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
Description : Transform the vector B=yi+(x+z)j located at point (-2,6,3) into cylindrical coordinates. a) (6.325,-71.57,3) b) (6.325,71.57,3) c) (6.325,73.57,3) d) (6.325,-73.57,3)
Last Answer : a) (6.325,-71.57,3)
Description : Show that vectors a = 2i + 3j + 6k, b = 3i - 6j + 2k and c = 6i + 2j - 3k are mutually perpendicular.
Last Answer : Show that vectors a = 2i + 3j + 6k, b = 3i - 6j + 2k and c = 6i + 2j - 3k are mutually perpendicular.
Description : Find ‘a’ if A = 3i - 2j + 4k and B = ai + 2j - k are perpendicular to one another.
Last Answer : Find ‘a’ if A = 3i - 2j + 4k and B = ai + 2j - k are perpendicular to one another.
Description : Transform the vector (4,-2,-4) at (1,2,3) into spherical coordinates. a) 3.197i – 2.393j + 4.472k b) -3.197i + 2.393j – 4.472k c) 3.197i + 2.393j + 4.472k d) -3.197i – 2.393j – 4.472k
Last Answer : b) -3.197i + 2.393j – 4.472k
Description : Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (- 3,4,0) a) -2i + j b) 2i + k c) i + 2j d) –i – 2k
Last Answer : a) -2i + j
Description : Transform the spherical system B = (10/r)i + (10cos θ)j + k into cylindrical form at (5, π/2, -2) a) 2.467i + j + 1.167k b) 2.467i – j + 1.167k c) 2.467i – j – 1.167k d) 2.467i + j – 1.167k
Last Answer : a) 2.467i + j + 1.167k
Description : Compute the Gauss law for D = 10ρ 3 /4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral. a) 6100 π b) 6200 π c) 6300 π d) 6400 π View Answe
Last Answer : d) 6400 π
Description : Compute the Gauss law for D= 10ρ 3 /4 i, in cylindrical coordinates with ρ= 4m, z=0 and z=5. a) 6100 π b) 6200 π c) 6300 π d) 6400 π
Description : Convert the given rectangular coordinates A(2,3,1) into corresponding cylindrical coordinates a) (3.21,56.31,1) b) (3.21,57.31,0) c) (3.61,57.31,0) d) (3.61,56.31,1)
Last Answer : d) (3.61,56.31,1)
Description : The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False. a) True b) False
Last Answer : a) True
Description : If A = 5i + 6j + 4k and B = 2i - 2j + 3k determine the angle between A and B.
Last Answer : If A = 5i + 6j + 4k and B = 2i - 2j + 3k determine the angle between A and B.
Description : The degree of static indeterminacy of a rigid-jointed space frame is (A) m + r - 2j (B) m + r - 3j (C) 3m + r - 3j (D) 6m + r - 6j Where m, r and j have their usual meanings
Last Answer : (D) 6m + r - 6j
Description : The magnitude of scalar product of the vectors A = 2i + 5k and B = 3i + 4k is
Last Answer : The magnitude of scalar product of the vectors A = 2i + 5k and B = 3i + 4k is (A) 20 (B) 22 (C) 26 (D) 29
Description : If A = i + 2j + 3k and B = 3i - 2j + k, then the area of parallelogram formed from these vectors as the adjacent sides will be
Last Answer : If A = i + 2j + 3k and B = 3i - 2j + k, then the area of parallelogram formed from these ... units (C) 6√3 square units (D) 8√3 square units
Description : If A = 2i + 7j + 3k and B = 3i + 2j + 5k, find the component of A along B.
Last Answer : If A = 2i + 7j + 3k and B = 3i + 2j + 5k, find the component of A along B.
Description : Find the scalar product of the two vectors v1 = i + 2j + 3k and v2 = 3i + 4j - 5k.
Last Answer : Find the scalar product of the two vectors v1 = i + 2j + 3k and v2 = 3i + 4j - 5k.
Description : What is the volume of a parallelepiped whose sides are given by the vectors a 3i plus wj plus k b -i plus 3j and c 2i plus 2j plus 5k?
Last Answer : What is the answer ?
Description : The cross product of the vectors 3i + 4j – 5k and –i + j – 2k is, a) 3i – 11j + 7k b) -3i + 11j + 7k c) -3i – 11j – 7k d) -3i + 11j – 7k
Last Answer : Answer: b Explanation: Cross product of two vectors is, A X B = (a2*b3 – b2*a3)i – (a1*b3 – b1*a3)j + (a1*b2 – b1*a2)k. Using the formula, the answer can be calculated.
Description : Calculate the loss tangent when the dielectric constant in AC field is given by 3 + 2j. a) (2/3) b) (3/2) c) (-3/2) d) (-2/3)
Last Answer : d) (-2/3)
Description : Find the power, given energy E = 2J and current density J = x 2 varies from x = 0 and x = 1. a) 1/3 b) 2/3 c) 1 d) 4/3
Last Answer : b) 2/3
Description : The voltage of a capacitor 12F with a rating of 2J energy is a) 0.57 b) 5.7 c) 57 d) 570
Last Answer : a) 0.57
Description : The angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees) a) 65.8 b) 66.8 c) 67.8 d) 68.8
Last Answer : c) 67.8
Description : A charge located at point p (5,300,2) is said to be in which coordinate system? a) Cartesian system b) Cylindrical system c) Spherical system d) Space system
Last Answer : b) Cylindrical system
Description : Find the vector that should be added to the sum of (2i - 5j + 3k) and (4i + 7j - 4k) to give a unit vector along the X-axis.
