The pendulum consists of two slender rods AB and OC which have a mass per unit length of 3.00 kg/m. The thin plate has a mass of 12 kg/m-. Determine the moment of inertia of the pendulum about an axis perpendicular to the page and passing through the pin at O.

The pendulum consists of two slender rods AB and OC which have a mass per unit length of 3.00 kg/m. The thin plate has a mass of 12 kg/m-. Determine the moment of inertia of the pendulum about an axis perpendicular to the page and passing through the pin at O.

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 8.75P

See similar textbooks

Related questions

Q: A foreman is exposed to the hand tool vibration for 31 minutes with the vibration values of ax = 44 ...

Q: Collar A starts from rest and moves upward with a constant accelera- tion. Knowing that after 8 s th...

Q: force of F = 50 N acting on a ring is shown in Figure 2.3. Express the force as a artesian vector.

Q: Given data : m=10 kg v=22 m/s Determine kinetic energy

Q: he tensile curve of a material is given. a) Mark the strength points of the material on the curve. b...

A: Given: The tensile curve of a material

Q: The bar shown in figure 1 is tested in the universal testing machine. It is observed that at a load ...

A: P=40 kNTotal extension ∆δ=.285 mm

Q: Reg.no : 5395 Pb # 6: At its optimum point of operation, a given centrifugal pump with an im...

Q: Calculate the air velocity at ports 1 and 2 if the water column pressure difference is 8.5 cm. Air a...

A: At 1, velocity = 0 At 2, velocity = 36.52 using Stagnation pressure = static pressure + dynamic pre...

Q: (a) For each of the topics below, give ONE example demonstrates the application of mechanical scienc...

A: i) Static electricity is the result on an accumulation of electric charges that occurs when two non ...

Q: A piston contains 320 moles of an ideal monatomic gas that initally has a pressure of 2.38 x 10* Pa ...

Q: DENTIFICATION: ___________1. It is also known as roll forming. ___________2. It is the most comm...

A: To identify the correct process

Q: Orthogonal turning is performed on a cylindrical workpiece with shear strength of 250 MPa. The follo...

Q: upported at one end anc ction. The coefficient of fa ver cylinder and belt is 0.

Q: A ski is made up of: 1. Top. Polyamide polymer that has a relatively low glass transition temperatur...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Consider a 210-MW steam power plant that operates on a simple ideal Rankine cycle. Steam enters the ...

Q: For a worker that exposed frequently to hand-arm vibration, it can lead to two forms of permanent il...

Q: Determine the material property of the materials from the following website. Material Property Data ...

A: GIVEN = C1045 CARBON STEEL

Q: Consider the steady flow with velocity given by v(x, t) = (v1(x2), 0, v3 (x2))" . Choose the express...

A: Correct answer: (c) a(x,t) = 0

Q: b) Draw the projections of a cylinder of 75 mm diameter and 100 mm long lying on the ground with its...

A: The projection of the cylinder is as shown below,

Q: The internal drag truss for the wing of a light airplane is subjected to the forces shown. Determine...

Q: Try One scene 13 of 13 Bar properties 800 mm Determine the internal forces and normal 500 mm? stress...

Q: An oil of viscosity 0.8 Pa-s and specific gravity 1.2 flows through a horizontal pipe of 80 mm diame...

Q: A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected to a ...

Q: Calculate the magnitude and direction,

A: Need To calculate Magnitude and direction

Q: A bar ACB has is subjected to an external load at C, and it is supported either end by a cable as sh...

Q: n a Rankine cycle, the enthalpies at turbine entry and outlet are 3159 kJ/kg and 2187 kJ/kg. respect...

A: Given: The rankine cycle,h1=3159 kJ/kgh2=2187 kJ/kgpump work, wp=2 kJ/kg

Q: A piston contains 320 moles of an ideal monatomic gas that initally has a pressure of 2.38 x 10° Pa ...

A: A quasi-static process (also known as a quasi-equilibrium process; from the Latin quasi, meaning 'as...

Q: se two metals due to their crystal structures.

A: Differences between Gold( Au) and Chromium( Cr) metals, Based on their Structure.

Q: Water flows into the sink shown in the figure below at a rate of 2 . If the drain is closed, min the...

A: As per given question Q=2gal/min D2=0.4 in We have to determine require hole for ensure that the wa...

Q: An ideal gas Diesel engine, that has an inlet temperature, pressure and compression ratio of 21 0C a...

A: T1=21°C+273=294 KP1=102 kPar=v1v2=19T3=Tmax=1234°C+273=1507 Kcp=1.005 kJ/kgK ,cv=.717 kJ/kgK

Q: Sound Power Level, Lw is measured as the total acoustic power emitted by a source in all directions ...

A: LW = 10 log ( P/P0 ) , sound power level reference value P0 =10-12 W P = 2*9*4 W = 72W LW = 10 ...

Q: Q2. A concentric annulus tube has inner and outer diameters of 25 mm and 100 mm, respectively. Liqui...

A: Given Data The inlet temperature is: Ti=20°C The outlet temperature is: Te=80°C The inner diameter ...

Q: A simple ideal Rankine cycle which uses water as the working fluid operates its condenser at 40C and...

Q: C. From the given coplanar force system which consists of two forces and one couple. Replace the for...

Q: lar collecting panel 20 m2 in area receives solar energy at the rate of 750 W/m2. It is estimated th...

A: we have to evaluate the outlet temperature, we will use simple calorimetry

Q: One dimensional steady conduction equation without any energy generation is a linear ODE. True ...

Q: (a) Explain the basic concept of thermodynamics. (b) Discuss the two primary classes of thermodynami...

A: Thermodynamics:- It is the study of relations between heat , work temperature and energy. The laws ...

Q: when an electron and a photon of the same kinetic energy encounter a potential barrier of the same h...

