A bob of mass m = 0.200kg is suspended from a fixed point with a massless string

Question

A bob of mass m = 0.200kg is suspended from a fixed point with a massless string of length L = 20.0cm . You will investigate the motion in which the string traces a conical surface with half-angle = 21.0 .<?xml:namespace prefix = o />

What tangential speed v must the bob have so that it moves in a horizontal circle with the string making an angle 21.0 with the vertical?

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A bob of mass m = 0.200kg is suspended from a fixed point with a massless string of length L = 20.0cm . You will investigate the motion in which the string traces a conical surface with half-angle = 21.0 What tangential speed v must the bob have so that it moves in a horizontal circle with the string making an angle 21.0 with the vertical?

Explanation / Answer

mass of the bob is m = 0.200 kg

sin ? = r / L

r = sin (21 ) * 20 cm

= 0.0716735899 m

tangential speed v = r w

= r *( v g ) / L cos ?

= 0.0716735899 m * ( v * 9.8 ) / 20 cm * cos 21

v = 1.201 m/s

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