When 2 pulleys are considered such that tension acting in 1st pulley is twice that of in the 2nd pulley , then why is the acceleration of the 1st pulley is half of that of 2nd pulley?T1= 2T2a2=2a1

Dear Naman,

he blocks are connected by a taut string. Hence, their accelerations are same. Let us assume directions of accelerations as shown in the figure. Also, let the magnitude of accelerations be “a”.

Figure 2

Static pulley system

Free body diagram of body of mass 10 kg  

The external forces are (i) weight of block, 10g, and (ii) tension, T, in the string.

Figure 3

Free body diagram

Free body diagram of body of mass 20 kg

The external forces are (i) weight of block, 20g, and (ii) tension, T, in the string.

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