A horizontal plane supports a stationary vertical cylinder of radius $R = 1\ m$ and a disc $A$ attached to the cylinder by a horizontal thread $AB$ of length $l_0 = 2\ m$ (seen in figure, top view). An intial velocity ($v_0 = 1\ m/s$) is imparted $AB$ to the disc as shown in figure. .......... $\sec$ long will it move along the plane until it strikes against the cylinder ? (All surface are assumed to be smooth)
The figure shows a velocity-time graph of a particle moving along a straight line If the particle starts from the position $x_0=-15\,m$ , then its position at $t=2\,s$ will be ........ $m$
and direction of the vectors $\hat{ i }+\hat{ j }$, and $\hat{ i }-\hat{ j }$ ? What are the components of a vector $A =2 \hat{ i }+3 \hat{ j }$ along the directions of $\hat{ i }+\hat{ j }$ and $\hat{ i }-\hat{ j } ?$
A particle moves towards east with velocity $5\ m/s$ . After $10\ seconds$ its direction changes towards north with same velocity. The average acceleration of the particle is