Description : Which of the following formulae is used to calculate tangential stress, when a member is subjected to stress in mutually perpendicular axis and accompanied by a shear stress? a. [(σ x - σ y )/2 ]sin θ - τ cos 2θ b. [(σ x - ... τ cos 2θ c. [(σ x - σ y )/2 ]sin θ - τ 2 cos θ d. None of the above
Last Answer : c. [(σ x – σ y )/2 ]sin θ – τ 2 cos θ
Description : If cosec |-sin |=l and sec |- cos |=m, prove that l2m2(l2+m2+3)=1 -Maths 9th
Last Answer : cosec(A) - sin(A) = l ⇒ 1/sin(A) - sin(A) = l ⇒ l² = 1/sin²(A) + sin²(A) - 2 --------- sec(A) - cos(A) = m ⇒ 1/cos(A) - cos(A) = m ⇒ m² = 1/cos²(A) + cos²(A) - 2 ---------- l²m² = [1/sin²(A) + ... A)) = = 1/(sin²(A)cos²(A)) ------------- ⇒ l²m² (l² + m² + 3) = sin²(A)cos²(A) / [sin²(A)cos²(A)] = 1
Description : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Last Answer : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Description : Consider the matrix function `A(x)=[{:(cos^(-1)x,sin^(-1)x,cosec^(-1)x),(sin^(-1)x,sec^(-1)x,tan^(-1)x),(cosec^(-1)x,tan^(-1)x,cot^(-1)x):}]` and `B =
Last Answer : Consider the matrix function `A(x)=[{:(cos^(-1)x,sin^(-1)x,cosec^(-1)x),(sin^(-1)x,sec^(-1)x,tan^(-1)x),( ... )=-A(x)` D. `A(x) + A(-x) = - piI_(3)`
Description : While measuring the distance between two points along upgrade with the help of a 20 m chain, the forward end of the chain is shifted forward through a distance (A) 20 (sin - 1) (B) 20 (cos - 1) (C) 20 (sec - 1) (D) 20 (cosec - 1)
Last Answer : (C) 20 (sec - 1)
Description : The maximum tangential stress σ t = (σ x sin 2θ)/2 is maximum if, θ is equal to ________ a. 45 o b. 90 o c. 270 o d. all of the above
Last Answer : a. 45 o
Description : A sliding contact bearing is operating under stable condition. The pressure developed in oil film is p when the journal rotates at N rpm. The dynamic viscosity of lubricant is μ and effective coefficient of ... to p and f) (d) f is directly proportional to μ and inversely proportional to N
Last Answer : (b) f is directly proportional to μ and N
Description : If cosec A = 2, then the value of 1/(tan A) + (sin A)/(1+cos A) is -Maths 9th
Last Answer : answer:
Description : Reciprocal of sin A is ————- a. cosec A b. sec A c. cot A d.Tan a
Last Answer : a. cosec A
Last Answer : We hold theta = A. sin2A + cos2 (PM / OP) 2+ (OM / OP) 2 PM2 / OP2 + OM2OP2 (PM2 + OM2) / OP2 OP2 / OP2 => 1 So sin2A + cos2A = 1
Description : The torque expression of a current carrying conductor is a) T = BIA cos θ b) T = BA cos θ c) T = BIA sin θ d) T = BA sin θ
Last Answer : c) T = BIA sin θ
Description : Work done by a uniform magnetic field in moving a charged particle in a circular path is a) qvB sin θ b) mg sin θ c) zero d) mg cos θ
Last Answer : Zero
Description : Assertion (A): Oil as a cutting fluid result in a lower coefficient of friction. Reason (R): Oil forms a thin liquid film between the tool face and chip, and it provides 'hydrodynamic lubrication'. [IES- 2000] (a ... explanation of A (c) A is true but R is false (d) A is false but R is true
Last Answer : (c) A is true but R is false
Description : In an oil-lubricated journal bearing, coefficient of friction between the journal and the bearing. [IES-1995] (a) Remains constant at all speeds. (b) is minimum at zero speed and increases ... speed. (d) becomes minimum at an optimum speed and then increases with further increase in speed.
Last Answer : (d) becomes minimum at an optimum speed and then increases with further increase in speed.
