a) Write the equation connecting torque with force. (1)
b) A metre stick is balanced at its centre (50 cm). When two coins, each of mass 5 g, are put one on the top of the other at the 12 cm mark, it is found to be balanced at 45 cm. What is the mass of the stick? (2)
c) Derive t

Question

a) Write the equation connecting torque with force. (1)
b) A metre stick is balanced at its centre (50 cm). When two coins, each of mass 5 g, are put one on the top of the other at the 12 cm mark, it is found to be balanced at 45 cm. What is the mass of the stick? (2)
c) Derive the relation connecting torque with angular momentum. (2)

Accepted Answer

>

> [!TLDR]
> Torque is τ = r × F; balancing torques about the new pivot (45 cm) gives a stick mass of 66 g; differentiating L = r × p with respect to time gives τ = dL/dt.
>
> a) Torque (moment of force) about a point is the vector product of the position vector r (from that point to the point of application of the force) and the force F:
>
> τ = r × F,  magnitude τ = rF sinθ = F × d
>
> where d = r sinθ is the perpendicular distance from the point (axis) to the line of action of the force (the "moment arm").
> …

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