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Calculate the Tension in the String Shown in Figure (5−E13). the Pulley and the String Are Light and All the Surfaces Are Frictionless. Take G = 10 M/S2.

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प्रश्न

Calculate the tension in the string shown in the following figure. The pulley and the string are light and all the surfaces are frictionless. Take g = 10 m/s2.

बेरीज
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उत्तर

The free-body diagrams for both the bodies are shown below:  

T + ma =mg    ...(i)
and T = ma    ...(ii)

From equations (i) and (ii), we get:
ma + ma = mg
⇒ 2ma = g
\[\Rightarrow a = \frac{g}{2} = \frac{10}{5} = 5 m/ s^2\]
From equation (ii),
T = ma = 5 N

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पाठ 5: Newton's Laws of Motion - Exercise [पृष्ठ ८१]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 5 Newton's Laws of Motion
Exercise | Q 30 | पृष्ठ ८१

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