When the product of inertia will be zero?

Q: Give the physical significance of moment of inertia.

A: The moment of inertia is defined as " it is the quantitative measurement of rotational inertia of…

Q: How is the polar moment of inertia defined?

A: Moment of inertia is the capability of a body to resist against any angular deformation.…

Q: What are products of inertia?

A: The products of inertia are the measure of symmetry in a body. Products of inertia can be calculated…

Q: What is the product of inertia?

A: The product of inertia is an essential factor in the rotational motion of objects. The value of the…

Q: What is principal moments of inertia?

A: The general word ‘Moment of inertia’ is used in two contexts, First in place of the second moment of…

Q: What is the triangle’s moment of inertia about an axis perpendicular to the screen and passing…

A: Given data: s=89 mmm=0.4 kg/m Need to determine the moment of inertia about point O and G.

Q: Define mass moment of inertia.

A: It is the quantity expressing a body’s tendency to resist angular acceleration. Body with more…

Q: 1.  DETERMINE THE MOMENT OF INERTIA OF THE SHADED SECTION ABOUT THE GIVEN X-AXIS.

A: The schematic diagram is Part 1:- A semi-circle OABC whose radius is 3" Part 2:- A square OCDF…

Q: What is the Polar Moment of Inertia?

A: The polar moment of inertia of an area is the second moment of area about an axis perpendicular to…

Q: Find Ix, ly, radii of gyration and product of inertia.

A: The schematic diagram of the given figure is Part 1 :- A triangle OAD whose sides are 100 and 300…

Q: A wheel has a string of length 4m wrapped round its shaft. The string is pulled with a constant…

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Q: Why the moment of inertia is always a positive quantity?

A: The moment of inertia is defined as : Here m is the mass in kg And k is the radius of gyration in…

Q: What are the maximum and minimum values of the principal moment of inertia (Imax =?, Imin =?)

A: The moment of inertia about x-axis, Ixx=1220312-12-2×28312=7658.667 cm4

Q: Give one scenario / problem-solving question about "Moment of Inertia - Area Moment of Inertia" and…

A: Mass moment of Inertia and Area moment of inertia are two different concepts. The difference is such…

Q: What is moment of inertia?

A: Moment of inertia is a measurement of inertia of the rotational body. It is specified or measured…

Q: Find Moment Of Inertia Of Parallelogram

A: Moment of inertia of parallelogram :-

Q: What is the polar moment of inertia and the corresponding radius of gyration ko

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Q: %increase in mass moment of inertia

A: Given data: A rigid body as shown in fig:  ⇒  a has a mass =10 kg   ⇒ ba balancing mass=20 kgIt…

Q: Given the theoretical expression for moment of inertia of a point mass, Im=MR2 what is the slope and…

A: a theoretical expression for moment of inertia of a point mass, Im=MR2  now plotting log Im vs log R…

Q: The higher polar moment of inertia means?

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Q: 6. Find Ix, ly, radii of gyration and product of inertia.

A: The schematic diagram of the given figure is Part 1 :- A triangle OAD whose sides are 100 and 300…

Q: Calculate the moment of inertia of 1H19

A: Given Data1H19Bond Length Takenro=0.91×10-10m

Q: Fill in the blanks 1 The polar moment of inertia is equal to moments of inertia about x and y аxes.…

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Q: what is moment lf interia ? Moment of inertia is dependent on what factors ?

A: Moment of interia (MOI): it is define as a measure of rotational interia. It tells us that how hard…

Q: inertia (in kg.m) of a flywheel t

A: Given data, Maximum fluctuation of KE in an engine has been calculated to be= 2600 JAverage speed…

Q: What are the centroidal moments of inertia: Ix2, Iy2, Ix4, and Iy4, of shape 2 and 4?

A: we have to evaluate centroidal MOI

Q: What is principal axes of inertia?

A: The moment of force about a point is equal to the equal to the product of force (P) and…

Q: Activity 1. Find the polar moment of Inertia of two circles each with radius r with respect to their…

A: The polar moment of inertia of the circular cross-section about their centroid can be expressed as,…

Q: What is the moment of inertia of the pendulum about an axis perpendicular to the screen and passing…

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Q: Gives some 1 Example with solution about the Maximum and Minimum Moments of Inertia Using Mohr's…

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Q: moment of inertia of the flywheel is

A: Given; A flywheel is attached to an engine to keep its rotational speed between; ωmax=110…

Q: For problem F10-1. Determine the moment of inertia of the shaded area about the x axis.   How do…

A: According to the problem, the moment of inertia of the shaded area about the x-axis is,…

Q: The moment of inertia of a planet revolving around a star is treated like a point mass.  Using the…

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Q: Moment of inertia is dependent on what factors ?

A: The moment of inertia of any object is majorly dependent on the following factors: The density of…

Q: nd moment of inertia

A: Given data; A rigid body having mass (m) =10 kg Balancing mass (M) =20 kg therefore ,acc. to fig the…

Q: Prove that If the principal axes are along coordinate axes, then the products of inertia are zero…

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Q: Does the product of inertia for the total area become zero?

A: It is possible for the product of inertia to have a positive, negative, or even a zero value.

Q: Find the moment of inertia for a stick of length "a" and its distance from the axis of rotation "b"…

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Q: What is the moment of inertial of a circle of radius 3.5 m about its own centroidal axis?

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Q: nt of inertia Ix (in

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Q: When the inertia tensor is said to be diagonalized?

A: The matrix form of the inertia tensor, Here, I is the inertia tensor. Ixx is the moment of inertia…

Q: Find moment of inertia Ix and Iy with respect to centroidal axis using parallel axis theorem

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Q: The moment of inertia about X- axis for the shaded area shown in fig. * : is 4m 本ml

A: Moment of inertia of an area is defined as the product of area and the distances of its center from…

Q: What is moment of inertia of a rigid object? Explain with the help of proper diagrams

A: The moment of inertia of a body is the tendency of the body to resist the angular acceleration,…

Q: the x-centroidal Solve meoment of inertia a long centrodal axis and monnent uf IneAIG along the x'-…

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Q: Moment of inertia of a square about its centroidal axis decreases with decrease in side of the…

A: Since the moment of inertia also depend on area,it is very clear if we increase the  side of square…

Q: . resist rotation. oment of inertia oment of inertia oment of inertia

A: The moment of inertia could be a property of the dissemination of mass in space that measures…

Q: Rotattional Inertia of a two-particle system a-) What is the rotational inertia ( lcom) about an…

A: Rotational moment of inertia   From parallel axis theorem through the asked point about the center…

Q: What is the relation between moment of inertia and angular velocity?

A: The notation for the moment of inertia is I. And, the notations for the angular velocity is ω. The…

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.