A circular disc of radius $R$ has a uniform thickness. A circular hole of diameter equal to the radius of disc has been cut out as shown. Distance of centre of mass of the remaining disc from point $O$ is
A circular disc of radius $R$ has a uniform thickness. A circular hole of diameter equal to the radius of disc has been cut out as shown. Distance of centre of mass of the remaining disc from point $O$ is
- A
$\frac{R}{14}$
- B
$\frac{R}{12}$
- C
$\frac{R}{8}$
- D
$\frac{R}{6}$
Similar Questions
In the $HCl$ molecule, the separation between the nuclei of the two atoms is about $1.27\,\mathop A\limits^o \left( {1\,\mathop A\limits^o = {{10}^{ - 10}}\,m} \right)$. The approximate location of the centre of mass of the molecule from hydrogen atom, assuming the chlorine atom to be about $35.5$ times massive as hydrogen is ....... $\mathop A\limits^o $
In the $HCl$ molecule, the separation between the nuclei of the two atoms is about $1.27\,\mathop A\limits^o \left( {1\,\mathop A\limits^o = {{10}^{ - 10}}\,m} \right)$. The approximate location of the centre of mass of the molecule from hydrogen atom, assuming the chlorine atom to be about $35.5$ times massive as hydrogen is ....... $\mathop A\limits^o $
Four forces are applied to a wheel of radius $10\,cm$ as shown in the figure. The net torque produced by all these forces about $C$ is
Four forces are applied to a wheel of radius $10\,cm$ as shown in the figure. The net torque produced by all these forces about $C$ is
A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its end with a uniform angular velocity $\omega$. The force exerted by the liquid at the other end is
A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its end with a uniform angular velocity $\omega$. The force exerted by the liquid at the other end is
The moment of inertia of a sphere (mass $M$ and radius $R$) about it’s diameter is $I$. Four such spheres are arranged as shown in the figure. The moment of inertia of the system about axis $XX'$ will be
The moment of inertia of a sphere (mass $M$ and radius $R$) about it’s diameter is $I$. Four such spheres are arranged as shown in the figure. The moment of inertia of the system about axis $XX'$ will be
In the following figure $r_1$ and $r_2$ are $5\,cm$ and $30\,cm$ respectively. If the moment of inertia of the wheel is $1500\,kg\,m^2$ then its angular acceleration will be (Approximately)
In the following figure $r_1$ and $r_2$ are $5\,cm$ and $30\,cm$ respectively. If the moment of inertia of the wheel is $1500\,kg\,m^2$ then its angular acceleration will be (Approximately)