Kinematics Question 733
Question: A boy on a cycle pedals around a circle of 20 metres radius at a speed of $ 20metres/\sec . $ The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall it’s $ (g=9.8m/{{\sec }^{2}}) $ [MP PMT 1995]
Options:
A) $ {{60.25}^{o}} $
B)$ {{63.90}^{o}} $
C) $ {{26.12}^{o}} $
D)$ {{30.00}^{o}} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \tan \theta =\frac{v^{2}}{rg}=\frac{400}{20\times 9.8} $
therefore $ \theta =63.9{}^\circ $
