A solid disc rolls clockwise without slipping over a horizontal path with a constant speed $\upsilon $. Then the magnitude of the velocities of points $A, B$ and $C$ (see figure) with respect to a standing
$\upsilon ,\,\upsilon {\rm{ \,and\, }}\upsilon $
$2\upsilon ,\,\sqrt 2 \upsilon {\rm{ \,and\,}}\,{\rm{zero}}$
$2\upsilon ,\,2\upsilon {\rm{\,and\,}}\,{\rm{zero}}$
$2\upsilon ,\,\sqrt 2 \upsilon {\rm{\,and\,}}\,\sqrt 2 \upsilon $
For particle $P$ revolving round the centre $O$ with radius of circular path $r$ and angular velocity $\omega$, as shown in below figure, the projection of $OP$ on the $x$-axis at time $t$ is $.................$.
An object moves at a constant speed along a circular path in horizontal $XY$ plane with centre at origin. When the object is at $x = -2\,m$ , its velocity is $-(4\,m/ s)\hat j$ . What is object's acceleration when it is at $y = 2\,m$ ?
A stone tied to the end of a string $80\; cm$ long is whirled in a horizontal circle with a constant speed. If the stone makes $14$ revolutions in $25\; s$, what is the magnitude and direction of acceleration of the stone ?
A particle of mass ${m}$ is suspended from a ceiling through a string of length $L$. The particle moves in a horizontal circle of radius $r$ such that ${r}=\frac{{L}}{\sqrt{2}}$. The speed of particle will be:
A particle is revolving in a circular path of radius $25 \,m$ with constant angular speed $12 \,rev/min$. Then the angular acceleration of particle is .......... $rad / s ^2$