Both the blocks shown here are of mass $m$ and are moving with constant velocity in direction shown in a resistive medium which exerts equal constant force on both blocks in direction opposite to the velocity. The tension in the string connecting both of them will be (Neglect friction)
$mg$
$mg / 2$
$mg / 3$
$mg / 4$
A light string passing over a smooth light pulley connects two block of masses $m_1$ and $m_2$ (vertically). If the acceleration of the system is $(\frac {g}{8})$, then the ratio of masses is
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 $2\,m$ ?
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 $g = 10\, m/s^2$)
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 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?