Is there a formula to find the center (center of mass/centroid) of 3 dimensional objects?

Is there a formula to find the center (center of mass/centroid) of 3 dimensional objects?
by

1 Answer

Answer :

Yes
by

Related questions

Which of the following is not an application of Green’s theorem? a) Solving two dimensional flow integrals b) Area surveying c) Volume of plane figures d) Centroid of plane figures

Description : Which of the following is not an application of Green’s theorem? a) Solving two dimensional flow integrals b) Area surveying c) Volume of plane figures d) Centroid of plane figures

Last Answer : c) Volume of plane figures

Center of pressure on an inclined plane is (A) At the Centroid (B) Above the Centroid (C) Below the Centroid (D) At metacentre

Description : Center of pressure on an inclined plane is (A) At the Centroid (B) Above the Centroid (C) Below the Centroid (D) At metacentre

Last Answer : Answer: Option C

The line of action of the buoyant force acts through the (A) Centroid of the volume of fluid vertically above the body (B) Centre of the volume of floating body (C) Center of gravity of any submerged body (D) Centroid of the displaced volume of fluid

Description : The line of action of the buoyant force acts through the (A) Centroid of the volume of fluid vertically above the body (B) Centre of the volume of floating body (C) Center of gravity of any submerged body (D) Centroid of the displaced volume of fluid

Last Answer : Answer: Option D

Center of buoyancy is the (A) Centroid of the displaced volume of fluid (B) Center of pressure of displaced volume (C) Does not exist (D) None of the above

Description : Center of buoyancy is the (A) Centroid of the displaced volume of fluid (B) Center of pressure of displaced volume (C) Does not exist (D) None of the above

Last Answer : Answer: Option A

The dimensional formula for universal gravitational constant is – (1) M⁻¹L³T² (2) ML²T⁻² (3) M⁻² (4) M⁻¹L³T⁻²

Description : The dimensional formula for universal gravitational constant is – (1) M⁻¹L³T² (2) ML²T⁻² (3) M⁻² (4) M⁻¹L³T⁻²

Last Answer : (4) M⁻¹L³T⁻² Explanation: Universal Constant of Gravitation is represented by G and is derived from Newton's law of gravitation.

The dimensional formula ML⁻¹T⁻² corresponds to – (1) Modulus of elasticity (2) Viscosity (3) Moment of a force (4) Thrust

Description : The dimensional formula ML⁻¹T⁻² corresponds to – (1) Modulus of elasticity (2) Viscosity (3) Moment of a force (4) Thrust

Last Answer : (1) Modulus of elasticity Explanation: M Li- T-2 is the dimension of any quantity that is force per unit area such as Pressure or Stress, Young's Modulus, Bulk Modulus, Modulus of Rigidity, ... the ratio of the stress applied to a body or substance to the resulting strain within the elastic limit.

The dimensional formula ML–1T –2 corresponds to (1) Modulus of elasticity (2) Viscosity (3) Moment of a force (4) Thrust

Description : The dimensional formula ML–1T –2 corresponds to (1) Modulus of elasticity (2) Viscosity (3) Moment of a force (4) Thrust

Last Answer : Modulus of elasticity

Which language in WWW specifies a web's way by describing three- dimensional objects? a. HTML b. VRML c. XML d. UML

Description : Which language in WWW specifies a web's way by describing three- dimensional objects? a. HTML b. VRML c. XML d. UML

Last Answer : b. VRML

Laser beams can generate three dimensional images of objects in a process called a) polygraphy b) telegraphy c) holography d) autography

Description : Laser beams can generate three dimensional images of objects in a process called a) polygraphy b) telegraphy c) holography d) autography

Last Answer : c) holography

Centre of pressure of a plane surface of arbitrary shape immersed vertically in a static mass of fluid(A) Lies above the centroid of the plane surface(B) Is independent of the specific weight of the fluid(C) Is different for different fluids(D) Is at the centroid of the plane surface

Description : Centre of pressure of a plane surface of arbitrary shape immersed vertically in a static mass of fluid (A) Lies above the centroid of the plane surface (B) Is independent of the specific weight of the fluid (C) Is different for different fluids (D) Is at the centroid of the plane surface

Last Answer : (B) Is independent of the specific weight of the fluid

All objects are attracted towards A. center of Earth B. sun C. mars D. moon

Description : All objects are attracted towards A. center of Earth B. sun C. mars D. moon

Last Answer : center of Earth

Define dimensions and dimensional formula of physical quantities. Give few examples of dimensional formula.

