A bead is free to slide down a smooth wire ti | vedclass

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

Question

(D) Let $R$ be the radius of the circle. The length of the chord $AB$ is given by $AB = 2R \cos 	heta$.The acceleration of the bead along the wire is

Vedclass · Accepted Answer

Both $(A)$ and $(B)$

Vedclass · Answer

(D) Let $R$ be the radius of the circle. The length of the chord $AB$ is given by $AB = 2R \cos 	heta$.The acceleration of the bead along the wire is $a = g \cos 	heta$.Using the equation of motion $v^2 = u^2 + 2as$,where $u = 0$ and $s = AB = 2R \cos 	heta$:$v^2 = 0 + 2(g \cos 	heta)(2R \cos 	heta) = 4Rg \cos^2 	heta$$v = 2\sqrt{Rg} \cos 	heta$. Thus,$v \propto \cos 	heta$.Using the equation $s = ut + \frac{1}{2}at^2$:$2R \cos 	heta = 0 + \frac{1}{2}(g \cos 	heta)t^2$$2R \cos 	heta = \frac{1}{2}g \cos 	heta t^2$$t^2 = \frac{4R}{g} \Rightarrow t = 2\sqrt{\frac{R}{g}}$.Since $t$ is independent of $	heta$,both statements $(A)$ and $(B)$ are correct.

$A$ bead is free to slide down a smooth wire tightly stretched between points $A$ and $B$ on a vertical circle. If the bead starts from rest at $A$,the highest point on the circle,

Similar Questions

An object of mass $5 \, kg$ is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of $10 \, N$ throughout the motion. The ratio of time of ascent to the time of descent will be equal to [Use $g = 10 \, ms^{-2}$]

$A$ stone is dropped from a certain height and reaches the ground in $5\, s$. If the stone is stopped after $3\, s$ of its fall and then allowed to fall again,then the time taken by the stone to reach the ground for the remaining distance is........$s$.

From the top of a tower,two stones,whose masses are in the ratio $1:2$,are thrown: one straight up with an initial speed $u$ and the second straight down with the same speed $u$. Neglecting air resistance,which of the following is true?

An object is thrown vertically upwards. At its maximum height,which of the following quantities becomes zero?

The nature of a graph drawn for a freely falling body with time on the $x$-axis and speed on the $y$-axis is (Assuming initial speed to be zero.)

Vedclass Test Series

Exam Paper Generator

Online Exam Module