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The moment of a force about a point (also called torque) is calculated as the product of the force and the perpendicular distance from the point to the line of action of the force.

Physics

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The moment of a force about a point (also called torque) is calculated as the product of the force and the perpendicular distance from the point to the line of action of the force.

Moment=Force×Distance\text{Moment} = \text{Force} \times \text{Distance}
  1. Calculate the moment due to the 50 N50 \text{ N} force about point O.

    The force is F1=50 NF_1 = 50 \text{ N}.
    The perpendicular distance from point O to the 50 N50 \text{ N} force is d1=3 md_1 = 3 \text{ m}.

    Moment50 N=F1×d1=50 N×3 m\text{Moment}_{50 \text{ N}} = F_1 \times d_1 = 50 \text{ N} \times 3 \text{ m} Moment50 N=150 Nm\text{Moment}_{50 \text{ N}} = 150 \text{ Nm}
  2. Calculate the moment due to the 80 N80 \text{ N} force about point O.

    The force is F2=80 NF_2 = 80 \text{ N}.
    The perpendicular distance from point O to the 80 N80 \text{ N} force is d2=4 md_2 = 4 \text{ m}.

    Moment80 N=F2×d2=80 N×4 m\text{Moment}_{80 \text{ N}} = F_2 \times d_2 = 80 \text{ N} \times 4 \text{ m} Moment80 N=320 Nm\text{Moment}_{80 \text{ N}} = 320 \text{ Nm}
  3. Compare the calculated moments with the given options.

    • Moment of 50 N50 \text{ N} is 150 Nm150 \text{ Nm}.
    • Moment of 80 N80 \text{ N} is 320 Nm320 \text{ Nm}.

    This matches option (C).

    The final answer is C) moment of 50 N is 150 Nm and 80 N is 320 Nm\boxed{\text{C) moment of } 50 \text{ N is } 150 \text{ Nm and } 80 \text{ N is } 320 \text{ Nm}}.

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