Description : Satisfactory hydrodynamic film in a journal bearing is formed when (a) Journal speed is low; unit pressure on the bearing is high and viscosity of lubricant used is low [IES-2006] ... journal speed, unit pressure on bearing and lubricant viscosity exists resulting in low coefficient of friction
Last Answer : (c) Journal speed is high; unit pressure on the bearing is high and viscosity of lubricant used is high
Description : Consider tile following statements: [IES-1993; 2002; 2006] Radius of friction circle for a journal bearing depends upon 1. Coefficient of friction 2. Radius of the journal 3. Angular speed of rotation of the shaft Which of the ... ) 1,2 and 3 (b) Only 1 and 2 (c) Only 2 and 3 (d) Only 1 and 3
Last Answer : (b) Only 1 and 2
Description : Increase in values of which of the following results in an increase of the coefficient of friction in a hydrodynamic bearing? [IES 2007] 1. Viscosity of the oil. 2. Clearance between shaft and bearing. 3. Shaft speed. Select the ... 1 and 2 only (b) 1 and 3 only (c) 2 and 3 only (d) 1, 2 and 3
Last Answer : (b) 1 and 3 only
Description : Which of the following are not true for petroff’s equation? a) Shaft is considered concentric with the bearing b) Bearing is subjected to light load c) Is used to find coefficient of friction d) Frictional torque is given by fpr2l
Last Answer : d) Frictional torque is given by fpr2l
Description : Efficiency of the screw _______ with increase of coefficient of friction. a) decreases b) increases c) has no effect d) cannot be determined
Last Answer : a) decreases
Description : Self-locking takes place when a) Coefficient of friction is equal to or greater than the tangent of the helix angle b) Coefficient of friction is lesser than or equal to the tangent of the helix ... friction is equal to or greater than the tangent of the helix angle d) None of the mentioned
Last Answer : c) Coefficient of friction is equal to or greater than the tangent of the helix angle
Description : If 8 bolts are emplaced in a clamp coupling with shaft diameter 80mm d, calculate the diameter of each bolt if coefficient of friction is 0.3 and torque transmitted is 4000N-m. Permissible tensile stress is 80N/mm2. a) 27mm b) 25mm c) 23mm d) 21mm
Last Answer : a) 27mm
Description : If 8 bolts are emplaced in a clamp coupling with shaft diameter 80mm d, calculate the tensile force on each bolt if coefficient of friction is 0.3 and torque transmitted is 4000N-m. a) 51234.4N b) 45968.3N c) 41666.7N d) None of the listed
Last Answer : c) 41666.7N
Description : `(i) int e^(x). "[log (sec x+tan x) + sec x dx "` `(ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx`
Last Answer : `(i) int e^(x). "[log (sec x+tan x) + sec x dx "` `(ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx`
Description : 1 – cos 2 A is equal to: a sin 2 A b tan 2 A c 1 – sin 2 A d sec 2 A
Last Answer : a sin 2 A
Description : Numerical aperture is expressed as the a) NA = sin θa b) NA = cos θa c) NA = tan θa d) NA = sec θa
Last Answer : a) NA = sin θa
Description : The axial deflection of spring for the small angle of θ is given by? a) 328PDɜN/Gd4 b) 8PDɜN/Gd4 c) 16PDɜN/Gd4 d) 8PD2N/Gdɜ
Last Answer : b) 8PDɜN/Gd4
Description : A force 2P is acting on the double transverse fillet weld. Leg of weld is h and length l. Determine the shear stress in a plane inclined at θ with horizontal. a) PSinθ(Sinθ+Cosθ)/hl b) P(Sinθ+Cosθ)/hl c) Pcosθ(Sinθ+Cosθ)/hl d) None of the listed
Last Answer : a) PSinθ(Sinθ+Cosθ)/hl
Description : A block of mass m is pulled along a surface as shown. The coefficient of kinetic friction between the block and the surface is m and the tension in the rope is T. The acceleration of the block is (a) a = T cos q/mg (b) a = T cos q/mgm (c) a = T cos q/m + mmg (d) None of the above
Last Answer : Ans:(d)
Description : Which type of threads is recommended for fluctuating loads? a) Fine threads b) Coarse Threads c) Either of fine or coarse d) None of the listed
Last Answer : a) Fine threads
