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 θ is:

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 θ is: <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-sthbdexqojhyu2ic.jpg" /> (A) 2vsin(θ /2) (B) vsin( θ /2) (C) 2vcos(θ /2) (D) vcos(θ /2)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-sthbdexqojhyuvxy.jpg" /> VP=2Vcos[(180 - θ /2)]=2Vsin(θ /2)

Q. $A$ 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 $θ$ is :

$2 v s in \frac{θ}{2}$

$v s in \frac{θ}{2}$

$2 v cos \frac{θ}{2}$

$v cos \frac{θ}{2}$

$V_{P} = 2 V cos [\frac{180 - θ}{2}] = 2 V s in \frac{θ}{2}$

Q. 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 θ is :

2vsin2θ​

vsin2θ​

2vcos2θ​

vcos2θ​