is given as follows:

Q: If P and Q are represented by the numbers z1 and z2 such that H- then the circumcentre of AOPQ,…

A: Given P an Q are represented by the numbers z1 and z2 such that |1z1+1z2|=|1z1-1z2| We need to find…

Q: (c) Construct the locus lofpoints 3.5 cm from R and letl and PQ meet at l, andl (b) Construct a…

A: Here we will do given constructions,

Q: A quadrilaterial with exactly one pair of opposite sides parallel is classified as a: O Trapezoid…

Q: .Six equal rods AB, BC, CD, DE, FE and FA are each of weight W and are freely jointed at there…

Q: 5. E and F are points of the sides AD, BC of a quadrilateral ABCD such that AE- kED and BF = kFC. If…

A: AE=KED BF=KFC AEED=KI BFFC=KI let α,β,γ and δ be the position vectorsof…

Q: 5) Complete the proof that opposite angles of an inscribed quadrilateral are supplementary. Given:…

Q: Let ABCD be an isosceles trapezoid with AD = CD, and BD are 15, 18, and 10, respectively. Let K be…

A: Given an isosceles trapezoid ABCD with AD=BC and AB<CD. Distances from A to the lines BC,CD and…

Q: 1. Prove: AMQP = LI 42. In isosceles triangle BAT, AB = AT. C o1 i Also, BR = BT = AR. If AB = 12.3…

Q: 1) Prove that T = { diag ( eia eip, eilxip)) | a,B E [0,27()} ís maximal torus in sul 3).

Q: Prove Green's theorem for the rectangle defined by xo < x < x1 Yo < y < Y1 (a) directly, and (b)…

Q: 20. GIVEN: KG = JG, JR 1 KG, KL 1 JG R is the midpoint of KG, L is the midpoint of JG. R PROVE: AKOR…

A: Proving using ASA congruence rule.

Q: AABC has inradius r, altitudes of length ha, hb, hc, and exradii ra, b, c. 1 1 1 1 + ra r (b) Prove…

Q: 6. In AABC, points X, Y and Z are on sides CB, AC and AB, respectively, so that cevians AX, BY and…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE B.

A: Solution: To Prove △ADE≅△CBE

Q: Prove that A Unitoy matylre U is Yemem bereel as Svuare Matsin whose colounn Vecto 8 have Cume theio…

A: The solution is in step 2

Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

Q: Let r be the inradius, R the circumradius, and s the semiperimeter of a right triangle AABC. Prove…

A: Given that, ∆ABC is a right triangle, r be the inradius, R be the circumradius and s is the semi…

Q: of the Solids ebtaind by-revolding 5 Find the velume of the Sotids abtaind by revolu.ing Yegion in…

A: In this question we have to calculate the volume obtained by the revolution of given two region…

Q: Draw AABC and label the midpoints of AB, AC, and BC as X, Y, and Z. respectively. Let P be the…

A: We shall draw the triangle, along with all other lines in order to visualise the problem better…

Question

Correct answer only

.Six equal rods AB, BC, CD, DE, FE and FA are each of weight W
and are freely jointed at there extremities so as to form a hexagon, the rod AB is fixed
in a horizontal position and the middle points of AB and DE are jointed by a string;
prove that its tension is 3W.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle.
Use drawings, as needed, to answer each question. In a plane lm and tm. By appearance, how are l and t related?
Prove by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove: ZW is not perpendicular to XY
In MNP for Exercise 29, medians MB, NA and PC intersect at centroid Q. a Find QB If MQ=8.2. b Find PQ if QC=72. c. Find AN if AQ=4.6 Exercises 27, 28
Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of the semicircle on the hypotenuse is equal to the sum of the areas of the semicircles on the two legs.
Given: B is the midpoint of AC BDAC Prove: ADC is isosceles
Given: Isosceles ABE with AEBE; also, D and C are midpoints of AE and BE, respectively. Prove: ABCD is an isosceles trapezoid. Exercises 17, 18
Refer to the prisms of Exercises 1 and 2. Which of these have symmetry with respect to one or more planes?
Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to form parallelogram VWSY, which has an area of 16units2. Find the length of VW-.
Let A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or false. a B lies between A and C. b AB is a ray with endpoint B.
In O, chord AB chord CD. Radius OE is perpendicular to AB and CD at points M and N, respectively. If OE=13, AB=24, and CD=10, then the distance from O to CD is greater than the distance from O to AB. Determine how much farther chord CD is from center O than chord AB is from center O; that is, find MN.