GATE ME purpose:exam-prep PYQs & Answers — Page 76

Questions 751–760 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 76 of 104

In a UTM experiment, a sample of length 100 mm, was loaded in tension until failure. The failure load was 40 kN. The displacement, measured using the cross-head motion, at failure, was 15 mm. The compliance of the UTM is constant and is given by

m/N. The strain at failure in the sample is ______ %.

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A uniform disc with radius

and a mass of

kg is mounted centrally on a horizontal axle of negligible mass and length of 1.5r. The disc spins counter-clockwise about the axle with angular speed

, when viewed from the right-hand side bearing, Q. The axle precesses about a vertical axis at

in the clockwise direction when viewed from above. Let

and

(positive upwards) be the resultant reaction forces due to the mass and the gyroscopic effect, at bearings P and Q, respectively. Assuming

and

, the ratio of the larger to the smaller bearing reaction force (considering appropriate signs) is ______.

Diagram for Mechanical Engineering question 41

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At a critical point in a component, the state of stress is given as

MPa,

MPa and all other stress components are zero. The yield strength of the material is 468 MPa. The factor of safety on the basis of maximum shear stress theory is ______ (round off to one decimal place).

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A short shoe external drum brake is shown in the figure. The diameter of the brake drum is 500 mm. The dimensions

and

. The coefficient of friction between the drum and the shoe is 0.35. The force applied on the lever

as shown in the figure. The drum is rotating anti-clockwise. The braking torque on the drum is ______ N·m (round off to two decimal places).

Diagram for Mechanical Engineering question 42

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A uniform thin disk of mass 1 kg and radius 0.1 m is kept on a surface as shown in the figure. A spring of stiffness

N/m is connected to the disk center A and another spring of stiffness

N/m is connected at point B just above point A on the circumference of the disk. Initially, both the springs are unstretched. Assume pure rolling of the disk. For small disturbance from the equilibrium, the natural frequency of vibration of the system is ______ rad/s (round off to one decimal place).

Diagram for Mechanical Engineering question 43

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Water flows through two different pipes A and B of the same circular cross-section but at different flow rates. The length of pipe A is 1.0 m and that of pipe B is 2.0 m. The flow in both the pipes is laminar and fully developed. If the frictional head loss across the length of the pipes is the same, the ratio of volume flow rates

is ______ (round off to two decimal places).

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A single block brake with a short shoe and torque capacity of 250 N·m is shown. The cylindrical brake drum rotates anticlockwise at 100 rpm and the coefficient of friction is 0.25. The value of

, in mm (round off to one decimal place), such that the maximum actuating force

is 2000 N, is ______.

Diagram for Mechanical Engineering question 44

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The aerodynamic drag on a sports car depends on its shape. The car has a drag coefficient of 0.1 with the windows and the roof closed. With the windows and the roof open, the drag coefficient becomes 0.8. The car travels at 44 km/h with the windows and roof closed. For the same amount of power needed to overcome the aerodynamic drag, the speed of the car with the windows and roof open (round off to two decimal places), is ______ km/h (The density of air and the frontal area may be assumed to be constant).

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Two immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, 2 m apart as shown below. The bottom plate is fixed and the upper plate moves to the right with a constant velocity of 3 m/s. With the assumptions of Newtonian fluid, steady, and fully developed laminar flow with zero pressure gradient in all directions, the momentum equations simplify to

If the dynamic viscosity of the lower fluid,

, is twice that of the upper fluid,

, then the velocity at the interface (round off to two decimal places) is ______ m/s.

Diagram for Mechanical Engineering question 45

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Three sets of parallel plates LM, NR and PQ are given in Figures 1, 2 and 3. The view factor F_ is defined as the fraction of radiation leaving plate I that is intercepted by plate J. Assume that the values of F_ and F_ are 0.8 and 0.4, respectively. The value of F_ (round off to one decimal place) is ______.

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GATE ME purpose:exam-prep PYQs

Question 41

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