In the figure shown, a particle is released from the position Aon a smooth track. When the particle reaches at B, then normal reaction on it by the track is

Question

In the figure shown, a particle is released from the position Aon a smooth track. When the particle reaches at B, then normal reaction on it by the track is (A) m g (B) 2 mg (C) (2/3) m g (D) (m2 g/h)

Tardigrade Admin · Accepted Answer

Using Mechanical energy conservation m g(3 h)=m g(2 h)+(1/2) m u2 m g h=(1/2) m v2 v2=2 g h m g+ N=(m v2/h)=(m(2 g h)/h) N=m g

Q. In the figure shown, a particle is released from the position Aon a smooth track. When the particle reaches at $B$ , then normal reaction on it by the track is

$m g$

$2 m g$

$\frac{2}{3} m g$

$\frac{m ^{2} g}{h}$

Using Mechanical energy conservation
$m g (3 h) = m g (2 h) + \frac{1}{2} m u^{2}$
$m g h = \frac{1}{2} m v^{2}$
$v^{2} = 2 g h$
$m g + N = \frac{m v ^{2}}{h} = \frac{m ( 2 g h )}{h}$
$N = m g$

Q. In the figure shown, a particle is released from the position Aon a smooth track. When the particle reaches at B, then normal reaction on it by the track is

mg

2mg

32​mg

hm2g​