A mass $M$ is suspended by a rope from a rigid support at $A$ as shown in figure. Another rope is tied at the end $B$, and it is pulled horizontally with a force $.......$ with the vertical in equilibrium, then the tension in the string $AB$ is :
$F / \sin \theta$
$F \sin \theta$
$F \cos \theta$
$F / \cos \theta$
A bomb of mass $1 \,kg$ initially at rest, explodes and breaks into three fragments of masses in the ratio $1: 1: 3$. The two pieces of equal mass fly off perpendicular to each other with a speed $15 \,m / s$ each. The speed of heavier fragment is ........... $m / s$
With what minimum velocity should block be projected from left end $A$ towards end $B$ such that it reaches the other end $B$ of conveyer belt moving with constant velocity $v$. Friction coefficient between block and belt is $\mu$.
A rope of mass $5\,kg$ is moving vertically in vertical position with an upwards force of $100\,N$ acting at the upper end and a downwards force of $70\,N$ acting at the lower end. The tension at midpoint of the rope is $............\,N$
A pendulum of mass $m$ hangs from a support fixed to a trolley. The direction of the string when the trolley rolls up of plane of inclination $\alpha$ with acceleration $a_0$ is (String and bob remain fixed with respect to trolley)
A stunt man jumps his car over a crater as shown (neglect air resistance)