What should be the minimum force $P$ to be applied to the string so that block of mass $m$ just begins to move up the frictionless plane.
$Mg\, tan\, \theta /2$
$Mg\, cot\, \theta /2$
$\frac{{Mg\,\cos \theta }}{{1 + \sin \theta }}$
None
A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of $30^o$ with the ground. A monkey of mass $5\,kg$ climbs up the rope. The clamp can tolerate a vertical force of $40\,N$ only. The maximum acceleration in upward direction with which the monkey can climb safely is ............ $m/s^2$ (neglect friction and take $g = 10\, m/s^2$)
A stunt man jumps his car over a crater as shown (neglect air resistance)
Two blocks are connected by a spring. The combination is suspended, at rest, from a string attatched to the ceiling, as shown in the figure. The string breaks suddenly. Immediately after the string breaks, what is the initial downward acceleration of the upper block of mass $2\,m$ ?
Two masses of $5\, kg$ and $10\, kg$ are connected to a pulley as shown. What will be the acceleration if the pulley is set free ($g =$ acceleration due to gravity)
A bucket tied at the end of a $1.6\, m$ long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position ............ $m/sec$ (Take $g = 10\, m/sec^2$)