The units of moment of inertia of an area are (A) kg m² (B) m 4 (C) kg/m² (D) m

Description : A 8 metre long simply supported rectangular beam which carries a distributed load 45 kg/m. experiences a maximum fibre stress 160 kg/cm2 . If the moment of inertia of the beam is 640 cm4 , the overall depth of the beam is (A) 10 cm (B) 12 cm (C) 15 cm (D) 18 cm

Last Answer : (A) 10 cm

What is the unit of relative density? (1) kg/m (2) kg/m² (3) kg/m³ (4) It has no unit

Description : What is the unit of relative density? (1) kg/m (2) kg/m² (3) kg/m³ (4) It has no unit

Last Answer : (4) It has no unit Explanation: Relative density is the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material. So, it is a dimensionless quantity and has no unit.

Calculate the Polar moment of inertia in m 4 of a single motor system from the following data: C = 8 GN/m 2 , L=9m, I = 600 Kg-m 2 , f=10 Hz a) 0.00027b) 0.00032 c) 0.00045 d) 0.00078

Description : Calculate the Polar moment of inertia in m 4 of a single motor system from the following data: C = 8 GN/m 2 , L=9m, I = 600 Kg-m 2 , f=10 Hz a) 0.00027b) 0.00032 c) 0.00045 d) 0.00078

Last Answer : a) 0.00027

A pressure of 25 m of head of water is equal to (A) 25 kN/ m² (B) 245 kN/ m² (C) 2500 kN/m² (D) 2.5 kN/ m²

Description : A pressure of 25 m of head of water is equal to (A) 25 kN/ m² (B) 245 kN/ m² (C) 2500 kN/m² (D) 2.5 kN/ m²

Last Answer : Answer: Option B

If M, I, R, E, F, and Y are the bending moment, moment of inertia, radius of curvature, modulus of elasticity stress and the depth of the neutral axis at section, then (A) M/I = R/E = F/Y (B) I/M = R/E = F/Y (C) M/I = E/R = E/Y (D) M/I = E/R = Y/F

Description : If M, I, R, E, F, and Y are the bending moment, moment of inertia, radius of curvature, modulus of elasticity stress and the depth of the neutral axis at section, then (A) M/I = R/E = F/Y (B) I/M = R/E = F/Y (C) M/I = E/R = E/Y (D) M/I = E/R = Y/F

Last Answer : (C) M/I = E/R = E/Y

If Z and I are the section modulus and moment of inertia of the section, the shear force F and bending moment M at a section are related by (A) F = My/I (B) F = M/Z (C) F = dM/dx (D) F Mdx

Description : If Z and I are the section modulus and moment of inertia of the section, the shear force F and bending moment M at a section are related by (A) F = My/I (B) F = M/Z (C) F = dM/dx (D) F Mdx

Last Answer : (C) F = dM/dx

The units of moment of inertia of mass are?

Description : The units of moment of inertia of mass are?

Last Answer : Moment of inertia mass*velocity [Kg M T'-1]

A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m units would be a.8i - 6j - 3k b.12i - 3j + k c.16i - 12j - 6k d.4i - 3j + k e.8i + 5j + 3k

Description : A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m ... .8i - 6j - 3k b.12i - 3j + k c.16i - 12j - 6k d.4i - 3j + k e.8i + 5j + 3k

Last Answer : a. 8i - 6j - 3k

The radius of gyration of a rectangular section is not proportional to (A) Square root of the moment of inertia (B) Square root of the inverse of the area (C) Square root of the moment of inertia divided by area of the section (D) None of these

Description : The radius of gyration of a rectangular section is not proportional to (A) Square root of the moment of inertia (B) Square root of the inverse of the area (C) Square root of the moment of inertia divided by area of the section (D) None of these

Last Answer : (D) None of these

The depth of centre of pressure (h) for a vertically immersed surface from the liquid surface is given by (where IG = Moment of inertia of the immersed surface about horizontal axis through its centre of gravity, A = Area of immersed surface, and x = Depth of centre of gravity of the immersed surface from the liquid surface) (A) (IG/ ) - (B) (IG/ ) - (C) ( /IG) + (D) (IG/ ) +

