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A block of mass $m_1 =10kg$ is placed a horizontal rough surface $\left[\mu = 0.5 \right ]$ is connected by another mass $m_2$ by a massless string as shown in the figure. What should be the minimum value of $m_2$ (in kg) to just start the motion?

Option: 1
5

Option: 2
7

Option: 3
2

Option: 4
10

Answers (1)

best_answer

As we learned

Minimum mass hung to start Motion -

When m₁ is placed on table (rough)

For liming condition

$T=F_{l}$

$m_{2}g=\mu R$

$m_{2}g=\mu m_{1}g$

$m_{2}=\mu m_{1}$

Also $\mu=\frac{m_{2}}{m_{1}}$

- wherein

T = Tension in string

$F_{l}=$ Limiting friction

$\mu=$ Coefficient of friction

For Limiting Value

$T = f_r = \mu N = \mu m_1g \;\;\;\;-(1)$

$T_{2}=m_{2}g=\mu m_{1}g$

$m_{2}=\mu m_{1}=0.5*10=5$ $kg$

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chirag

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