Description : Define dimensions and dimensional formula of physical quantities. Give few examples of dimensional formula.

Last Answer : Define dimensions and dimensional formula of physical quantities. Give few examples of dimensional formula.

Let `[epsilon_(0)]` denote the dimensional formula of the permittivity of the vacuum, and `[mu_(0)]` that of the permeability of the vacuum. If `M = m

Description : Let `[epsilon_(0)]` denote the dimensional formula of the permittivity of the vacuum, and `[mu_(0)]` that of the permeability of the vacuum. If `M = m

Last Answer : Let `[epsilon_(0)]` denote the dimensional formula of the permittivity of the vacuum, and `[mu_(0)]` that of the ... . `mu_(0) = [ML^(2)T^(-1)I]`

M L2 T–2 is the dimensional formula for (a) Moment of inertia (b) Pressure (c) Elasticity (d) Couple acting on a body

Description : M L2 T–2 is the dimensional formula for (a) Moment of inertia (b) Pressure (c) Elasticity (d) Couple acting on a body

Last Answer : Ans:(d)

The dimensional formula ML–1T–2 corresponds to –

Description : The dimensional formula ML–1T–2 corresponds to –

Last Answer : Modulus of Elasticity

The dimensional formula of bulk modulus of elasticity is same as that of the (A) Pressure (B) Density (C) Force (D) None of these

Description : The dimensional formula of bulk modulus of elasticity is same as that of the (A) Pressure (B) Density (C) Force (D) None of these

Last Answer : Option A

Two objects A and B are moving with same momentum. Mass of object 'B' is greater then mass of object 'A'. Which of the two object will have higher kinetic energy? -Physics

Description : Two objects A and B are moving with same momentum. Mass of object 'B' is greater then mass of object 'A'. Which of the two object will have higher kinetic energy? -Physics

Last Answer : Let m1​ and m2​ be the masses of the body Let m1​>m2​Given that m1​v1​=m2​v2​v2​v1​​=m1​m2​​∴ Ratio between their kinetic energies , =K2​K1​​=21​m2​v22​21​m1​v12​​⟹K2​K1​​=m2​m1​​×m12​

Direction of momentum is direction of object's A. mass B. acceleration C. velocity D. frictional force

Description : Direction of momentum is direction of object's A. mass B. acceleration C. velocity D. frictional force

Last Answer : velocity

An object is projected vertically upward near the surface of the earth. At the very top of its path, the object's velocity is zero, and its acceleration is: w) 0 x) 9.8 meters per second squared DOWNWARD y) 9.8 meters per second squared UPWARD z) depends on the mass of the object

Description : An object is projected vertically upward near the surface of the earth. At the very top of its path, the object's velocity is zero, and its acceleration is: w) 0 x) 9.8 meters per second squared DOWNWARD y) 9.8 meters per second squared UPWARD z) depends on the mass of the object

Last Answer : ANSWER: X -- 9.8 METERS PER SECOND SQUARED DOWNWARD

When the velocity of an object is tripled, another quantity which is tripled at the same time is the object's: w) momentum x) potential energy y) kinetic energy z) mass

Description : When the velocity of an object is tripled, another quantity which is tripled at the same time is the object's: w) momentum x) potential energy y) kinetic energy z) mass

Last Answer : ANSWER: W -- MOMENTUM

An impulse of 10 kilogram-meter per second acting on an object whose mass is 5 kilogram will cause a change in the objects velocity of: w) 0.5 meters per second x) 2 meters per second y) 10 meters per second z) 50 meters per second

Description : An impulse of 10 kilogram-meter per second acting on an object whose mass is 5 kilogram will cause a change in the objects velocity of: w) 0.5 meters per second x) 2 meters per second y) 10 meters per second z) 50 meters per second

Last Answer : ANSWER: X -- 2 METERS PER SECOND

If the distance between two objects, each of mass 'M', is tripled, the force of attraction between the two objects is: w) 1/2 the original force x) 1/3 the original force y) 1/9 the original force z) unchanged

Description : If the distance between two objects, each of mass 'M', is tripled, the force of attraction between the two objects is: w) 1/2 the original force x) 1/3 the original force y) 1/9 the original force z) unchanged

Last Answer : ANSWER: Y -- 1/9 THE ORIGINAL FORCE 

If length ‘L’, force ‘F’ and time ‘T’ are taken as fundamental quantities, what would be the dimensional equation of mass and density?