Description : The depth of centre of pressure (h) for a vertically immersed surface from the liquid surface is given by (where IG = Moment of inertia of the immersed surface about horizontal axis through its centre of gravity, A = Area of immersed surface, ... (IG/ ) - (B) (IG/ ) - (C) ( /IG) + (D) (IG/ ) +

Last Answer : Answer: Option D

The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of ₹7.50 m². -Maths 9th

Description : The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of ₹7.50 m². -Maths 9th

Last Answer : Length of a room (l) = 5m Breadth (b) = 4 m and height (h) = 3 m ∴ Area of 4 walls = 2(l + b) x h = 2(5 + 4) x 3 = 6 x 9 = 54 m² and area of ceiling = l x b = 5 x ... ∴ Total area = 54 + 20 = 74 m2 Rate of white washing = 7.50 per m² ∴ Total cost = ₹74 x 7.50 = ₹555

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m (see figure). The advertisements yield an earning of ₹5000 per m² per year. -Maths 9th

Description : The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m (see figure). The advertisements yield an earning of ₹5000 per m² per year. -Maths 9th

Last Answer : Let the sides of the triangular will be a = 122m, b = 12cm, c = 22m Semi-perimeter, s = a+b+c2 (122+120+224)m = 2642 m = 132m The area of the triangular side wall Rent for 1 year (i.e. 12 months) per m2 = ... = Rs. 5000 x 312 = Rent for 3 months for 1320 m2 = Rs. 5000 x 312 x 1320 = Rs. 16,50,000.

S.I. unit of Magnetic flux is – (1) weber (2) weber/m (3) weber/m⁴ (4) weber-m²

Description : S.I. unit of Magnetic flux is – (1) weber (2) weber/m (3) weber/m⁴ (4) weber-m²

Last Answer : (1) weber Explanation: The SI unit of magnetic flux is the Weber (Wb) (in derived units: volt-seconds). It is the magnetic flux that, linking a circuit of one turn, would produce in it ... second. It is named after the German physicist Wilhelm Eduard Weber. The CGS unit of magnetic flux is Maxwell.

A normally consolidated clay settled 10 mm when effective stress was increased from 100 kN/m² to 200 kN/m². If the effective stress is further increased from 200 kN/m² to 400 kN/m², then the settlement of the same clay is (A) 10 mm (B) 20 mm (C) 40 mm (D) None of the above

Description : A normally consolidated clay settled 10 mm when effective stress was increased from 100 kN/m² to 200 kN/m². If the effective stress is further increased from 200 kN/m² to 400 kN/m², then the settlement of the same clay is (A) 10 mm (B) 20 mm (C) 40 mm (D) None of the above

Last Answer : (A) 10 mm

A cylindrical specimen of saturated soil failed under an axial vertical stress of 100kN/m² when it was laterally unconfmed. The failure plane was inclined to the horizontal plane at an angle of 45°. The values of cohesion and angle of internal friction for the soil are respectively (A) 0.5 N/mm² and 30° (B) 0.05 N/mm² and 0° (C) 0.2 N/mm² and 0° (D) 0.05 N/mm² and 45°

Description : A cylindrical specimen of saturated soil failed under an axial vertical stress of 100kN/m² when it was laterally unconfmed. The failure plane was inclined to the horizontal plane at an angle of 45°. The values of cohesion and angle of ... N/mm² and 0° (C) 0.2 N/mm² and 0° (D) 0.05 N/mm² and 45°

Last Answer : Answer: Option B

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 moment of inertia of a rectangular section of width and depth about an axis passing through C.G. and parallel to its width is (A) BD²/6 (B) BD3 /6 (C) BD3 /12 (D) B²D/6

Description : The moment of inertia of a rectangular section of width and depth about an axis passing through C.G. and parallel to its width is (A) BD²/6 (B) BD3 /6 (C) BD3 /12 (D) B²D/6

