05. Rotational Motion and Rotational Energy
« Previous Topic: 04. Equilibrium of Rigid Body Next Topic: 06. Rolling Motion »
Rotational Motion

150329 A disc of mass \(M\) and radius \(R\) rolls without slipping on a level surface with a linear speed \(v\). Its kinetic energy will be given by

1 \(\frac{3}{4} \mathrm{Mv}^{2}\)
2 \(\frac{4}{3} \mathrm{Mv}^{2}\)
3 \(2 \mathrm{Mv}^{2}\)
4 \(3 \mathrm{Mv}^{2}\)
AP EAMCET-24.09.2020
Rotational Motion

150330 A rod of length \(L\) revolves in a horizontal plane about the axis passing through its centre and perpendicular to its length. The angular velocity of the rod is \(\omega\). If \(A\) is the area of crosssection of the rod and \(\rho\) is its density, then the rotational kinetic energy of the rod is

1 \(\frac{1}{3} \mathrm{AL}^{3} \rho \omega^{2}\)
2 \(\frac{1}{2} A L^{3} \rho \omega^{2}\)
3 \(\frac{1}{24} \mathrm{AL}^{3} \rho \omega^{2}\)
4 \(\frac{1}{18} \mathrm{AL}^{3} \rho \omega^{2}\)
TS- EAMCET-11.09.2020
Rotational Motion

150331 A uniform solid sphere of radius \(R\) and radius of gyration \(k\) about an axis passing through the centre of mass is rolling without slipping. Then, the fraction of total energy associated with its rotation will be

1 \(\frac{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}{\mathrm{k}^{2}}\)
2 \(\frac{\mathrm{k}^{2}}{\mathrm{R}^{2}}\)
3 \(\frac{\mathrm{k}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
4 \(\frac{\mathrm{R}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150332 Kinetic energy of rotation of a flywheel of radius \(2 \mathrm{~m}\), mass \(8 \mathrm{~kg}\) and angular speed 4 rad. \(^{-1}\) about an axis perpendicular to its plane and passing through its centre is

1 \(128 \mathrm{~J}\)
2 \(196 \mathrm{~J}\)
3 \(256 \mathrm{~J}\)
4 \(392 \mathrm{~J}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150333 A light meter rod has two-point masses each of \(2 \mathbf{~ k g}\) fixed at its ends. If the system rotates about its centre of mass with an angular speed of \(0.5 \mathrm{rad} \mathrm{s}^{-1}\), its rotational \(\mathrm{KE}\) is

1 0.125 erg
2 125 erg
3 \(1.25 \mathrm{~J}\)
4 \(0.125 \mathrm{~J}\)
AP EAMCET (18.09.2020) Shift-II
NEET DIGITAL LIBRARY
Rotational Motion

150329 A disc of mass \(M\) and radius \(R\) rolls without slipping on a level surface with a linear speed \(v\). Its kinetic energy will be given by

1 \(\frac{3}{4} \mathrm{Mv}^{2}\)
2 \(\frac{4}{3} \mathrm{Mv}^{2}\)
3 \(2 \mathrm{Mv}^{2}\)
4 \(3 \mathrm{Mv}^{2}\)
AP EAMCET-24.09.2020
Rotational Motion

150330 A rod of length \(L\) revolves in a horizontal plane about the axis passing through its centre and perpendicular to its length. The angular velocity of the rod is \(\omega\). If \(A\) is the area of crosssection of the rod and \(\rho\) is its density, then the rotational kinetic energy of the rod is

1 \(\frac{1}{3} \mathrm{AL}^{3} \rho \omega^{2}\)
2 \(\frac{1}{2} A L^{3} \rho \omega^{2}\)
3 \(\frac{1}{24} \mathrm{AL}^{3} \rho \omega^{2}\)
4 \(\frac{1}{18} \mathrm{AL}^{3} \rho \omega^{2}\)
TS- EAMCET-11.09.2020
Rotational Motion

150331 A uniform solid sphere of radius \(R\) and radius of gyration \(k\) about an axis passing through the centre of mass is rolling without slipping. Then, the fraction of total energy associated with its rotation will be

1 \(\frac{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}{\mathrm{k}^{2}}\)
2 \(\frac{\mathrm{k}^{2}}{\mathrm{R}^{2}}\)
3 \(\frac{\mathrm{k}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
4 \(\frac{\mathrm{R}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150332 Kinetic energy of rotation of a flywheel of radius \(2 \mathrm{~m}\), mass \(8 \mathrm{~kg}\) and angular speed 4 rad. \(^{-1}\) about an axis perpendicular to its plane and passing through its centre is

