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Physics Olympiads Series Problem 7

Physics.fisikastudycenter.com,- Physics Olympiads Problems and Solutions Examples, senior high school, mechanics, forces, centripetal force, circular motion, equilibrium.



Problem #7
A string 30 cm long is used to whirl a particle of mass m in horizontal circle at velocity of v shown above figure. Find the magnitude of the particle velocity, sin 37° = 3/5, sin 53° = 4/5 and use the acceleration due to gravity g = 10 m/s2


Solution #7
Draw the free-diagram of all forces acting on particle m, as seen below:



Use the equilibrium condition for Y axis, then simplify the equation,



Calculate the centripetal force at X absis, involve T cos 53°



Combining the two equations we get



Try This



Use the acceleration due to gravity g = 9.8 m/s2

 

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