Last Answer : (C) BD3 /12

The locus of the moment of inertia about inclined axes to the principal axis, is (A) Straight line (B) Parabola (C) Circle (D) Ellipse

Description : The locus of the moment of inertia about inclined axes to the principal axis, is (A) Straight line (B) Parabola (C) Circle (D) Ellipse

Last Answer : (D) Ellipse

In case of principal axes of a section (A) Sum of moment of inertia is zero (B) Difference of moment inertia is zero (C) Product of moment of inertia is zero (D) None of these

Description : In case of principal axes of a section (A) Sum of moment of inertia is zero (B) Difference of moment inertia is zero (C) Product of moment of inertia is zero (D) None of these

Last Answer : (C) Product of moment of inertia is zero

At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by (A) Depth of the section (B) Depth of the neutral axis (C) Maximum tensile stress at the section (D) Maximum compressive stress at the section

Description : At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by (A) Depth of the section (B) Depth of the neutral axis (C) Maximum tensile stress at the section (D) Maximum compressive stress at the section

Last Answer : (B) Depth of the neutral axis

The moment of inertia of a triangular section (height h, base b) about its base, is (A) bh²/12 (B) b²h/12 (C) bh3 /12(D) b 3h/12

Description : The moment of inertia of a triangular section (height h, base b) about its base, is (A) bh²/12 (B) b²h/12 (C) bh3 /12 (D) b 3h/12

Last Answer : (C) bh3 /12

Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly proportional to (A) Modulus of rigidity (B) Angle of twist (C) Reciprocal of the length of the shaft (D) Moment of inertia of the shaft section

Description : Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly proportional to (A) Modulus of rigidity (B) Angle of twist (C) Reciprocal of the length of the shaft (D) Moment of inertia of the shaft section

Last Answer : (D) Moment of inertia of the shaft section

If Ix and Iy are the moments of inertia of a section about X and Y axes, the polar moment of inertia of the section, is (A) (IX + IY)/2 (B) (IX - IY)/2 (C) IX + IY (D) (IX/IY)

Description : If Ix and Iy are the moments of inertia of a section about X and Y axes, the polar moment of inertia of the section, is (A) (IX + IY)/2 (B) (IX - IY)/2 (C) IX + IY (D) (IX/IY)

Last Answer : (C) IX + I

Pick up the correct statement from the following: (A) The moment of inertia is calculated about the axis about which bending takes place (B) If tensile stress is less than axial stress, the section experiences compressive stress (C) If tensile stress is equal to axial stress, the section experiences compressive stress (D) All the above

Description : Pick up the correct statement from the following: (A) The moment of inertia is calculated about the axis about which bending takes place (B) If tensile stress is less than axial ... tensile stress is equal to axial stress, the section experiences compressive stress (D) All the above

Last Answer : (D) All the above

While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of (A) Zero length (B) Infinite length (C) Zero moment of inertia(D) None of the above

Description : While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of (A) Zero length (B) Infinite length (C) Zero moment of inertia (D) None of the above

Last Answer : (A) Zero length

Euler's formula states that the buckling load for a column of length , both ends hinged and whose least moment of inertia and modulus of elasticity of the material of the column are and respectively, is given by the relation (A) P = ²EI/l² (B) P = /EI (C) P = /l² (D) P = ²EI/l

Description : Euler's formula states that the buckling load for a column of length , both ends hinged and whose least moment of inertia and modulus of elasticity of the material of the column are and respectively, is given by the relation (A) P = ²EI/l² (B) P = /EI (C) P = /l² (D) P = ²EI/l

Last Answer : (A) P = ²EI/l²

The stiffness factor for a prismatic beam of length L and moment of inertia I, is (A) IE/L (B) 2EI/L (C) 3EI/L (D) 4EI/L

Description : The stiffness factor for a prismatic beam of length L and moment of inertia I, is (A) IE/L (B) 2EI/L (C) 3EI/L (D) 4EI/L

Last Answer : (A) IE/L

The ratio of the moment of inertia of a circular plate and that of a square plate for equal depth, is (A) Less than one (B) Equal to one (C) More than one (D) Equal

