The radius of circle the period of revolution initial position and sense of revolution are indicated in the figure.
$y-$projection of the radius vector of rotating particle $\mathrm{P}$ is
$y(t)=-3 \cos 2 \pi t,$ where $y$ in $m$
$y(t)=4 \sin \left(\frac{\pi t}{2}\right),$ where $y$ in $m$
$y(t)=3 \cos \left(\frac{3 \pi t}{2}\right),$ where $y$ in $m$
$y(t)=3 \cos \left(\frac{\pi t}{2}\right),$ where $y$ in $m$
A particle is moving on a circular path of radius $r$ with uniform speed $v$. The magnitude of change in velocity when the particle moves from $P$ to $Q$ is $(\angle POQ = 40^o)$
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
A scooter is going round a circular road of radius $100 \,m$ at a speed of $10 \,m/s$. The angular speed of the scooter will be ......... $rad/s$
A ball of mass $0.1$ kg is suspended by a string. It is displaced through an angle of ${60^o}$ and left. When the ball passes through the mean position, the tension in the string is ........ $N$
A particle is moving with constant speed $\sqrt 2\,m/s$ on a circular path of radius $10\,cm$. Find the magnitude of average velocity when it has covered ${\left( {\frac{3}{4}} \right)^{th}}$ circular path