Question

$A$ hoop rolls on $a$ horizontal ground without slipping with linear speed $v$ . Speed of $a$ particle $P$ on the circumference of the hoop at angle $\theta $ is :

• A. $2vsin\frac{\theta }{2}$
• B. $vsin\frac{ \theta }{2}$
• C. $2vcos\frac{\theta }{2}$
• D. $vcos\frac{\theta }{2}$

Answer 1

Answer: (A)

$V_{P}=2Vcos\left[\frac{180 - \theta }{2}\right]=2Vsin\frac{\theta }{2}$