Q. 194.3( 7 Votes )

# The bob of a simple pendulum of length 1 m has mass 100g and a speed of 1.4 m/s at the lowest point in its path. Find the tension in the string at this moment.

Answer :

According to the question;

Length of pendulum (l) = 1 m;

Mass of pendulum (m) = 100g =

Velocity at lowest point (v) = 1.4 m/s.

Now;

The Tension in the string is equal to the sum of force in the circular path (centripetal force) and gravitational force..

⇒ Tension T = Centripetal force + gravitational force.

⇒ T = + mg

⇒ T = + 0.1 × 9.8.

(Length of string(l) = radius of circle in which bob of pendulum moves (r))

⇒ T = 0.196 + 0.98

⇒ T = 1.176 N.

The tension in the string is 1.176 N.

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The bob of a simple pendulum of length 1 m has mass 100g and a speed of 1.4 m/s at the lowest point in its path. Find the tension in the string at this moment.

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