The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y axis. What percentage errore is introduced by using the approximate relation 1/3 ml2 for lxx? 185 445 185 Dimensions in millimeters 40 140

The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y axis. What percentage errore is introduced by using the approximate relation 1/3 ml2 for lxx? 185 445 185 Dimensions in millimeters 40 140

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 9.36P: Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin...

See similar textbooks

Related questions

Q: * The shear stress distribution for a fluid flowing in between the parallel plates, both at rest, is…

Q: Oil at 500K is to be cooled at 5000K in a counter current exchanger using cold water available at…

Q: A system contains water at temperature T = 700 °C, and specific enthalpy h=3462.15 kJ/kg. Determine…

A: Given data, Water is the working fluid T = 700°C = 973.15 K h = 3462.15 kJ/kg Find specific entropy…

Q: There are two carnot engines A and B operating in two different temperature regions. For engine A…

Q: 60 KN 20 kN/m 40 kN B -2m-2m-2 m-4m- 50 kN E 50 mm 120 mm L 120 mm T 50 mm

Q: A closed system consists of a fixed amount of mass and mass may cross the system boundary.

Q: 2. You are heading over to get some Gatorade out of the cooler when a clumsy teammate breaks the tap…

A: Given data: Height of gatorade = h = 85 cm Area of hole = A = 7.85 x 10-5 m2Density = ρ = 1000 kg/m³

Q: If y₁ and y2 are linearly independent solutions of t² y″ + 2y′ + (5 + t)y = 0 and if W(y1₁, y2)(1) =…

A: Given: Let us consider the given differential equation, t2yιι+2yι+5+ty=0 -----1 Wy1,y21=4 To find:…

Q: Q₁) You have the following types of the fuel C₂H6, C8H18, and C₂H6O. Decide which fuel is better…

Q: Thermodynamics that takes place at a constant temperature is called Heat Capacity Enthalpy…

A: Given data To select the correct option.

Q: The Carnot cycle is composed of four reversible processes two isothermal and two adiabatic and it…

A: carnot cycle was developed by physicist Sai carnot. Carnot cycle only exist in ideal case , it…

Q: 02: As shown in figure (2), when the pump develops (7.5m) of head, and the velocity of flow through…

Q: * In the spillway flow of Fig.(2),the flow is assumed uniform and hydro static at section 1 and 2.…

A: Given data: h1=5 mh2=0.7 m Need to determine the value of V1,V2 and force Fx per unit width of the…

Q: (11) Two charged dust particles exert a force of 3.2 x 10 N on each other. What will be the force if…

A: The force if they are moved so they are only one-eights as far apart is 2.048 N.

Q: Suggest and explain in detail one heat treatment procedure that can strengthen or harden (the…

A: Introduction: Heat treatment is a manufacturing process in which a material, often metal or alloy,…

Q: Q2/ In Fig. 2 both the tank and the tube are open to the atmosphere. If L=2.13 m, what is the angle…

A: Given data as per the question Length =2.13 m The specific gravity of oil =0.8

Q: An isolated system is a general system and is normally a collection of a main system and its…

Q: In SI system the units is kg.m2/s2 is equale: Newton O Joule O Pascal None of the these O kinetic…

A: 1 kg.ms2= 1 N 1 N.m= 1 J

Q: Section A (An Q1(a) Explain types of pin jointed frames with examples.

A: given; explain type of pine joined frames with examples.

Q: Show in Figure 1 is the water flow system. The velocity head difference is . Volume flow rate is .…

A: Given data: v12-v222g=2 mQ=0.5 m3/sh1=1.0 mh2=2.0 mPo=7,848 kWeM, motor=80%hA=3.0 mhL=0.2 m Need to…

Q: 25. In a Brayton cycle, the compression ratio of compressor is 8. Find the cycle efficiency of the…

Q: A 15 mm diameter cylindrical nuclear fuel rod is housed in a hollow ceramic cylinder concentric to…

A: Given Radius, r1 = 7.5 mm r2 = 17.5 mm r3 = 55 mm Heat transfer…

Q: If the power generated by a wind system at a height of 50m is equal to 30kw at a wind speed equal to…

A: Write the given data. P1=30 kWP2=1.530 kW=45 kWv1=4 m/s

Q: Q1): Determine the general solution of the O.D.E: (1-x) y'-y² =0

Q: A vertical rectangular plane surface is submerged in water such that its top and bottom surfaces are…

Q: The rod has a diameter of 0.5 in. and a weight of 5 lb/ft. i) Calculate the torque and bending…

A: Given data: Diameter of the rod D = 0.5 in = (0.5/12) = 0.04167 ft weight of the rod, W = 5 lb/ft If…

Q: Which of the following processes cannot be operated by drill machine? A. Boring B. Grinding C.…

Q: There are two carnot engines A and B operating in two different temperature regions. For engine A…

A: Given data: Reservoir temperatures of Engine A : 150°C and 100°C Reservoir temperatures of Engine B…

Q: If the allowable bearing stress for the material under the supports at A and B is O₂ = 840 psi,…

A: Answer: Pmax = 11600 lb

Q: There are four forces acting on a pole, one points north, one points south, one points east, and the…

A: When forces are acting on an object or an body and if the body is in rest condition or in…

Q: The compressor tank that holds 80L of air during compression of pressure of 250kpa and the…

A: The gas which follows PV=mRT equation is known as Ideal Gas Equation. There are two conditions which…