Description : If length ‘L’, force ‘F’ and time ‘T’ are taken as fundamental quantities, what would be the dimensional equation of mass and density?

Last Answer : If length ‘L’, force ‘F’ and time ‘T’ are taken as fundamental quantities, what would be the dimensional equation of mass and density?

Point where all weight of object acts is called A. central point B. center of gravity C. edge D. center of mass

Description : Point where all weight of object acts is called A. central point B. center of gravity C. edge D. center of mass

Last Answer : center of gravity

Consider a car driving around a circular bend in the road. Which of the following CANNOT be constant? w) velocity of car x) speed of car y) nonrelativistic mass of car z) angular momentum of the car about the center of the circle

Description : Consider a car driving around a circular bend in the road. Which of the following CANNOT be constant? w) velocity of car x) speed of car y) nonrelativistic mass of car z) angular momentum of the car about the center of the circle  

Last Answer : ANSWER: W -- VELOCITY OF CAR

Two hockey pucks, of unequal mass and connected by a spring of negligible mass, rest on a horizontal frictionless surface. The spring is released, and the pucks move apart. The center of mass of the two pucks does one of the following. Does it: w) move in a circle x) move in the direction of the greater mass y) remain stationary z) move in the direction of the smaller mass

Description : Two hockey pucks, of unequal mass and connected by a spring of negligible mass, rest on a horizontal frictionless surface. The spring is released, and the pucks move apart. The center of mass of ... the direction of the greater mass y) remain stationary z) move in the direction of the smaller mass

Last Answer : ANSWER: Y -- REMAIN STATIONARY

Two point masses, M1 and M2, are 14 centimeters apart. M1 has a mass of 2 grams. M2 has a mass of 5 grams. Locate the center-of-mass of this system. w) 4 cm from M1 x) 4 cm from M2 y) 5 cm from M2 z) 7 cm from M1

Description : Two point masses, M1 and M2, are 14 centimeters apart. M1 has a mass of 2 grams. M2 has a mass of 5 grams. Locate the center-of-mass of this system. w) 4 cm from M1 x) 4 cm from M2 y) 5 cm from M2 z) 7 cm from M1

Last Answer : ANSWER: X -- 4 CM FROM M2

The centroid of the area between the circle x2 + y2 = 16 and the line x + y = 4 will have the coordinates a.(4, 2) b.(2, 4) c.(2.34, 2.34) d.(1.16, 1.16) e.None of the above

Description : The centroid of the area between the circle x2 + y2 = 16 and the line x + y = 4 will have the coordinates a.(4, 2) b.(2, 4) c.(2.34, 2.34) d.(1.16, 1.16) e.None of the above

Last Answer : c. (2.34, 2.34)

Centroid of the are of circle shown in adjacement figure is a.r sin (?/2)/2 ?, 0 b.r sin (?)/?, 0 c.2 r sin (?/2)/?, 0 d.107 dynes e.2r sin (?)/?, 0

Description : Centroid of the are of circle shown in adjacement figure is a.r sin (?/2)/2 ?, 0 b.r sin (?)/?, 0 c.2 r sin (?/2)/?, 0 d.107 dynes e.2r sin (?)/?, 0

Last Answer : c. 2 r sin (?/2)/?, 0

A sphere of radius r is cut from larger sphere of radius R. The distance between their centre is a. The centroid of the remaining valoume lies on the line of centres and the sistanc from the centre of the larger sphere is a.ar2 / (R2 - r2) b.107 dynes c.aR/(R2-r2) d.aR/(R - r) e.ar3 / (R3 - r3)

Description : A sphere of radius r is cut from larger sphere of radius R. The distance between their centre is a. The centroid of the remaining valoume lies on the line of centres and the sistanc from the centre of the larger sphere is a.ar2 / (R2 - r2) b.107 dynes c.aR/(R2-r2) d.aR/(R - r) e.ar3 / (R3 - r3)

