In the previous problem, suppose $m_{2} = 2.0$ kg and $m_{3} = 3.0 k g$ . What should be the mass m so that it remains at rest ?

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Solution

$M_{1}$ should be at rest,

$T - m g = \frac{T}{2} - 2 g - 2 a_{1} = 0$

$\Rightarrow T = m_{1} g$ ...(i)

and $\frac{T}{2} - 3 g + 3 g_{1} = 0$

$\Rightarrow T - 4 g - 4 a_{1} = 0$ ...(ii)

$T - 6 g - 6 a_{1}$

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

3T -12g = 12g - 2T

$\Rightarrow T = \frac{24 g}{5} = 4.8 g$

Putting the value of T in equation (i), we get,

$m_{1} = 4.8 k g$

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

M1 should be at rest, T−mg=T2−2g−2a1=0 ⇒T=m1g ...(i) and T2−3g+3g1=0 ⇒T−4g−4a1=0 ...(ii) T−6g−6a1 From equations (ii) and (iii), we get 3T -12g = 12g - 2T ⇒T=24g5=4.8g Putting the value of T in equation (i), we get, m1=4.8kg

In the previous problem, suppose $m_{2} = 2.0$ kg and $m_{3} = 3.0 k g$ . What should be the mass m so that it remains at rest ?