Answered: The centre of mass of a non-uniform rod…

The centre of mass of a non-uniform rod of length 4 m whose mass per unit length is K = 3x kg/m, where x is in m. The distance of centre of mass from its one end which is at origin will be m

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.26P: A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what...

See similar textbooks

Related questions

Q: A uniform cube with mass 0.700 kg and volume 0.0270 m3 is sitting on the floor. A uniform sphere…

A: Given that, Mass of the cube, mc=0.7 kg,Volume of the cube, V=0.027 m3,Radius of sphere, r=0.3…

Q: Four masses A, B, C and D revolve at equal radii and are equally spaced along a shaft. The mass B…

A: Suppose masses be, A=mAB=mBC=mCD=mD Given, All masses are revolving at equal radii So, let it be at…

Q: A uniform rod of length 55.0 cm is tilted above the horizontal at a 20.0 degree angle as shown. It…

Q: Group 8, 9, 10, 11, 12 Mass (g) Eccentric length r (mm) A 21 59 34 44 19 36 25 36 Group 13, 14, 15,…

A: Given Data :- Mass at A,B,C and D is 21g,44g,59g and 19g Eccentric Length at A,B,C and D is…

Q: Q) A )Five masses A, B, C, D and E are attached to a shaft and revolve in the different planes. The…

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

Q: A thin rod initially lies at rest along the x axis with one end at x = -1.7 m and the other end at x…

A: Density function,λ(x)=0.6x4+3.6x2Now,Mass of rod,m=∫-1.72.3dmm=∫-1.72.3λ(x).dxwhere,dx is length of…

Q: 3. A uniformly solid sphere of mass M and radius R is fixed a distance h above a thin infinite sheet…

A: Given Mass = M Radius = R Distance = h Density = ρ Find Force, F

Q: it is known that the shaft in the shape with a rotating disk on it rotates parallel to the…

A: The disc remain horizontal when the torque acting due to gravity is cancelled fully by the…

Q: The figure below shows an assembly consists of a thin rod ( mass 1.4 kg and length 1 m) and two…

Q: Three masses are attached to a 100-meter long beam as shown below. The mass of the bea, is 210…

Q: As shown, a 2.7-lblb ball is suspended at point D inside a box with dimensions w=8.90 ft, ft,…

A: Given: Coordinates of different points :…

Q: the equations of motion define the translational and rotational motion of a rigid body true or…

Q: A thin rod of mass m = 12 kg is constrained to rotate about an axis through its center, but there is…

Q: Q10/ Four masses A, B, C and D as shown below are to be completely balanced. A B C D 30 50 40 Mass…

Q: (b) The planet Neptune has an equatorial diameter of 49,532 km and its mass is 1.0247 x 10 kg. If…

Q: Part 1 The diagram on the side show a cross-section of hollow shaft. Determine the maximum volume of…

Q: the quantity that have magnitude with no direction is scalar vector

A: Scalar quantity - A quantity has only magnitude but no direction are called a scalar quantity…

Q: 16 - y (cm) mx 10 CM 8 my 5. x (cm) 8. The position of center of mass (CM) for the system composed…

A: Given data: The position of mass mx from Y axis is x1 = 8 cm. The position of mass my from Y axis…

Q: A torque of 1.45 N-m is applied to a thin rod, fixed to rotate about a point through its center. If…

Q: Group 8, 9, 10, 11, 12 B C A 21 19 Mass (g) Eccentric length r (mm) 44 59 36 25 34 36 Group 13, 14,…

A: Given Data in Question:- Mass at A,B,C and D is 18g,39g,49g, and 20g Eccentric Length r at A,B,C and…

Q: 49. Consider the convex spherical mirror whose radius is 80 cm. Determine the position and height of…

Q: Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by…

A: Centroid of a shape is the point where it is considered to be located at the average distance from…

Q: 29 •G 60° 60% A B The triangle shown is made from wire with mass per unit length 0.4 kg/m. The…

A: For solution refer below images.

