Lakshya Education MCQs

Question: A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)
Options:
A.(1/3) g sin0
B.(2/5) g sin 0
C.(3/7) g sin 0
D.(5/7) g sin0
Answer: Option D

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Question 1. The ratio of unit of force in gravitational system to that in absolute system is (where ‘g’ is acceleration due to gravity)
  1.    1
  2.    g
  3.    1/g
  4.    none of the above
Answer: Option B
Question 2. A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if
  1.    Floor is smooth and the wall is rough
  2.    Floor is rough and the wall is smooth
  3.    Floor and wall both are smooth surfaces
  4.    Floor and wall both are rough surfaces
Answer: Option C
Question 3. If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is
  1.    g/2
  2.    g/3
  3.    g/4
  4.    g/5
Answer: Option B
Question 4. The unit of rotational inertia of a body in C.G.S system is
  1.    cm⁴
  2.    kg.cm²
  3.    gm.cm²
  4.    gm.cm3
Answer: Option C
Question 5. ‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation
  1.    ω² (l cos ϕ + r sin ϕ tan θ)
  2.    ω² (l sin ϕ + r cos φ tan θ)
  3.    ω (l sin ϕ + r cos ϕ tan θ)
  4.    ω² (l sin ϕ - r cos θ tan ϕ)
Answer: Option C
Question 6. The load shared by the member BC of the structure shown in below figure is
  1.    23 t
  2.    32 t
  3.    4 t
  4.    3 t
Answer: Option C

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