Question

A body of mass 8kg is hanging from another body of mass 12 kg. The combination is being pulled by
a string with an acceleration of 2.2 m s2. The tension T1 and T2 will be respectively :(Use g=9.8
(D) 260 N, 96 N
(C) 240 N, 96 N
(A) 200 N, 80 N
(B) 220 N, 90 N​

Answer 1

Answer:

T1 = 240N

T2 = 96 N

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Answer 2

The tension T1 and T2 will be 240 N, 96 N.

Mass of the body = m1 = 12kg (Given)

Mass of the body = m2 = 8kg (Given)

Acceleration of the string - 2.2m/s² (Given)

Considering positive direction upwards -  

Thus,

T1− (m1+m2)g = (m1+m2)a

T1 = (m1+m2)g + (m1+m2)a

T1= (12+8)(2.2)+(12+8)(9.8)

T1 = 44 + 196

= 240 N

T2− (m2)g=(m2)a

T2=(m2)g+(m2)a

T2= (8)(2.2)+(8)(9.8)

T2 = 17.6 + 78.4  

= 96 N