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Three bodies, a ring, a soild cylinder a...

Three bodies, a ring, a soild cylinder and a soild sphere roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical. Which of the bodies reaches the ground with maximum velocity ?

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To determine which of the three bodies (a ring, a solid cylinder, and a solid sphere) reaches the ground with the maximum velocity when rolling down an inclined plane without slipping, we can follow these steps: ### Step 1: Understand the motion of rolling bodies When a body rolls down an incline without slipping, it has both translational and rotational motion. The total energy of the system is conserved, and we can relate the potential energy at the top of the incline to the kinetic energy at the bottom. ### Step 2: Write down the equation for acceleration The acceleration \( a \) of a rolling body can be expressed as: \[ ...
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NCERT ENGLISH-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISE
  1. Three bodies, a ring, a soild cylinder and a soild sphere roll down th...

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  2. Given the location of the centre of mass of a (i) sphere, (ii) cylinde...

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  7. Find the components along the x,y,z axes of the angular momentum overs...

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  11. (a) Find the moment of inertia of a sphere about a tangent to the sphe...

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  13. A solid cylinder of mass 20 kg rotates about its axis with angular spe...

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  14. A child stands at the centre of a turn table with his two arms outstre...

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  16. To maintain a rotor at a uniform angular speed of 200 "rad s"^(-1), an...

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  17. From a uniform disc of radius R, a circular section of radius R//2 is ...

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  18. A metre stick is balanced on a knife edge at its centre. When two coin...

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  19. A solid wooden sphere rolls down two different inclined planes of the ...

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  20. A hoop of radius 2 m weight 100 kg.It rolls along a horizontal floor s...

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  21. The oxygen molecule has a mass of 5.30 xx 10^(-26) kg and a moment of ...

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