1 \(128 \mathrm{~J}\)
2 \(196 \mathrm{~J}\)
3 \(256 \mathrm{~J}\)
4 \(392 \mathrm{~J}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150333 A light meter rod has two-point masses each of \(2 \mathbf{~ k g}\) fixed at its ends. If the system rotates about its centre of mass with an angular speed of \(0.5 \mathrm{rad} \mathrm{s}^{-1}\), its rotational \(\mathrm{KE}\) is

1 0.125 erg
2 125 erg
3 \(1.25 \mathrm{~J}\)
4 \(0.125 \mathrm{~J}\)
AP EAMCET (18.09.2020) Shift-II
Join With Us for More Updates
Rotational Motion

150329 A disc of mass \(M\) and radius \(R\) rolls without slipping on a level surface with a linear speed \(v\). Its kinetic energy will be given by

1 \(\frac{3}{4} \mathrm{Mv}^{2}\)
2 \(\frac{4}{3} \mathrm{Mv}^{2}\)
3 \(2 \mathrm{Mv}^{2}\)
4 \(3 \mathrm{Mv}^{2}\)
AP EAMCET-24.09.2020
Rotational Motion

150330 A rod of length \(L\) revolves in a horizontal plane about the axis passing through its centre and perpendicular to its length. The angular velocity of the rod is \(\omega\). If \(A\) is the area of crosssection of the rod and \(\rho\) is its density, then the rotational kinetic energy of the rod is

1 \(\frac{1}{3} \mathrm{AL}^{3} \rho \omega^{2}\)
2 \(\frac{1}{2} A L^{3} \rho \omega^{2}\)
3 \(\frac{1}{24} \mathrm{AL}^{3} \rho \omega^{2}\)
4 \(\frac{1}{18} \mathrm{AL}^{3} \rho \omega^{2}\)
TS- EAMCET-11.09.2020
Rotational Motion

150331 A uniform solid sphere of radius \(R\) and radius of gyration \(k\) about an axis passing through the centre of mass is rolling without slipping. Then, the fraction of total energy associated with its rotation will be

1 \(\frac{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}{\mathrm{k}^{2}}\)
2 \(\frac{\mathrm{k}^{2}}{\mathrm{R}^{2}}\)
3 \(\frac{\mathrm{k}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
4 \(\frac{\mathrm{R}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150332 Kinetic energy of rotation of a flywheel of radius \(2 \mathrm{~m}\), mass \(8 \mathrm{~kg}\) and angular speed 4 rad. \(^{-1}\) about an axis perpendicular to its plane and passing through its centre is

1 \(128 \mathrm{~J}\)
2 \(196 \mathrm{~J}\)
3 \(256 \mathrm{~J}\)
4 \(392 \mathrm{~J}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150333 A light meter rod has two-point masses each of \(2 \mathbf{~ k g}\) fixed at its ends. If the system rotates about its centre of mass with an angular speed of \(0.5 \mathrm{rad} \mathrm{s}^{-1}\), its rotational \(\mathrm{KE}\) is

1 0.125 erg
2 125 erg
3 \(1.25 \mathrm{~J}\)
4 \(0.125 \mathrm{~J}\)
AP EAMCET (18.09.2020) Shift-II
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Rotational Motion

150329 A disc of mass \(M\) and radius \(R\) rolls without slipping on a level surface with a linear speed \(v\). Its kinetic energy will be given by

1 \(\frac{3}{4} \mathrm{Mv}^{2}\)
2 \(\frac{4}{3} \mathrm{Mv}^{2}\)
3 \(2 \mathrm{Mv}^{2}\)
4 \(3 \mathrm{Mv}^{2}\)
AP EAMCET-24.09.2020
Rotational Motion

150330 A rod of length \(L\) revolves in a horizontal plane about the axis passing through its centre and perpendicular to its length. The angular velocity of the rod is \(\omega\). If \(A\) is the area of crosssection of the rod and \(\rho\) is its density, then the rotational kinetic energy of the rod is

