Question

If m1 = 10kg, m2 = 4kg and m3=2kg the tension in the string connecting m1 and m2 is,

Figure in attachment.

Please answer it.​

Answer 1

Answer:

37.5N and 32.5N

Explanation:

Refer to the material.

Answer 2

If m1 = 10kg, m2 = 4kg and m3=2kg the tension in the string connecting m1 and m2 is $\frac{15}{4} g$ N

Explanation:

Given:

Mass m1 = 10 kg

Mass m2 = 4 kg

Mass m3 = 2kg

To find : The tension in the string connecting m1 and m2

Solution,

Let,

$a = \frac{Total Force}{Total Mass}$

$a = \frac{m_{1} g + m_{2}gsin g - m_{3}g }{m_{1}+m_{2} +m_{3} }$

$a = \frac{g(10+2 - 2)}{16}$

$a = \frac{5}{8} g m/s$

From the figure,

$m_{1} g - T_{1} = m_{1} a$

⇒ $10g - T_{1} = 10 (\frac{5}{8} ) g$

⇒$10g - T_{1} = (\frac{25}{4} ) g$

⇒ $T_{1} = 10 g - \frac{25}{4} g$

⇒ $T_{1} = \frac{15}{4} g$ N

Final answer:

The  tension in the string connecting m1 and m2 is $\frac{15}{4} g$ N

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