Mechanical Engineering
GATE ME topic:mechanical-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 511–520 of 1040. Imported answers require independent review unless marked reviewed.
Question 51
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An overhanging beam
is subjected to uniformly distributed load 20 kN/m as shown in the figure. 
The maximum bending stress developed in the beam is ______ MPa (round off to one decimal place).
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A block of negligible mass rests on a surface that is inclined at 30° to the horizontal plane as shown in the figure. When a vertical force of 900 N and a horizontal force of 750 N are applied, the block is just about to slide.
The coefficient of static friction between the block and surface is __________ (round off to two decimal places).
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The Whitworth quick return mechanism is shown in the figure with link lengths as follows: OP = 300 mm, OA = 150 mm, AR = 160 mm, RS = 450 mm.
The quick return ratio for the mechanism is ______ (round off to one decimal place).
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The wheels and axle system lying on a rough surface is shown in the figure. Each wheel has diameter 0.8 m and mass 1 kg. Assume that the mass of the wheel is centred at rim and neglect the mass of the spokes. The diameter of axle is 0.2 m and its mass is 1.5 kg. Neglect the moment of inertia of the axle and assume g = 9.8 m/s². An effort of 10 N is applied on the axle in the horizontal direction shown at mid span of the axle. Assume that the wheels move on a horizontal surface without slip. The acceleration of the wheel axle system in horizontal direction is ______ m/s² (round off to one decimal place).
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A short shoe drum (radius 260 mm) brake is shown in the figure. A force of 1 kN is applied to the lever. The coefficient of friction is 0.4.
The magnitude of the torque applied by the brake is ______ N.m (round off to one decimal place).
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A cantilever beam with a uniform flexural rigidity (
N.m²) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the beam is 1000 N.m². The magnitude of the slope of the beam at its free end is ______ micro radian (round off to the nearest integer).Log in to check the answer
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A machine part in the form of cantilever beam is subjected to fluctuating load as shown in the figure. The load varies from 800 N to 1600 N. The modified endurance, yield and ultimate strengths of the material are 200 MPa, 500 MPa and 600 MPa, respectively.
The factor of safety of the beam using modified Goodman criterion is ______ (round off to one decimal place).
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The torque provided by an engine is given by
N.m, where θ is the angle turned by the crank from inner dead center. The mean speed of the engine is 200 rpm and it drives a machine that provides a constant resisting torque. If variation of the speed from the mean speed is not to exceed ±0.5%, the minimum mass moment of inertia of the flywheel should be ______ kg.m² (round off to the nearest integer).Log in to check the answer
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A cantilever beam of rectangular cross-section is welded to a support by means of two fillet welds as shown in figure. A vertical load of 2 kN acts at free end of the beam.
Considering that the allowable shear stress in weld is 60 N/mm², the minimum size (leg) of the weld required is ______ mm (round off to one decimal place).
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The figure shows the relationship between fatigue strength (S) and fatigue life (N) of a material. The fatigue strength of the material for a life of 1000 cycles is 450 MPa, while its fatigue strength for a life of 10⁶ cycles is 150 MPa. The life of a cylindrical shaft made of this material subjected to an alternating stress of 200 MPa will then be ______ cycles (round off to the nearest integer).
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