Description : The ratio of the moment of inertia of a circular plate and that of a square plate for equal depth, is (A) Less than one (B) Equal to one (C) More than one (D) Equal

Last Answer : (D) Equal

In a shaft shear stress intensity at a point is not (A) Directly proportional to the distance from the axis (B) Inversely proportional to the distance from the axis (C) Inversely proportional to the polar moment of inertia (D) Directly proportional to the applied torque

Description : In a shaft shear stress intensity at a point is not (A) Directly proportional to the distance from the axis (B) Inversely proportional to the distance from the axis (C) Inversely proportional to the polar moment of inertia (D) Directly proportional to the applied torque

Last Answer : (B) Inversely proportional to the distance from the axis

If is the shear force at a section of an I-joist, having web depth and moment of inertia about its neutral axis, the difference between the maximum and mean shear stresses in the web is, (A) Sd²/8I (B) Sd²/12I (C) Sd²/16I(D) Sd²/24I

Description : If is the shear force at a section of an I-joist, having web depth and moment of inertia about its neutral axis, the difference between the maximum and mean shear stresses in the web is, (A) Sd²/8I (B) Sd²/12I (C) Sd²/16I (D) Sd²/24I

Last Answer : (D) Sd²/24I

The maximum twisting moment a shaft can resist, is the product of the permissible shear stress and (A) Moment of inertia (B) Polar moment of inertia (C) Polar modulus (D) Modulus of rigidly

Description : The maximum twisting moment a shaft can resist, is the product of the permissible shear stress and (A) Moment of inertia (B) Polar moment of inertia (C) Polar modulus (D) Modulus of rigidly

Last Answer : (C) Polar modulus

Polar moment of inertia is a.Applicable to masses whereas moment of inertia is applicable to area only b.The moment of inertia for an area ralative to a line or axis which is out the plane of area c.Same as moment of inertia d.The moment of inertia for an area relative to a line or axis parallel to the centroidal axis e.The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area

Description : Polar moment of inertia is a.Applicable to masses whereas moment of inertia is applicable to area only b.The moment of inertia for an area ralative to a line or axis which is out the plane of area ... The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area

Last Answer : e. The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area

The slenderness ratio is the ratio of (a) Length of column to least radius of gyration (b) Moment of inertia to area of cross-section (c) Area of cross-section to moment of inertia (d) Least radius of gyration to length of the column

Description : The slenderness ratio is the ratio of (a) Length of column to least radius of gyration (b) Moment of inertia to area of cross-section (c) Area of cross-section to moment of inertia (d) Least radius of gyration to length of the column

Last Answer : (a) Length of column to least radius of gyration

Bending stress will be least at the extreme fibres for (a) Maximum area of cross section (b) Maximum moment of inertia (c) Maximum section modulus (d) None

Description : Bending stress will be least at the extreme fibres for (a) Maximum area of cross section (b) Maximum moment of inertia (c) Maximum section modulus (d) None

Last Answer : (c) Maximum section modulus

A calorie is a unit of heat and it equals 4.2 J, where 1 J = kg m^2 s^-2. A distant civilisation employs a system of units in which the units

Description : A calorie is a unit of heat and it equals 4.2 J, where 1 J = kg m^2 s^-2. A distant civilisation employs a system of units in which the units

Last Answer : A calorie is a unit of heat and it equals 4.2 J, where 1 J = kg m2 s-2. A distant ... energy. What will be the magnitude of calorie in their units?

When your mass is 96 kg. The acceleration due to gravity is 9.8 ms 2 . How much work against gravity do you do when you climb a flight of stairs 3.8 m high Answer in units of J.?

Description : When your mass is 96 kg. The acceleration due to gravity is 9.8 ms 2 . How much work against gravity do you do when you climb a flight of stairs 3.8 m high Answer in units of J.?

Last Answer : 4

The unit of Torque in SI units (a) kg-m (b) kg-cm (c) N-m (d) N/m2

Description : The unit of Torque in SI units (a) kg-m (b) kg-cm (c) N-m (d) N/m2

Last Answer : (c) N-m

The ratio of moment of inertia of a circular body about x axis to that about y axis is a.? b.? c.1?4 d.1 e.