Q: * In series-pipe problems the discharge through each pipe is added to obtain total discharge

Q: Q/ Discuss briefly on materials selection for wear resistance

A: The process of designing any physical thing includes the choice of materials. The major objective…

Q: A cylindrical work part 200 mm in diameter and 700mm long is to be turned in an engine lathe.…

A: Given:D=200 mmL=700 mmV=2.3 m/sf=0.32 mm/revd=1.8 mm

Q: * For measuring flow by aventurimeter, if should be installed :in Inclined line. O Vertical line. O…

A: Option (e) : In any direction and in any location

Q: The coefficint of friction is if A 3.0 kilogram block is sliding down a 25° incline at a constant…

Q: You are asked to determine the heat loss from a very thin spherical cap containing a hot fluid at a…

Q: The 61-lb crate slides down the curved path in the vertical plane. If the crate has a velocity of…

Q: The crate with a mass of 80 kg is being towed by a chain which is directed at 20°. Find the crate…

Q: Adiabatic process takes place so fast that there is no time for heat to be transferred. True O False

A: Concept: 1.Adiabatic process is an thermodynamic process during which heat transfer is zero. 2.This…

Q: 2) An idealized free-body diagram of a door handle is shown below. To simplify, member X-Y is only…

A: Given: Let us consider the given data, M=1500×0.100=150 NmT=1500×0.2=300 Nmdiameter,d=20 mm=bσ= 3MPa

Q: 2. Two horses pull horizontally on ropes attached to a stump. The two forces F1 and F2 that they…

A: Given :- Force (F1) = 1300 N Resultant Force (R) = 1300 N Angle (θ) = 90° To Find:- Magnitude of…

Q: 2.) Two forces, F₁-(100 i -100 j) N and F2-(-30 i +160 j-50 k) N are acting on the bent pipe as…

Q: 2- (Initial Value Problem in the Case of a Double Root) Solve the initial value problem y" + y +…

Q: Q2: As shown in figure (2), when the pump develops (7.5m) of head, and the velocity of flow through…

Q: In the metric engineering system a common unit is the kilojoul force per square centimeter. True O…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. The…

Q: The block A is subjected to a pulling force p along the cable. If the weight is 100 N and the…

A: Given: W = 100 N friction coefficient = 0.3 angle = 30 degree

Q: The cable is subjected to a uniform loading of Determine the maximum and minimum tension in the…

Q: The pinion engages with the zippers. If these move with the velocities shown, calculate the angular…

Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y axis. What percentage error e is
introduced by using the approximate relation 1/3 ml² for lxx?
Answers:
lyy=
e=
i
i
-185
y
445
185
Dimensions in millimeters
740
140
kg.m²
%

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 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

Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin ring (tR) by integration.
Determine the moment of inertia of mass with respect to the x' axis that passes through the structure's center of gravity and is parallel to the x axis. The cone has a density of 6000 kg/m3 and the cylinder a density of 8000 kg/m3. Consider H = 83
Determine the moment of inertia of the homogenous triangular prism with respect to the y axis. Express the result in terms of the mass m of the prism. Hint: For integration, use thin plate elements parallel to the x–y plane having a thickness of dz.
Determine the moment of inertia of the homogenous triangular prism with respect to the y axis. Hint: For integration, use thin plate elements parallel to the x-y plane having a thickness of dz. Express your answer in terms of the variables a, b, h, and m.
Determine the moment of inertia of the thin plate about an axis perpendicular to the page and passing through the pin at O. The plate has a hole in its center. Its thickness is 50 mm and the material has a density of 50 kg/m^3
Two identical solid spheres are attached on the 2cm diameter solid rod with the density of 7750 'kg/m³. Calculate moment inertia about P- P axis of a lamina. The measurements are in cm. 3 kg 5 kg 10 cm 50 cm 40 cm
A) Determine the position of the center of gravity of the figure's structure. B)Determine the moment of inertia of mass with respect to the x' axis that passes through the structure's center of gravity and is parallel to the x axis. The cone has a density of 600 kg/m3 and the cylinder a density of 800 kg/m3. Consider H = 83
Find the Moment of Inertia of the plate as shown in figure, passing through its centroid with reference to Y -Y axis. Where b1 = 55 mm, d1=110 mm, b2=160 mm, d2=30 mm, b3=65mm, d3=24mm. The value of is (unit in mm) = ______________ Answer for part 1 The value of is (unit in mm) = ______________ Answer for part 2 The value of total for the given plate is (unit in mm4) =________________ Answer for part 3
Determine the moment of inertial about an axis perpendicular to the page and passing through the pin at O. The thin plate has a hole in its center. Its thickness is 50 mm and the material has a density of ρ = 50 kg/m^3
Determine the moment of inertia about the horzontal axis through the centroid, x bar of the composite shape. Also, determine the moment of inertia about the vertical axis through the centroid, y bar of the composite shape
The density of the material is 7.85 Mg / m3. (Figure 1) Determine the mass moment of inertia of the assembly about the z axis. Express your answer to three significant figures and include the appropriate units.
Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=110 mm, d1=35 mm, b2= 62 mm & d2=108mm. (i) The X with bar on top value is (unit is in mm) = ______________ (i) The Y with bar on top value is (unit is in mm) = ______________ (iii) the Ixx1 value is (unit is in mm4)= ______________ (iv) the Ixx2 value is (unit is in mm4)= ______________ (v) The Ixx value is (unit is in mm4)=