A weight can be hung in any of the following four ways by string of same type. In which case is the string most likely to break?
$C$
$B$
$A$
$D$
The pulleys in the diagram are all smooth and light. The acceleration of $A$ is $a$ upwards and the acceleration of $C$ is $f$ downwards. The acceleration of $B$ is
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 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 :
The acceleration of $10\,kg$ block when $F =30\,N$
Two masses $m_1 = 5\, kg$ and $m_2 = 4.8\, kg$ tied to a string are hanging over a light frictionless pulley. ............ $m/s^2$ is the acceleration of the masses when they are free to move . $(g = 9.8\, m/s^2)$