0.8m D0.4m0.4m60°0.4mThe diagram shows a wall-mounted light. It consists of a rod AB of mass 0.25 kg and length 0.81which is freely hinged to a vertical wall at A, and a lamp of mass 0.5kg fixed at B. The systemheld in equilibrium by a chain CD whose end C is attached to the midpoint of AB. The end Dfixed to the wall a distance 0.4m vertically above A. The rod AB makes an angle of 60° with thdownward vertical.The chain is modelled as a light inextensible string, the rod is modelled as uniform and the lampmodelled 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 4.(c)Suggest one improvement that could be made to the model to make it more realistic.

(a) Draw the free-body diagram of the system.

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.

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.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.55P: Solve Prob. 10.54 assuming that A and B are connected by a spring of stiffness k = 0.3 W/b and free...

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