Description : The ratio of moment of inertia of a circular body about x axis to that about y axis is a.? b.? c.1?4 d.1 e.

Last Answer : e. 1

The moment of inertia of a solid sphere of radius r is a.Mr2 b.1/8 Mr2 c.2/3 Mr2 d.m4 e.1/2 Mr2

Description : The moment of inertia of a solid sphere of radius r is a.Mr2 b.1/8 Mr2 c.2/3 Mr2 d.m4 e.1/2 Mr2

Last Answer : a. Mr2

The moment of inertia of a thin spherical shell is a.Mr2 b.1/2 Mr2 c.1/3 Mr2 d.2/3 Mr2 e.None of the above

Description : The moment of inertia of a thin spherical shell is a.Mr2 b.1/2 Mr2 c.1/3 Mr2 d.2/3 Mr2 e.None of the above

Last Answer : d. 2/3 Mr2

Moment of Inertia of triangular section about an axis passing through its base is given by a.bh3/12 b.bh3/32 c.bh3/36 d.None of the above e.Tapered bearing

Description : Moment of Inertia of triangular section about an axis passing through its base is given by a.bh3/12 b.bh3/32 c.bh3/36 d.None of the above e.Tapered bearing

Last Answer : a. bh3/12

The moment of inertia of a thin ring about an axis perpendicular to plane of ring is a.1/3 Mr3 b.Mr2 c.Mr d.Mr3 e.1/2 Mr3

Description : The moment of inertia of a thin ring about an axis perpendicular to plane of ring is a.1/3 Mr3 b.Mr2 c.Mr d.Mr3 e.1/2 Mr3

Last Answer : b. Mr2

The moment of inertia of a hollow circular section whose external diameter is 8 cm and interial diameter is 6 cm about the axis passing through its centre is a.66.8 cm4 b.137.5 cm4 c.550 cm4 d.33.4 cm4 e.275 cm4

Description : The moment of inertia of a hollow circular section whose external diameter is 8 cm and interial diameter is 6 cm about the axis passing through its centre is a.66.8 cm4 b.137.5 cm4 c.550 cm4 d.33.4 cm4 e.275 cm4

Last Answer : b. 137.5 cm4

ML2T-2 could be the dimension of a.107 dynes b.moment of force c.viscosity d.mass moment of inertia e.momentum

Description : ML2T-2 could be the dimension of a.107 dynes b.moment of force c.viscosity d.mass moment of inertia e.momentum

Last Answer : b. moment of force

Which of the following pair will have identical dimensions? a.Pressure and surface tension b.Work and kinetic energy c.Momentum and force d.Moment of inertia and angular momentum e.None of the above

Description : Which of the following pair will have identical dimensions? a.Pressure and surface tension b.Work and kinetic energy c.Momentum and force d.Moment of inertia and angular momentum e.None of the above

Last Answer : c. Momentum and force

The torque acting on a system is zero. Which of the following will be conserved? a.Angular velocity b.Linear momentum c.107 dynes d.Angular momentum e.Moment of inertia

Description : The torque acting on a system is zero. Which of the following will be conserved? a.Angular velocity b.Linear momentum c.107 dynes d.Angular momentum e.Moment of inertia

Last Answer : d. Angular momentum

The moment of inertia of a semi-circle of radius r with respect to a centroidal axis parallel to the diameter is a.0.33 r2 b.0.11 r2 c.0.055 r2 d.0.05 r2 e.0.22 r2

Description : The moment of inertia of a semi-circle of radius r with respect to a centroidal axis parallel to the diameter is a.0.33 r2 b.0.11 r2 c.0.055 r2 d.0.05 r2 e.0.22 r2

Last Answer : b. 0.11 r2

prathmesh · Answer 1 · 2021-10-10T16:10:06+0000

Answer :

(B) m

4

answered Oct 10, 2021 by prathmesh

The units of moment of inertia of an area are (A) kg m² (B) m 4 (C) kg/m² (D) m

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