A: Expression for transmission probability is given as: T(L,E)=16EUO(1-EUO)e-2βLHere L is the barrier w...

Q: A condenser of a refrigeration system rejects heat at a rate of 120 kW, while is compressor consumes...

A: Given:heat rejection, Q1=120 kWcompressor input, W=30 kW

Q: Use your calculation to show me: | sin 0 do = 0 27 sin? 0 de = n

Q: During its final approach to the runway, the aircraft speed is reduced from 326 km/h at A to 210 km/...

A: Given data: v=210 km/h=58.33 m/su=326 km/h=90.556 m/sdx=2 km=2000 mdy=270 m Need to determine the ae...

Q: AIR IS FLOWING IN A DUCT WITH VELOCITY OF 7.62 M/S, AND A STATIC PRESSURE OF 2.16 CM WATER GAUGE. TH...

A: Given, Velocity, v = 7.62 m/sec Head of Water, HW = 2.16 cm Diameter, d = 1.22 m Patm = 99.4 kPa T =...

Q: A 50 kN block is resting on a horizontal plane with a coefficient of statics friction of 0.3. Determ...

A: The necessary information given in the question is written below as- The static friction coefficient...

Q: Q3-Draw the shear force and bending moment diagrams for the beam shown in Figure (3). 10 kip Skip 2 ...

A: As it is a cantilever beam so there is no need to find reactions.

Q: The internal drag truss for the wing of a light airplane is subjected to the forces shown. Determine...

Q: Consider a 210-MW steam power plant that operates on a simple ideal Rankine cycle. Steam enters the ...

Q: ic gravity 1.2 long pipe is 1

Q: 3. Determine the Angles f and 0 so that the forces shown will be in equilibrium. Use equilibrium for...

Q: prted at one end an 1. The coefficient of =ylinder and belt is C enable the weight

A: given:

Q: ive two examples for each crystal structure in: a.SCC b.BCC c.FCC d.HCP

A: To give two examples of each crystal structures.

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

0.4m-0.4 m-
1.5 m
0.1 m
%23
03m
The pendulum consists of two slender rods AB and OC which have a
mass per unit length of 3.00 kg m The thin plate has a mass of 12 kg m
Determine the moment of inertia of the pendulum about an axis
perpendicular to the page and passing through the pin at 0

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 3

VIEW

Step by step

Solved in 3 steps with 3 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

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 rotational inertia of the device shown below. R = 0.50 m, r = 0.2 m, the mass of the box is 30 kg. When Fapp= 176 N, the box has an upward acceleration of 0.8 m/s2. Use g = 9.8 N/kg.
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
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
A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by ka = 3,000 N-m/rad and ka = 4.000 N-m/rad. The turbine generates a harmonic torque given by M(t) = M, cos at about the shaft axis with M, = 200 N-m and e = 500 rad/s. The mass moment of inertia of the rotor about the shaft axis is Jo = 0.05 kg-m. Assuming the equivalent torsional damping constant of the system as e, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, )
The pendulum consists of two rods AB and OC, which have a mass density of 3kg/m. The thin disk has a mass of 12 kg/m2. Determine the location of the center of mass of the pendulum, calculate the mass moment of inertia about the axis perpendicular to the sheet and passing through point O. Report only the moment of inertia in terms of [kg m2].
The passengers, the ship and the structure have a total mass of 73 Tons, their center of mass in G, and a radius of gyration with respect to B of kB = 3.5 m. Additionally, the 3-ton steel block at point A can be considered as a point of concentrated mass. If the ship rotates freely at 9.3 rad/s when it reaches the lowest point, as shown in the figure, determine the moment of inertia of the system about pivot B (in kgm2) The angular acceleration for the position shown (in rad/s2) is: The vertical reaction at pivot B (in N) is: The horizontal reaction at pivot B (in N) is:
The pendulum consists of two rods AB and OC, which have a mass density of 3kg/m. The thin disk has a mass of 12 kg/m2. Determine the location of the center of mass of the pendulum, calculate the mass moment of inertia about the axis perpendicular to the sheet and passing through point G. Report only the moment of inertia in terms of [kg m2].
This question is specifically a Statics problem. Determine the moment of inertia of the shape with respect to the horizontal axis passing through its centroid.
The thin plate has a mass per unit area of 10 kg/m2. Determine its mass moment of inertia (MMI) about the z axis:
A caravan weighs 28 kN. It has a wheel base of 2 m, track width 1m and height ofC.G. 300 mm above the ground level and lies midway between the front andrear axle. The engine flywheel rotates at 2950 rpm clockwise when viewed from thefront. The moment of inertia of the flywheel is 4 kg-m 2 and moment of inertia ofeach wheel is 3 kg-m 2 . Find the reactions between the wheels and the ground whenthe car takes a curve of 15 m radius towards right at 30 km/h, taking intoconsideration the gyroscopic and the centrifugal effects. Each wheel radius is 400 mm.
The assembly shown in the figure is made up of a disk, a bar, and a sphere. Disk A is pinned at O and has a weight of 18.0 lb. The 1-ft rod, weighing 2.7 lb, and the 1-ft-diameter sphere, weighing 11.5 lb, are welded to the disk as shown. A. Determine the mass moment of inertia of the assembly with respect to an axis perpendicular to the screen and passing through point O. Express the answer in slug.ft2 B.If the spring is initially deformed by 0.9 ft and the sphere is released from rest in the position shown, determine the elastic potential energy of the spring at the initial position. Express the answer in ft.lb. C. Determine the elastic potential energy of the spring when the entire assembly has rotated 45°. Express the answer in ft.lb. D.Determine the magnitude of the gravitational potential energy of the assembly when it has rotated 45°. Express the answer in ft.lb. E.