In a bicycle the radius of rear wheel is twice the radius of front wheel. If $r_F$ and $r_r$ are the radius, $v_F$ and $v_r$ are the speeds of top most points of wheel, then
$v_r = 2v_F$
$v_F = 2v_r$
$v_F = v_r$
$v_F > v_r$
Two particles whose masses are $10\,kg$ and $30\,kg$ and their position vectors are $\hat i +\hat j+ \hat k$ and $-\hat i -\hat j -\hat k$ respectively would have the centre of mass at
A ring of radius $4a$ is rigidly fixed in vertical position on a table. A small disc of mass $m$ and radius $a$ is released as shown in the fig. When the disc rolls down, without slipping, to the lowest point of the ring, then its speed 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
A disc is rotating with an angular velocity $\omega_0$. A constant retarding torque is applied on it to stop the disc. The angular velocity becomes $\frac{{{\omega _0}}}{2}$ after $n$ rotations. How many more rotations will it make before coming to rest
In the given figure linear acceleration of solid cylinder of mass $m_2$ is $a_2$ . Then angular acceleration $\alpha_2$ is (given that there is no slipping)