If a spherical ball rolls on a table without slipping the friction of its total energy associated with rotational energy is :

3/5

2/7

2/5

3/7

Solution

2/7

The rotational energy of sphere

$E_{R} = \frac{1}{2} I ω^{2} For sphere moment of inertia I = \frac{2}{5} {mR}^{2} E_{R} = \frac{1}{2} (\frac{2}{5} m R^{2}) {(\frac{v}{R})}^{2} = \frac{1}{5} {mv}^{2} TRanslational kinetic energy E_{r} = \frac{1}{2} {mv}^{2} Total energy = \frac{1}{5} {mv}^{2} + \frac{1}{2} {mv}^{2} = \frac{7}{10} {mv}^{2}$

$Required fraction = \frac{\frac{1}{5} {mv}^{2}}{\frac{7}{10} {mv}^{2}} = \frac{2}{7}$

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System Of Particles And Rotational Motion

If a spherical ball rolls on a table without slipping the friction of its total energy associated with rotational energy is :

3/5

2/7

2/5

3/7

Some More Questions From System of Particles and Rotational Motion Chapter

Angular momentum of the particle rotating with a central force is constant due to

Four point masses, each of value m, are placed at the corners of a square ABCD of side A. The moment of inertia through A and parallel to BD is

A wire elongates by

A ‘T’ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C

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System Of Particles And Rotational Motion

If a spherical ball rolls on a table without slipping the friction of its total energy associated with rotational energy is : 3/5 2/7 2/5 3/7

Some More Questions From System of Particles and Rotational Motion Chapter

Angular momentum of the particle rotating with a central force is constant due to

Four point masses, each of value m, are placed at the corners of a square ABCD of side A. The moment of inertia through A and parallel to BD is

A wire elongates by

A ‘T’ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If a spherical ball rolls on a table without slipping the friction of its total energy associated with rotational energy is :

3/5

2/7

2/5

3/7