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Q.

A small ball of mass $1.0 kg$ is attached to one end of $a 1.0 m$ long massless string and the other end of the string is hung from a point O. When the resulting pendulum is making $30 °$ from the vertical, what is the magnitude of net torque about the point of suspension?
[Take $g = 10 m / s^{2}$ ]

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a

(2) $8 N - m$

b

(4) $5 N - m$

c

(3) $2 N - m$

d

(1) $4 N - m$

answer is D.

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Detailed Solution

Two forces are acting on the ball

$(i) tension (T) (ii) weight (mg)$

Question Image

$Torque of tension about point O is zero, as it passes through O .$

$τ_{mg} = F \times r_{⊥} OP = 1.0 \sin 30 ° = 0.5 m$

$τ_{mg} = (mg) (0.5) = (1) (10) (0.5) = 5 N - m$

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A small ball of mass 1.0 kg is attached to one end of a1.0 m long massless string and the other end of the string is hung from a point O. When the resulting pendulum is making 30° from the vertical, what is the magnitude of net torque about the point of suspension?[Take g=10 m/s2 ]