A particle is rotated in a vertical circle by | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the particle have speed $u$ at the horizontal position and speed $v$ at the highest point. For a light rod, the particle can complete the circ

Vedclass · Accepted Answer

$\sqrt{2gl}$

Vedclass · Answer

(B) Let the particle have speed $u$ at the horizontal position and speed $v$ at the highest point. For a light rod, the particle can complete the circle even if its speed at the highest point is zero $(v = 0)$.Applying the law of conservation of mechanical energy between the horizontal position and the highest point:Initial energy at horizontal position = Final energy at highest point$\frac{1}{2}mu^2 + mg(0) = \frac{1}{2}mv^2 + mgl$Since $v = 0$ for the minimum speed condition:$\frac{1}{2}mu^2 = mgl$$u^2 = 2gl$$u = \sqrt{2gl}$Thus, the minimum speed required at the horizontal position is $\sqrt{2gl}$.

$A$ particle is rotated in a vertical circle by connecting it to a light rod of length $l$ and keeping the other end of the rod fixed. The minimum speed of the particle when the light rod is horizontal for which the particle will complete the circle is

Similar Questions

$A$ particle is kept at rest at the top of a sphere of diameter $42\, m$. When disturbed slightly,it slides down. At what height $H$ from the bottom will the particle leave the sphere? $(...\, m)$

$A$ heavy mass is attached at one end of a thin wire and whirled in a vertical circle. The chances of breaking the wire are maximum when:

$A$ particle of mass $m$ is tied to a string of length $l$ and whirled in a vertical circle. The difference in tension and kinetic energy at the highest and lowest positions of the circular path will be:

$A$ bob attached to a string is held horizontal and released. The tension $T$ and vertical distance $h$ from the point of suspension can be represented by which of the following graphs?

Vedclass Test Series

Exam Paper Generator

Online Exam Module