The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane : (i) a ring of radius R, (ii) a solid cylinder of radius R/2 and (iii) a solid sphere of radius R/4. If in each case, the speed of the centre of mass at the bottom of the incline is same, the ratio of the maximum height they climb is :

Question:

26.The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane : (i) a ring of radius R, (ii) a solid cylinder of radius R/2 and (iii) a solid sphere of radius R/4. If in each case, the speed of the centre of mass at the bottom of the incline is same, the ratio of the maximum height they climb is :

Options :

a) 14 : 15 : 20
b) 10 : 15 : 7
c) 4 : 3 :2
d) 20 : 15 :14

Answer :

d) 20 : 15 : 14

Answer Steps :

Solution :-

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Four particles each of mass m are placed at the corners of a square of side length l. The radius of gyration of the system about an axis perpendicular to the square and passing through its centre is [EAMCET (Med.) 2000]

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