Last Answer : e. ar3 / (R3 - r3)

The x coordinate of the centroid of the area enclosed by the parabolas y = x2 and x = y2 will be a.107 dynes b.0.44 c.0.43 d.0.45 e.0.46

Description : The x coordinate of the centroid of the area enclosed by the parabolas y = x2 and x = y2 will be a.107 dynes b.0.44 c.0.43 d.0.45 e.0.46

Last Answer : d. 0.45

The centroid of a triangle is at the inter-section of a.perpendicular bisectors b.107 dynes c.base and perpendicular from opposite vertex d.perpendiculars down from the corners e.medians

Description : The centroid of a triangle is at the inter-section of a.perpendicular bisectors b.107 dynes c.base and perpendicular from opposite vertex d.perpendiculars down from the corners e.medians

Last Answer : e. medians

The y-coordinate of the centroid of the area bounded by the x-axis, the line x = 3 and the parabola y = x2 will be a.2.7 b.2.55 c.107 dynes d.2.6 e.2.65

Description : The y-coordinate of the centroid of the area bounded by the x-axis, the line x = 3 and the parabola y = x2 will be a.2.7 b.2.55 c.107 dynes d.2.6 e.2.65

Last Answer : a. 2.7

If the distance from the vertex to the centroid of an equilateral triangle is 6 cm, then what is the area of the triangle? -Maths 9th

Description : If the distance from the vertex to the centroid of an equilateral triangle is 6 cm, then what is the area of the triangle? -Maths 9th

Last Answer : (b) 27√3 cm2.Let G be the centroid of ΔPQR. Then, PG = 6 cm.Now, \(rac{PG}{GS}\) = \(rac{2}{1}\) ⇒ GS = 3 cm∴PS = PG + GS = 9 cm (i)∴ If a is the length of a side of ΔPQR, then ... = 6√3 cm∴ Area of equilateral ΔPQR = \(rac{\sqrt3}{4}\) (a)2= \(rac{\sqrt3}{4}\) x (6√3)2 cm2 = 27√3 cm2.

G is the centroid of ΔABC with height h units. If a line DE parallel to BC cuts ΔABC at a height h/4 from BC, find the distance GG' in terms of AG -Maths 9th

Description : G is the centroid of ΔABC with height h units. If a line DE parallel to BC cuts ΔABC at a height h/4 from BC, find the distance GG' in terms of AG -Maths 9th

Last Answer : answer:

There are two congruent triangles each with area 198 cm^2. Triangle DEF is placed over triangle ABC in such a way that the centroid of -Maths 9th

Description : There are two congruent triangles each with area 198 cm^2. Triangle DEF is placed over triangle ABC in such a way that the centroid of -Maths 9th

Last Answer : answer:

The co-ordinates of mid-points of sides of a triangle are (1, 2), (0, –1) and (2, –1). Find its centroid. -Maths 9th

Description : The co-ordinates of mid-points of sides of a triangle are (1, 2), (0, –1) and (2, –1). Find its centroid. -Maths 9th

Last Answer : ABCD is a parallelogram, if the mid-points of diagonals AC and BD have the same co-ordinates (∵ Diagonals of a parallelogram bisect each other)Co-ordinates of mid-point of AC are \(\bigg(rac{a+2}{2},rac{-11+15}{2}\bigg)\) = \(\bigg(rac ... \(rac{a+2}{2}\) = 3 and 2 = \(rac{b+1}{2}\) ⇒ a = 4, b = 3.

If (0, 0) and (2, 0) are the two vertices of a triangle whose centroid is (1, 1), then the area of the triangle is: -Maths 9th

Description : If (0, 0) and (2, 0) are the two vertices of a triangle whose centroid is (1, 1), then the area of the triangle is: -Maths 9th

Last Answer : (b) \(\bigg(rac{2\sqrt{13}+20\sqrt2}{\sqrt{13}+\sqrt{17}+5\sqrt2},rac{8\sqrt{13}-6\sqrt{17}}{\sqrt{13}+\sqrt{17}+5\sqrt2}\bigg)\)Let A(x1, y1), B(x2, y2), C(x3, y3) be the vertices of ΔABC the ... +6)^2}\) = \(\sqrt{4+196}\) = \(\sqrt{200}=10\sqrt{2}\)∴ Co-ordinates of incentre of Δ ABC are

which statement is true the centroid and the circumcenter are the same point?

