In order to test the strength of a rope,one end is tied to a large tree and the other end is hitched to a team of $2$ horses. The horses pull as hard as they can,but cannot break the rope. If the rope is untied from the tree and attached to another team of $2$ horses with equal strength,and the two teams pull in opposite directions,the tension in the rope will

  • A
    decrease by a factor of $2$
  • B
    remain the same
  • C
    increase by a factor of $2$
  • D
    increase by a factor of $4$

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$A$ smooth massless string passes over a smooth fixed pulley. Two masses $m_{1}$ and $m_{2}$ $(m_{1} > m_{2})$ are tied at the two ends of the string. The masses are allowed to move under gravity starting from rest. The total external force acting on the two masses is

Three blocks of masses $4\,kg$,$6\,kg$ and $8\,kg$ are hanging over a fixed pulley as shown. The tension in the string connecting the $8\,kg$ and $4\,kg$ blocks is:

If $m_1 = 4m_2$ and the acceleration of $m_1$ is $a$,find the tension $T$ in the string.

Three blocks $M_1, M_2, M_3$ having masses $4 \ kg, 6 \ kg$ and $10 \ kg$ respectively are hanging from a smooth pulley using ropes $1, 2$ and $3$ as shown in the figure. The tension in the rope $1, T_1$,when they are moving upward with an acceleration of $2 \ m/s^2$ is ............... $N$ (if $g = 10 \ m/s^2$).

If $m_1 = 4m_2$,and the acceleration of $m_1$ is $a$,then find $a$.

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