What is the magnitude of vertical force required to produced a moment of 20 Nm at point A (1 m, 1 m) if the force is acting at point B (2m,2m)

40 N

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30 N

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20 N

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10 N

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Solution

The correct option is C 20 N
$\begin{matrix} let the Force vector be \to F^j Radial vector ¯ ¯¯¯¯¯¯ ¯ B A =^i +^j we Rnow foru moment \to τ \begin{matrix} \to τ = \to r \times \to F = (^i +^j) \times F^j \to τ = F^k \end{matrix} and | \to τ | = 20 N m given \Rightarrow F = 20 N Hence, option (c) is correct. \end{matrix}$

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What is the magnitude of vertical force required to produced a moment of 20 Nm at point A (1 m, 1 m) if the force is acting at point B (2m,2m)

The correct option is C 20 N let the Force vector be →F^j Radial vector ¯¯¯¯¯¯¯¯BA=^i+^j we Rnow foru moment →τ→τ=→r×→F=(^i+^j)×F^j→τ=F^k and |→τ|=20Nm given ⇒F=20 N Hence, option (c) is correct.