1 \(\frac{1}{3} \mathrm{AL}^{3} \rho \omega^{2}\)
2 \(\frac{1}{2} A L^{3} \rho \omega^{2}\)
3 \(\frac{1}{24} \mathrm{AL}^{3} \rho \omega^{2}\)
4 \(\frac{1}{18} \mathrm{AL}^{3} \rho \omega^{2}\)
TS- EAMCET-11.09.2020
Rotational Motion

150331 A uniform solid sphere of radius \(R\) and radius of gyration \(k\) about an axis passing through the centre of mass is rolling without slipping. Then, the fraction of total energy associated with its rotation will be

1 \(\frac{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}{\mathrm{k}^{2}}\)
2 \(\frac{\mathrm{k}^{2}}{\mathrm{R}^{2}}\)
3 \(\frac{\mathrm{k}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
4 \(\frac{\mathrm{R}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150332 Kinetic energy of rotation of a flywheel of radius \(2 \mathrm{~m}\), mass \(8 \mathrm{~kg}\) and angular speed 4 rad. \(^{-1}\) about an axis perpendicular to its plane and passing through its centre is

1 \(128 \mathrm{~J}\)
2 \(196 \mathrm{~J}\)
3 \(256 \mathrm{~J}\)
4 \(392 \mathrm{~J}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150333 A light meter rod has two-point masses each of \(2 \mathbf{~ k g}\) fixed at its ends. If the system rotates about its centre of mass with an angular speed of \(0.5 \mathrm{rad} \mathrm{s}^{-1}\), its rotational \(\mathrm{KE}\) is

1 0.125 erg
2 125 erg
3 \(1.25 \mathrm{~J}\)
4 \(0.125 \mathrm{~J}\)
AP EAMCET (18.09.2020) Shift-II
NEET DIGITAL LIBRARY
Rotational Motion

150329 A disc of mass \(M\) and radius \(R\) rolls without slipping on a level surface with a linear speed \(v\). Its kinetic energy will be given by

1 \(\frac{3}{4} \mathrm{Mv}^{2}\)
2 \(\frac{4}{3} \mathrm{Mv}^{2}\)
3 \(2 \mathrm{Mv}^{2}\)
4 \(3 \mathrm{Mv}^{2}\)
AP EAMCET-24.09.2020
Rotational Motion

150330 A rod of length \(L\) revolves in a horizontal plane about the axis passing through its centre and perpendicular to its length. The angular velocity of the rod is \(\omega\). If \(A\) is the area of crosssection of the rod and \(\rho\) is its density, then the rotational kinetic energy of the rod is

1 \(\frac{1}{3} \mathrm{AL}^{3} \rho \omega^{2}\)
2 \(\frac{1}{2} A L^{3} \rho \omega^{2}\)
3 \(\frac{1}{24} \mathrm{AL}^{3} \rho \omega^{2}\)
4 \(\frac{1}{18} \mathrm{AL}^{3} \rho \omega^{2}\)
TS- EAMCET-11.09.2020
Rotational Motion

150331 A uniform solid sphere of radius \(R\) and radius of gyration \(k\) about an axis passing through the centre of mass is rolling without slipping. Then, the fraction of total energy associated with its rotation will be

1 \(\frac{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}{\mathrm{k}^{2}}\)
2 \(\frac{\mathrm{k}^{2}}{\mathrm{R}^{2}}\)
3 \(\frac{\mathrm{k}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
4 \(\frac{\mathrm{R}^{2}}{\left(\mathrm{k}^{2}+\mathrm{R}^{2}\right)}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150332 Kinetic energy of rotation of a flywheel of radius \(2 \mathrm{~m}\), mass \(8 \mathrm{~kg}\) and angular speed 4 rad. \(^{-1}\) about an axis perpendicular to its plane and passing through its centre is

1 \(128 \mathrm{~J}\)
2 \(196 \mathrm{~J}\)
3 \(256 \mathrm{~J}\)
4 \(392 \mathrm{~J}\)
AP EAMCET (23.09.2020) Shift-I
Rotational Motion

150333 A light meter rod has two-point masses each of \(2 \mathbf{~ k g}\) fixed at its ends. If the system rotates about its centre of mass with an angular speed of \(0.5 \mathrm{rad} \mathrm{s}^{-1}\), its rotational \(\mathrm{KE}\) is

1 0.125 erg
2 125 erg
3 \(1.25 \mathrm{~J}\)
4 \(0.125 \mathrm{~J}\)
AP EAMCET (18.09.2020) Shift-II