First slide

The 3 equation for uniform acc

Question

A frictionless wire is fixed between A and B inside a sphere of radius R. A small ball slips along the wire. The time taken by the ball to slip from A to B will be

Moderate

A

$2 \sqrt{(R / g)}$
B

$2 \sqrt{Rg} / gcos â¡ Î¸$
C

$2 \sqrt{Rgcos â¡ Î¸} / g]$
D

$Rg / \sqrt{gcos â¡ Î¸}$

Solution

$s = AB = 0 + \frac{1}{2} {at}^{2}$
Here, $a = gcos â¡ Î¸ and AB = 2 Rcos â¡ Î¸$
$â´ 2 Rcos â¡ Î¸ = \frac{1}{2} (gcos â¡ Î¸) t^{2} or t = 2 \sqrt{(R / g)}$

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