The length of a simple pendulum is $$50$$ cm and mass of its bob is $$0.1$$ kg. The bob is given a velocity $$5$$ $$m/s$$ along horizontal direction when the bob is at lowest position and the bob describes vertical circle of radius equal to length of pendulum. The position in the vertical circle, where the tension in the string is $$4.5$$ N $$is(g$$ $$=$$ $$10ms$$–$$2)$$

Question

Infinity Learn · Accepted Answer

Tension at any point $$T=$$ $$mv2l-2mg+3mgcos$$θ where v is the velocity at the lowest point $$4.5=0.1520.5-2$$×$$10+3$$×$$10cos$$θ $$45=50-20+30cos$$θ $$15=30cos$$θ $$cos$$θ$$=1/2$$  θ$$=600$$  form the lowest point from the top point it is $$1800-600=1200$$

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