Mechanical Engineering - Engineering Mechanics

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Question - 1

A particle slides down a smooth inclined plane of elevation 45° fixed in an elevator going up with an acceleration g. The base of incline has length L.The time taken by particle to reach the bottom is

  • A \(\sqrt{L\over g}\)
  • B \(\sqrt{2L\over g}\)
  • C \(\sqrt{L\over 2g}\)
  • D \(\sqrt{g\over L}\)

Question - 2

The tension in cable ABD is

  • A 66.66 N
  • B 70.7 N
  • C 88 N
  • D None of these

Question - 3

A roller of weight 500 N has a radius of 120 mm and is pulled over a step of height 60 mm by a horizontal force P. Find magnitude of P to just start the roller over the step. (Refer figure)

  • A 210N
  • B 279N
  • C 288N
  • D 291N

Question - 4

Cylindrical rollers of weight 50 N are placed as shown in figure. The reaction at point of contact is

  • A 67N
  • B 71N
  • C 63N
  • D 58N

Question - 5

Force in member AE is

  • A 20.7 kN
  • B 41.57 kN
  • C 31.17 kN
  • D zero

Question - 6

The coefficient of static friction between the two blocks shown in figure is 11 and the table is smooth. What maximum horizontal force F can be applied to the block of mass M so that the blocks move together?

Given m = 2 kg, M = 4 kg, μ = 0.1 and g = 10 rn/s2

  • A 6N
  • B 8N
  • C 4N
  • D 10N

Question - 7

The coefficient of static friction between the block of 2 kg and the table shown in figure is μs = 0.2. What should be the maximum value of m so that the blocks do not move? Take g = 10 rn/s2. The string and the pulley are light and smooth

  • A 0.2kg
  • B 0.6kg
  • C 0.4kg
  • D None of these

Question - 8

A block slides down an incline of angle 30° with an acceleration g/4. The kinetic friction coefficient is

  • A \(\sqrt3\over2\)
  • B \(1\over\sqrt3\)
  • C \(1\over\sqrt32\)
  • D \(1\over2\sqrt3\)

Question - 9

A block placed on a horizontal surface is being pushed by a force F making an angle \(\theta\) with the vertical. If the friction coefficient is \(\mu\).how much force is needed to get the block just started?

  • A \(\mu mg\over cos\theta-\mu sin\theta\)
  • B \(\mu mg\over sin\theta-\mu cos\theta\)
  • C μ mg tan θ
  • D None of these

Question - 10

surface below the bigger block is smooth. The coefficient of friction between the blocks is μ. Find the minimum force F that can be applied in order to keep the smaller blocks at rest with respect to the bigger block.

  • A \({1-\mu\over 1+\mu}(M+2m)g\)
  • B \({1+\mu\over 1-\mu}(M+2m)g\)
  • C \(\left(1-\mu\over 1+\mu\right)Mg\)
  • D \(\left(1+\mu\over 1-\mu\right)Mg\)