Engineering Sciences
2023 · Paper 1
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Complete GATE XE 2023 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 82–84 of 175. Imported answers require review unless explicitly marked reviewed.
Question 82
Open questionXE-DNAT2 marksNeeds review
A block of mass m = 10 kg is lying on an inclined plane PQ. The mass is restrained from sliding down the inclined plane by a force F. The coefficient of friction between the block and the inclined plane is 0.3. Take the acceleration due to gravity as 10 m/s
. The smallest force F (in N) required to prevent the block from sliding down is_____(rounded off to one decimal place). 
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Open questionXE-DNAT2 marksNeeds review
A spherical rigid ball of mass 10 kg is moving with a speed of 2 m/s in the direction shown. The ball collides with a rigid frictionless wall and rebounds at an angle α with a speed of v, as shown. The coefficient of restitution is 0.9. The angle α (in degrees) is_____(rounded off to one decimal place).
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Open questionXE-DNAT2 marksNeeds review
A thin steel plate is loaded in the x-y plane as shown in the figure. Take the Poisson’s ratio of steel to be 0.3 and the modulus of elasticity of steel to be 200 GPa. The strain along the z-direction is
. The value of
(in MPa) is_____(rounded off to one decimal place). 
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