A small lamp of mass is hung by two light strings and fixed to a ceiling

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A small lamp of mass 12 kg12\,\text{kg} is hung by two light strings OAOA and OBOB fixed to a ceiling. String OAOA makes an angle of 40∘40^{\circ} with the ceiling, while string OBOB makes an angle of 55∘55^{\circ} with the ceiling on the other side. Both strings lie in the same vertical plane. (i) Draw a free-body diagram of the lamp. (ii) Choose suitable axes and resolve each force acting on the lamp into components along these axes. (iii) Using the conditions for equilibrium, calculate the tension in each string OAOA and OBOB.

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