Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# 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. - Physics

Sum

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.

#### Solution

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

Concept: Newton’s Second Law of Motion
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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 1
Chapter 5 Newton's Laws of Motion
Q 30 | Page 81