questin based on instantneous axis of rotation and Toppling questions with solutions

Showing 1–8 of 8 questions

• MCQmediumRotational Motionquestin based on instantneous axis of rotation and Toppling

  Same number of books are placed in four book cases as shown. Which bookcase is most likely to topple forward if pulled a little at the top towards right:

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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• NumericmediumRotational Motionquestin based on instantneous axis of rotation and Toppling

  A 20 kg cabinet is mounted on small casters that allow it to move freely (μ = 0) on the floor. If a 100 N force is applied as shown. The maximum value of h for which cabinet will not tip is 0.5 × n. Find the value of n.

  

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• Multi-correctmediumRotational Motionquestin based on instantneous axis of rotation and Toppling

  A block with a square base measuring 'a' × 'a' and height h, is placed on an inclined plane. The coefficient of friction is μ. The angle of inclination (θ) of the plane is gradually increased. The block will

  Select all that apply

  • Option A

    topple before sliding if μ> a h

  • Option B

    topple before sliding if μ< a h

  • Option C

    slide before toppling if μ> a h

  • Option D

    slide before toppling if μ< a h

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• MCQmediumRotational Motionquestin based on instantneous axis of rotation and Toppling

  A cubical block of side L rests on a rough horizontal surface with coefficient of friction μ. A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

  

  Options

  • Option A

    Infinitesimal

  • Option B

    mg/4

  • Option C

    mg/2

  • Option D

    mg(1-µ)

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• MCQmediumRotational Motionquestin based on instantneous axis of rotation and Toppling

  A vertical rectangular door with its centre of gravity at O (see figure) is fixed on two hinges A and B along one vertical length side of the door. The entire weight of the door is supported by the hinge A. Then the free body force diagram for the door (the arrows indicate the direction of the forces) is:

  

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  • Option B

    
  • Option C

    
  • Option D

    

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• MCQmediumRotational Motionquestin based on instantneous axis of rotation and Toppling

  A homogeneous cubical brick lies motionless on a rough inclined surface. The half of the brick which applies greater pressure on the plane is:

  

  Options

  • Option A

    left halfboth applies equal pressure

  • Option B

    right halfthe answer depend upon coefficient of friction

  • Option C

    both applies equal pressure

  • Option D

    the answer depend upon coefficient of friction

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• NumericmediumRotational Motionquestin based on instantneous axis of rotation and Toppling

  A uniform cubical box of side a rests on a rough floor and is to be moved by applying the minimum possible force F at a point b above its centre of mass. If µ = 0.4, find the maximum value of 100b/a for which the box does not topple before moving.

  

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• MCQmediumRotational Motionquestin based on instantneous axis of rotation and Toppling

  A uniform rod of length ℓ receives an impulse perpendicular to its length at a point a distance x from its centre, as shown. What is the distance of the instantaneous centre of rotation from the rod centre immediately after the impulse?

  

  Options

  • Option A

    ℓ²/(6x)

  • Option B

    ℓ²/(12x)

  • Option C

    ℓ²/(24x)

  • Option D

    12x/ℓ²

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