A tennis ball is attached by a thread to the rim of a rotating bicycle wheel (ra

Question

A tennis ball is attached by a thread to the rim
of a rotating bicycle wheel (radius = 0.5 meter) that rotates
once per second. The axle of the wheel is horizontal. A
very sharp blade cuts the thread (thereby detaching the
ball from the wheel) when the ball and the axle are in the
same horizontal plane (at the moment shown on the
diagram to the right).
a. Describe the trajectory of the tennis ball after the thread
is cut.
b. After the thread is cut, what maximum vertical height
(above where the thread is cut) does the ball reach?

Explanation / Answer

a.) The ball is moving along the tangent of bicycle rim therefore at that moment it is moving vertically upwards

b.)Velocity of ball=w*r

=2*pi*r

=3.14 m/s

Noe maximum Height

v^2=u^2+2*a*s

s=3.14^2/(2*9.81)

=0.5 m ans

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