Q: Cytrodsph. A rod of length 2R and mass M is connected to a #solid-cylinder and a hollow sphere (each…

A: To find: The moment of inertia of of the assembly about the rotation axis.

Q: Consider a cylinder of radius R = 0.6 m and radius of gyration k = 0.33 m rolling (without slipping)…

A: For solution refer below images.

Q: (5) Your subject is performing body-weight squats in the lab, and kinematic data are being…

Q: 9. The Normal Force is always parallel to the surface. True O False 10. When solving projectile…

Q: Chapter 09, Problem 005 Go Z Your answer is partially correct. Try again. What are (a) the x…

Q: Calculate the solution of the two-degree of freedom system given by: = : 9 K = [ 31 x0) = 27 . x(0)…

Q: The work done by spring is The work done by weight is Polar moment of inertia about B is…

A: Given that, Initial position, CD2=CB2+BD2CD=1202+3502CD=370 mm, ∆x1=370-150∆x1=220 mm, Final…

Q: A riveting machine is used for riveting sheets of 20 mm thickness. The machine is driven by a geared…

A: Given data:

Q: Consider the 4-node isoparametric element. Show that at the origin of the re n = 0: an, y2 - Y4 əx…

Q: A planet of mass 6 x 1024 kg has a moon of mass 2 x 1024 kg. The period of revolution of the moon…

A: The Answer is below

Q: A square metal on the left side is Ja=10 cm 1c=5 cm a=10 cm centered around origin. Calculate the x…

A: Center of mass of right angled triangle xcm,ycm = a-2a3,h3a = Width of the triangleh = Height of the…

Q: 5. ESSAY. Describe the following motion for Planar Kinematics of Rigid Bodies a) Translation b)…

Q: 3.00 6.00 Z symmetric about horizontal axis 4.00 3.00 (3 2.00 9.00 3 1 2 3 Enter the missing terms…

A: 1: b= ? , h= 6 , Iy= 542: b= 4 , h= ? , Iy= 93: b= 2 , h= 9 , Iy= ?

Q: (2) ubäi A physical quantity which requires only magnitude for its complete description is known as…

A: A physical quantity that depends only on magnitude is called a scalar quantity and a physical…

Q: . Three point masses are shown in the figure below. Notice that the origin of the coordinate system…

Q: A non-uniform rod of length L has a linear mass density of 1 = kx² where is k some constant. %3D…

Q: 10. Batteries are used in todays hybrid cars to capture the wasted energy of braking energy.…

A: Write the given values along with the suitable variables. Note: The given value of disk diameter is…

Q: (b) A probe and an asteroid collide in space. A disc made of copper, of diameter 56 m and thickness…

A: since no external torque acts on the system, angular momentum will be conserved

Q: Three springs, A, B and C, are connected as shown below, with one end of A and C attached to rigid…

Q: What is the sign of convention for work done by the system on the surrounding.

Q: A thin triangular plate of uniform density and thickness has vertices at vi 3 (0, 1), v2 figure…

Q: Q) A )A shaft carries five masses 1, 2, 3 , 4 and 5 are attached to a shaft and revolve in the…

Q: 8. The potential energy of an apple is 6.00 joules. The apple is 3.00-meters high. What is the mass…

A: GIVEN DATA - h=3m POTENTIAL ENERGY P.E.=6J WE HAVE TO FIND MASS OF APPLE

Q: PRODLEM # 2. Solve for spheniei ty of disc %3D given radius = 4 250 meters, thickness = 20 meters,…

Concept explainers

Atomic diffusion in solids

In material science, diffusion can take place in solid, liquid, and gases. In solids, atomic diffusion can take place with the help of thermally activated and randomly vibrating atoms. The atomic diffusion in solids is complex and very slow in comparison to atomic diffusion in liquids and gases because the interatomic distance between the atoms is smaller in solids as compared to liquids and gases.

