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forces physics problem - Please Help ASAP

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the vertical component of the centripetal force must balance the force of gravity.  

Radius of circle = 0.8 * cos 15 = 0.773m  centripetal force = mv^2/r.   This is horizontal component of force in string.  Use tan 15 to get vertical component.

Vertical component = mV^2/r * tan 15 = mg;  V^2 = gr/tan 15  V= 5.31