Description : Which threads have greater resistance to unscrewing? a) Coarse b) Fine c) They have equal resistance d) Cannot be determined
Last Answer : b) Fine
Description : Coarse threads have helix angle _____ fine threads. a) Equal to b) Greater than c) Lesser than d) There is no relation
Last Answer : c) Lesser than
Description : The static load carrying capacity of fine threads is greater than that of coarse threads. a) True b) False
Last Answer : b) False
Description : Crests and roots of the threads may lead to leakage in fluid tight threads if flattened or rounded to a circular arc. a) True b) False
Description : When a coupler nut is subjected to crushing stress, crushing failure can be avoided if _____ a. crushing stress induced is more than permissible crushing stress in the nut b. permissible crushing ... threads c. crushing stress induced is equal to permissible crushing stress d. all of the above
Last Answer : b. permissible crushing stress is more than crushing stress induced in the threads
Description : Threads used in screw fasteners are ______ a. having high strength b. having low efficiency c. single start type d. all of the above
Last Answer : d. all of the above
Description : What is the approximate nominal diameter for coarse threads? a. d = 1.136 dc b. d = 1.59 dc c. d = 1.19 dc d. d = 0.5 dc
Last Answer : c. d = 1.19 dc
Description : The shock absorbing capacity of a bolt can be increased by (A) Increasing shank diameter (B) Making shank diameter equal to core diameter of threads (C) Using castle nut in place of ordinary hexagonal nut (D) Using a washer
Last Answer : (B) Making shank diameter equal to core diameter of threads
Description : Standard coarse threads are equally strong in failure by shear and failure by tension, if the height of nut is (A) h = 0.4 d (B) h = 0.6 d (C) h = 0.5 d (D) h = d
Last Answer : (A) h = 0.4 d
Description : The shock absorbing capacity of a bolt can be increased by (A) Increasing stress in shank (B) Increasing stress in core diameter of threads (C) Decreasing stress in shank (D) Decreasing stress in core diameter of threads
Last Answer : (A) Increasing stress in shank
Description : When a nut is tightened by placing a washer below it, the threads of bolt are subjected to (A) Direct shear stress (B) Torsional shear stress (C) Tensile stress (D) Compressive stress
Last Answer : (A) Direct shear stress
Description : The designation M 36 × 2 means (A) Metric fine threads of 36 mm outside diameter and 2 mm pitch (B) Metric coarse threads of 36 mm outside diameter and 2 mm pitch (C) Metric threads of 36 mm pitch diameter and 2 mm pitch (D) Metric threads of 36 mm core diameter and 2 mm pitch
Last Answer : (A) Metric fine threads of 36 mm outside diameter and 2 mm pitch
Description : While designing screw threads, adequate length of engaged threads between the screw and nut is provided so as to prevent failure of threads due to (A) Direct shear stress (B) Torsional shear stress (C) Tensile stress (D) Compressive stress
Description : If (cos x)/(1 + cosec x) + (cos x)/(cosec x - 1)= 2which one of the following is one of the values of x ? -Maths 9th
Description : `int_(0)^(pi//4) cos 0. " cosec"^(2) 0 do`
Last Answer : `int_(0)^(pi//4) cos 0. " cosec"^(2) 0 do`
Description : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.
Last Answer : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.
Description : Find the intervals in which the function `f(x) = sin x +cos x,x in [0, 2pi]` is (i) strictly increasing, (ii) strictly decreasing.
Last Answer : Find the intervals in which the function `f(x) = sin x +cos x,x in [0, 2pi]` is (i) strictly increasing, (ii) strictly decreasing.
Description : If sin x + cosec x = 2, then sin^n x + cosec^n x is equal to -Maths 9th
Description : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?`
Last Answer : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?` A. `(pi)/(2)` B. `pi` C. `2pi` D.
Description : (i) `int(sec x* cosec x)/(log cot x) dx` (ii) `int tan^(4) x dx`
Last Answer : (i) `int(sec x* cosec x)/(log cot x) dx` (ii) `int tan^(4) x dx`