Question

The centre of mass of a non-uniform rod of length 4 m
whose mass per unit length is K = 3x kg/m, where x is
in m. The distance of centre of mass from its one end
which is at origin will be

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

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

Two uniform, solid spheres (one has a mass M1= 0.3 kg and a radius R1= 1.4 m and the other has a mass M2 = 2M, kg and a radius R2= 2R;) are connected by a thin, massless rod of length L= 4R1. Find the moment of inertia (in kg.m2) about the axis through the center of sphere 1. (Igphere = MR?). Axis of rotation R, R2 a. 59.74 b. None of the choices O c. 117.13 d. 97.37 O e. 45.04
A rod of mass M and length L is nonuniform such that its mass per unit length varies with x according to the expression x= a x*, where a is a constant. Find the x coordinate of the center of mass as a fraction of L. on -L▬ O a. 5L/6 O b. 3L/4 O c. 6L/7 O d. 4L/5
A square metal on the left side is a=10 cm 1c=5 cm a=10 cm centered around origin. Calculate the x center of mass xem =? of the metal. The mass density of the metal is p= 7 kg/m³. a=10 cm Ihre Antwort eingeben
Number 2 A thin triangular plate of uniform density and thickness has vertices at vi =(0, 1), v2 figure below, and the mass of the plate is 3 g. a. Find the (x, y)-coordinates of the center of mass of the plate. This "balance point" of the plate coincides with the center of mass of a system consisting of three 1-gram point masses located at the vertices of the plate. 3(8, 1), and V3 D (2, 4), as in the b. Determine how to distribute an additional mass of 6 g at the three vertices of the plate to move the balance point of the plate to (2, 2). [Hint: Let w, w2, and w3 denote the masses added at the three vertices, so that 4 Wi + w + w3 6.]
5. Problem on Co mposide solid [cy linder& Cone) e :-A se lid Cone havim base diameter 6 cm & height 6 m is Rept co-adially on a Solid cylinder havim s cm dinmeter and lo cm high Find C-G } the Combinafion. メ:? Cone 6 om 1ocm rylín- Jev
A cube of side a is cut out of another cube of side b that has a uniform density, as shown in the figure. Express the center of mass FCMof the structure using ijk unit vector notation. Set the origin at the front bottom-left corner of the figure where the dashed lines intersect. 7CM= Question Credit: OpenStax University Physics v1 a b
The moment of the force F=960-lb about the point O in Cartesian vector form is. 1 ft 4 ft 2ft Select one: O a. Mo = 1600 – 3200A O b. Mo = -200j + 400k Oc. Mo =-200; – 400k O d. Mo= 200; + 400k 1:15 PM
4.15. Calculate I,, ly, Iy for the section of Figure P4.9 above. You can use the results from Example B.1.
2000Lbs 30° 60° y A' \ B The bar OA is fully constrained at O and attached to the cable AB. The bar length is 20', and it forms a 30° angle with the z-axis and its projection on the x– y plane forms a 60° angle with the x-axis. The point B is prescribed by the coordinates (8',16',0). If the force in the cable is 2000Lbs, what is the moment of this force about O? What is the moment of the 2000Lbs force about the axis OÁ.
1- In space ,the point can be specified by position vector r wnich is given by: A:r-ix+ jy c r=ix+ jy + kz B:r=ix+ D:r=ix
A uniform rod of length 55.0 cm is tilted above the horizontal at a 20.0 degree angle as shown. It can rotate about an axis of rotation 40.0 cm from the lower end as shown (axis is marked by an X in the picture). It is subject to two forces. Force A acts at the lower end horizontally. Force B acts at the upper end vertically. 15 cm 40 cm 70° 20° A The rod has mass 4.50 kg. What is the rod's moment of inertia about the given axis? am / D 0.113 kgm^2 D 0.454 kgm^2 D 0.0703 kgm^2 O 0.184 kgm^2 O 0.524 kgm^2 D 0.720 kgm^2 O 0.101 kgm^2 ) 0.00586 kgm^2 4:12 am /
4) Use the parallel axis theorem to determine the second moment of mass about the z-axis through the origin for a thin rectangular plate with base b, and height h. Ул ANS. Z 3 [b² + h²] (kg-m^2) h z' b