Last Answer : Find the vector that should be added to the sum of (2i - 5j + 3k) and (4i + 7j - 4k) to give a unit vector along the X-axis.
Description : Find the tangent vector of line having end points P1(3,5,8) and P2 (6,4,3) a.3i+j-5k b.3i-j-5k c.3i-j+5k d.-3i-j-5k
Last Answer : b.3i-j-5k
Description : In the Argand plane, the vector z = 4 - 3i is turned in the clockwise sense through 180^@` and stretched three times. The complex number represented n
Last Answer : In the Argand plane, the vector z = 4 - 3i is turned in the clockwise sense through 180^@` and stretched three ... `12-9i` C. `-12-9i` D. `12-9i`
Description : Find a unit vector in the direction of the vector 3i + 4j.
Last Answer : Find a unit vector in the direction of the vector 3i + 4j.
Description : Find unit vector parallel to the resultant of the vectors A = i + 4j - 2k and B = 3i - 5j + k.
Last Answer : Find unit vector parallel to the resultant of the vectors \(\overset\rightarrow{A}\) = i + 4j - 2k and \(\overset\rightarrow{B}\) = 3i - 5j + k.
Description : The power of a wave in a cylindrical waveguide of radius 2m with electric field 12 units is a) 2.39 b) 3.92 c) 9.23 d) 9.32
Last Answer : a) 2.39
Description : Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = - 2 at R = 4m and σ = -3 at R = 5m. Find the flux density at R = 6m. a) 17/6 b) -17/6 c) 13/6 d) -13/6
Last Answer : d) -13/6
Description : Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = - 2 at R = 4m and σ =-3 at R = 5m. Find the flux density at R = 4.5m. a) 4/4.5 b) 3/4.5 c) 2/4.5 d) 1/4.5
Last Answer : c) 2/4.5
Description : Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = - 2 at R = 4m and σ = -3 at R = 5m. Find the flux density at R = 3m. a) 3 b) 10/3 c) 11/3 d) 4
Last Answer : b) 10/3
Description : Three charged cylindrical sheets are present in three spaces with σ = 5 at R = 2m, σ = - 2 at R = 4m and σ = -3 at R = 5m. Find the flux density at R = 1m. a) 0 b) 1 c) 2 d) 3
Last Answer : a) 0
Description : The divergence theorem for a surface consisting of a sphere is computed in which coordinate system? a) Cartesian b) Cylindrical c) Spherical d) Depends on the function
Last Answer : d) Depends on the function
Description : Charges filled inside a cylindrical will possess flux in which direction? a) Upwards b) Downwards c) Laterally outwards d) Inwards
Last Answer : c) Laterally outwards
Description : Cylindrical system is employed in waveguides. State True/False. a) True b) False
Description : Cylindrical systems have the following scalar values respectively a) 1, ρ ,1 b) 1, 1, 1 c) 0,1,0 d) 1,0,0
Last Answer : a) 1, ρ ,1
Description : The cylindrical coordinate system is also referred to as a) Cartesian system b) Circular system c) Spherical system d) Space system
Last Answer : b) Circular system
Description : Compute divergence theorem for D = 5r 2 /4 i in spherical coordinates between r = 1 and r = 2 in volume integral. a) 80 π b) 5 π c) 75 π d) 85 π
Last Answer : c) 75 π
Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. a) 600 b) 588.9 c) 577.8 d) 599.7
Last Answer : b) 588.9
Description : Compute divergence theorem for D= 5r 2 /4 i in spherical coordinates between r=1 and r=2. a) 80π b) 5π c) 75π d) 85π
Last Answer : c) 75π
Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2. a) 600 b) 599.8 c) 588.9 d) 577.8
Last Answer : c) 588.9
Description : The scalar factor of spherical coordinates is a) 1, r, r sin θ b) 1, r, r c) r, r, 1 d) r, 1, r
Last Answer : a) 1, r, r sin θ
Description : Find the Cartesian coordinates of B(4,250,1200) a) (0.845, 1.462, 3.625) b) (-0.845, 1.462, 3.625) c) (-8.45, 2.462, 6.325) d) (8.45, 2.462, 6.325)
Last Answer : b) (-0.845, 1.462, 3.625)
Description : Find the spherical coordinates of A(2,3,-1) a) (3.74, 105.50, 56.130) b) (3.74, 105.50, 56.310) c) (3.74, 106.50, 56.130) d) (3.74, 106.50, 56.310)
Last Answer : b) (3.74, 105.50, 56.310)
Description : Convert the point (3,4,5) from Cartesian to spherical coordinates a) (7.07,450,530) b) (0.707,450,530) c) (7.07,540,630) d) (0.707,540,630)
Last Answer : a) (7.07,450,530)
Description : The polar form of Cartesian coordinates is a) Circular coordinates b) Spherical coordinates c) Cartesian coordinates d) Space coordinates
Last Answer : a) Circular coordinates
Description : Two lines L1 and L2 having Parametric equations are P1=[3 4 7]+u[2 2 -6] and P2=[15 -2]+u[1 4 2]. Tangent vector for line L1 a.2i+2j-6k b.2i+2j+6k c.2i-2j-6k d.6-2j-2k
Last Answer : a.2i+2j-6k
Description : Determine the vector product of v1 = 2i + 3j - k and v2 = i + 2j - 3k are perpendicular to each other,
Last Answer : Determine the vector product of v1 = 2i + 3j - k and v2 = i + 2j - 3k are perpendicular to each other, determine the value of a.