GATE XE format:nat PYQs & Answers — Page 63

Questions 621–630 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 63 of 67

A ceramic material with a critical flaw size of 30

m has fracture stress of 300 MPa. For the same material the fracture stress for a critical flaw size of 90

m will be ..............MPa.

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Copper is an FCC metal with lattice parameter of 3.62 Å. Hall effect measurement shows electron mobility to be 3.2

. Electrical resistivity of copper is 1.7

Ωm. The average number of free electrons per atom in copper is ....................(Charge of an electron: 1.6

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In the truss shown, a mass

is hung from the node J. The magnitude of net force (in Newtons) transferred by the truss EFGHIJ onto the truss JKLMNO at the node J is ________.

Assume acceleration due to gravity,

Diagram for Engineering Sciences question 56

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An aluminum specimen with an initial gauge diameter

and a gauge length

is subjected to tension test. A tensile force

is applied at the ends of the specimen as shown resulting in an elongation of

in the gauge length. The Poisson’s ratio (

) of the specimen is ________.

Shear modulus of the material

. Consider engineering stress-strain conditions.

Diagram for Engineering Sciences question 63

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Two rigid blocks, of masses 10kg and 15kg, are arranged one on top of the other and placed on a horizontal rough surface as shown. The blocks are connected to each other through an inextensible cable passing over a frictionless pulley. The coefficients of static friction between the blocks and also between the bottom block and the surface are all equal to 0.3. The force

(in Newtons) needed to set the blocks in motion towards right is _________. (Assume acceleration due to gravity

Diagram for Engineering Sciences question 66

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A truss system EFGH shown below is built using members EF, GH and FH of the same cross-sectional area 10mm² and member FG of cross-sectional area 20mm². The total strain energy stored (in Nm) in the system due to a force

acting at F is __________. Assume elastic deformations and members are made of steel with elastic modulus of 200GPa.

Diagram for Engineering Sciences question 67

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A rigid frame grips on to a steel wall as shown using a powerful magnet at the top support G and with a roller support at E. EF is horizontal. A man stands on the platform attached to the frame 1m away from the wall as shown. Assume the frame and magnet assembly to be of negligible weight and the mass of the man to be 80kg. The magnitude of the reaction (in Newtons) exerted by the frame onto the steel wall due to the weight of the man is __________. The magnetic force of attraction of the magnet at no load condition is 1kN. Magnet can be assumed to be small enough that it offers negligible moment resistance. Assume acceleration due to gravity,

Diagram for Engineering Sciences question 68

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A manually operated band brake has a control lever EFG as shown and has a coefficient of kinetic friction equal to 0.2. The cylinder initially rotates clockwise at a constant frequency of 10 revolutions per second. A force P = 300N is applied at G. The pin support at O is frictionless. The radius of the cylinder is

and the radius of gyration is 0.1m. The mass of the cylinder is 50kg. Assume acceleration due to gravity

. The time required (in seconds) to reduce the rotational frequency to 5 revolutions per second is __________.

Diagram for Engineering Sciences question 69

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In a pin-connected mechanism shown, load P applied at F is 50N. Neglect the weight of the links and assume

for the spring. The bars EH and FG are pinned at O at their centre such that the lengths of EO, GO, HO and FO are all equal to

. The spring between G and H is unstretched when

. The angle

(in degrees) under equilibrium is __________.

Diagram for Engineering Sciences question 70

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The frame shown below carries a vertical load

at its free end D. The frame is fixed at A and has a roller support at B. Magnitude of the reaction force at B (in kN) is __________. Assume that the effect of the axial force on bending is negligible.

Diagram for Engineering Sciences question 71

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GATE XE format:nat PYQs

Question 51

Question 53

Question 56

Question 63

Question 66

Question 67

Question 68

Question 69

Question 70

Question 71