Q. 29

# In the previous problem, suppose m2 = 2.0 kg and m3 = 3.0 kg. What should be the mass m so that it remains at rest?

Given: m1= 1kg, m2= 2kg, m3=3kg

For m1 to be at rest, a1 = 0.

T − m1 g = 0

T = m 1g …(i)

For mass m2, − 2g = 2a

T = 4a + 4g …(ii)

For mass m3, 3g – = 2a

T = 6g − 6a

From equations (ii) and (iii), we get:

3T – 12g = 12g – 2T

T = = 4.08g

Substitute the value of T in equation (i), we get: m1 = 4.8kg

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