Particles A and B, of masses 0.3 kg and 0.7 kg respectively, are attached to the ends of a light inextensible string. The string passes over a fixed smooth pulley. A is held at rest and B hangs freely, with both straight parts of the string vertical and both particles at a height of 0.52 m above the floor (see diagram). A is released and both particles start to move. (i) Find the tension in the string. [4] When both particles are moving with speed 1.6 m s−1 the string breaks. (ii) Find the time taken, from the instant that the string breaks, for A to reach the floor.
When the blocks are left free, tension remains the same at all time provided the string does not break. Use Newton's laws to find the acceleration and in turn the tension. And the rest all is kinematics.
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