A massive hemispherical bowl of radius \(R\) is placed on the table as shown. A small marble is moving steadily in the bowl create a circular path in XY plane with radius \(r\). If the marble is given a tiny kick so the marble has small z velocity component (parallel to the axis of the bowl). The angular frequency of small oscillation can be written as:
\(\omega = F(r) \times \sqrt{\frac{g}{R}}\).
Find \(F(r)\) when \(r = 0.5R\).
Round your answer to 2 decimal places!

×

Problem Loading...

Note Loading...

Set Loading...