Two masses m _ 1 = 5kg and m _ 2 = 10kg , connected by an...

Two masses

{m}_{1} = 5kg

and

{m}_{2} = 10kg

, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is

0 . 15

. The minimum weight m that should be put on top of

{m}_{2}

to stop the motion is:

Two masses m _ 1 = 5kg and m _ 2 = 10kg , connected by an inextensible string over a frictionless pulley, are moving as

Options

A $10 .3 kg$
B $18 .3 kg$
C $27 .3 kg$
D $43 .3 kg$

Correct answer

C. $27 .3 kg$

Step-by-step solution

T = 5g⇒ \mu\left(10 + m\right) \ge 5g⇒ 10 + m \ge \dfrac{5}{0.15}

⇒ m \ge 23.33kg⇒ m = 27.3kg

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