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Standard XII

Physics

Tension in a String

Find tension ...

Question

Find tension in the string, force of friction on 1 kg block and its direction.

T = 64 N, f = 48 N (i n w a r d s)

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T = 48 N, f = 64 N (o u t w a r d s)

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T = 64 N, f = 64 N (i n w a r d s)

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T = 64 N, f = 48 N (o u t w a r d s)

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Solution

The correct option is D $T = 64 N, f = 48 N (o u t w a r d s)$
Given : $m_{1} = 1 k g$ $m_{2} = 2 k g$ $r_{1} = 1 m$ $r_{2} = 2 m$ $w = 4$ rad/s
For block 2 kg : $T = m_{2} r_{2} w^{2}$
$∴ T = 2 \times 2 \times 4^{2} = 64$ N

For block 1kg : $m_{2} a_{r} = T - f$
$∴ m_{1} r_{1} w^{2} = T - f$
OR $1 \times 1 \times 4^{2} = 64 - f$
$⟹ f = 64 - 16 = 48$ N (outwards)

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