0.4m 0.4m 60° C 0.4m B The diagram shows a wall-mounted light. It consists of a rod AB of mass 0.25 kg and length 0.8 which is freely hinged to a vertical wall at 4, and a lamp of mass 0.5kg fixed at B. The system held in equilibrium by a chain CD whose end C is attached to the midpoint of AB. The end D fixed to the wall a distance 0.4m vertically above A. The rod AB makes an angle of 60° with t downward vertical. The chain is modelled as a light inextensible string, the rod is modelled as uniform and the lamp modelled as a particle. (a) By taking moments about A, determine the tension in the chain. (b) (i) Determine the magnitude of the force exerted on the rod at A. (ii) Calculate the direction of the force exerted on the rod at A. (c) Suggest one improvement that could be made to the model to make it more realistic.

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Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.