Question

A bug flying horizontally at 1.7 m/s collides and sticks to the end of a uniform stick hanging vertically from its other end. After the impact, the stick swings out to a maximum angle of 7.0° from the vertical before rotating back. If the mass of the stick is 16 times that of the bug, calculate the length of the stick (in m).

Answer 1

Answer:12.11 m

Explanation:

Given

Bug speed =1.7 m/s

Let mass of bug is m

mass of rod 16m

maximum angle turned by rod is 7^{\circ}[/tex]

From Energy conservation

kinetic energy of bug =Gain in potential energy of rod

$\frac{1}{2}mv^2=16mgL(1-cos\theta )$

$L=\frac{1.7^2}{2\times 16(1-cos7)}$

L=12.11 m