Description : which statement is true the centroid and the circumcenter are the same point?

Last Answer : the centroid is the balance point of the triangle

what- Point X is the centroid of the triangular plate.Which measure cannot be calculated from the information given?

Description : what- Point X is the centroid of the triangular plate.Which measure cannot be calculated from the information given?

Last Answer : XP

Is this statement true or falseThe centroid of a triangle is the point of concurrency of the medians of the triangle?

Description : Is this statement true or falseThe centroid of a triangle is the point of concurrency of the medians of the triangle?

Last Answer : 1

what- Point M is the centroid of which figure?

Description : what- Point M is the centroid of which figure?

Last Answer : figure 2

If G is the centroid of `Delta ABC`, then the area of `Delta BGC` is `"_______________"` times the area of quadrilateral ABCG.

Description : If G is the centroid of `Delta ABC`, then the area of `Delta BGC` is `"_______________"` times the area of quadrilateral ABCG.

Last Answer : If G is the centroid of `Delta ABC`, then the area of `Delta BGC` is `"_______________"` times the area of quadrilateral ABCG.

If the centroid of △ABC in which A(a,b), B(b,c) and C(c,a) is at the origin, then the value of a3 + b3 + c3 is: (a) abc (b) 2abc (c) 3abc (d) 0

Description : If the centroid of △ABC in which A(a,b), B(b,c) and C(c,a) is at the origin, then the value of a3 + b3 + c3 is: (a) abc (b) 2abc (c) 3abc (d) 0

Last Answer : (c) 3abc

The centre of pressure is (A) Always below the centroid of the area (B) Always above the centroid of the area (C) A point on the line of action of the resultant force (D) At the centroid of the submerged area

Description : The centre of pressure is (A) Always below the centroid of the area (B) Always above the centroid of the area (C) A point on the line of action of the resultant force (D) At the centroid of the submerged area

Last Answer : (C) A point on the line of action of the resultant force

The line of action of the buoyant force acts through the (A) Centroid of the displaced volume of fluid (B) Centre of gravity of a submerged body (C) Centroid of the volume of any floating body (D) None of these

Description : The line of action of the buoyant force acts through the (A) Centroid of the displaced volume of fluid (B) Centre of gravity of a submerged body (C) Centroid of the volume of any floating body (D) None of these

Last Answer : (A) Centroid of the displaced volume of fluid

A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be (A) p/a² (B) 2p/a² (C) 3p/a² (D) 4p/a²

Description : A square column carries a load P at the centroid of one of the quarters of the square. If a is the  side of the main square, the combined bending stress will be  (A) p/a² (B) 2p/a² (C) 3p/a² (D) 4p/a²

Last Answer : (C) 3p/a²

Pick up the correct statement from the following: (A) For channels, the shear centre does not coincide its centroid (B) The point of intersection of the bending axis with the cross section of the beam, is called shear centre (C) For I sections, the shear centre coincides with the centroid of the cross section of the beam (D) All the above

Description : Pick up the correct statement from the following:  (A) For channels, the shear centre does not coincide its centroid  (B) The point of intersection of the bending axis with the cross section ... shear centre coincides with the centroid of the cross section of the beam  (D) All the above

Last Answer : (D) All the above

The neutral axis of a beam cross-section must (A) Pass through the centroid of the section (B) Be equidistant from the top of bottom films (C) Be an axis of symmetry of the section (D) None of these

Description : The neutral axis of a beam cross-section must (A) Pass through the centroid of the section (B) Be equidistant from the top of bottom films (C) Be an axis of symmetry of the section (D) None of these

Last Answer : (A) Pass through the centroid of the section

The line of action of the buoyant force acts through the Centroid of the (A) Submerged body (B) Volume of the floating body (C) Volume of the fluid vertically above the body (D) Displaced volume of the fluid

Description : The line of action of the buoyant force acts through the Centroid of the (A) Submerged body (B) Volume of the floating body (C) Volume of the fluid vertically above the body (D) Displaced volume of the fluid

Last Answer : Answer: Option D