# 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= 2T2              a2=2a1

Aman Bansal
592 Points
11 years ago

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”.

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.

F y =T10g=10a T10x10=10a T=100+10a

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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Thanks

Aman Bansal