Engineering-mechanics Questions Set 4:
How many centers of gravity does an irregular body possess?
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For a given velocity of a projectile, the angle of projection with the horizontal that gives the maximum range is
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The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by
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An electric lift is moving downward with an acceleration of g/2. Find the vertical force between a passenger in the lift and its floor.
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The minimum diameter of steel wire required to raise a load is 8.46 mm. If the stress in the load is not to exceed 80 MN/m2, find the load.
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In a single-threaded worm and worm wheel mechanism, the number of teeth on the worm is 150. The diameter of the effort wheel is 300 mm and that of the load drum is 100 mm. What is the velocity ratio?
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Two parallel forces of the same direction are acting at a distance of 20 mm apart, and their resultant is 25 N. If the line of action of the resultant is 6 mm from any given force, what are the two forces?
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A thin string of negligible mass with one end fixed to the roof is wound around a circular disk of radius 2 m and mass 10 kg. The disk rolls vertically down under the action of its own weight. Find the tension in the string. (Take g = 10 m/s2)
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A particle with unit mass is moving on a plane. The path traced by the particle in the polar coordinate system is given by r(t) = t2, θ(t), where t is time. Find the kinetic energy of the particle at time t = 2. (Given: sin(2 radians) = 0.91 and cos(2 radians) = -0.42)
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A block with a mass of 10 kg slides on a frictionless horizontal surface with an initial speed of 5 m/s towards a spring attached to a wall. The spring constant is 4000 N/m. Calculate the compression in the spring when the final velocity of the block is 2 m/s.
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