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Standard IX

Physics

Simple Pendulum

The bob of a ...

Question

The bob of a simple pendulum of length $1 m$ has mass $100 g$ and a speed of $1.4 m / s$ . Find the tension in the string at this instant.

13 N

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1.196 N

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15 N

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None of these

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Solution

The correct option is B $1.196 N$
At lowest point ,two force are acting on the bob
(a)Tension in string upward.
(b)mg downward
As it is moving along circular path
Hence,
$\begin{matrix} T - m g = m v^{2} r T - m v^{2} r \Rightarrow T = m g + m v^{2} r T = m g + m v^{2} r G i v e n, m m = 100 g = 0.1 k g v = 1.4 m / s r = 1 m g = 10 m s^{- 2} H e n c e, T = 1.196 N \end{matrix}$
Hence,
option $B$ is correct answer.

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Similar questions

Q. The bob of a simple pendulum of length

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has mass

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and a speed of

1.4 m / s

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and has a speed of

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when the string makes an angle of

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Q. The length of simple pendulum is

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Consider:

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Suppose the bob of the previous problem has a speed of 1.4 m/s when the string makes an angle of 0.20 radian with the vertical. Find the tension at this instant. You can use $c o s θ \approx 1 - θ^{2} / 2$ and $s i n θ \approx θ$ for small $θ .$

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

The correct option is B 1.196NAt lowest point ,two force are acting on the bob(a)Tension in string upward.(b)mg downwardAs it is moving along circular path Hence,T−mg=mv2rT−mv2r⇒T=mg+mv2rT=mg+mv2rGiven,mm=100g=0.1kgv=1.4m/sr=1mg=10ms−2Hence,T=1.196NHence,option B is correct answer.

The bob of a simple pendulum of length $1 m$ has mass $100 g$ and a speed of $1.4 m / s$ . Find the tension in the string at this instant.