A thin rod of mass m and length l is oscillat | vedclass

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

Question

(C) The rod is oscillating about one of its ends. The moment of inertia of the rod about an axis passing through one end is $I = \frac{1}{3} m l^2$.Us

Vedclass · Accepted Answer

$\frac{1}{6} \frac{l^2 \omega^2}{g}$

Vedclass · Answer

(C) The rod is oscillating about one of its ends. The moment of inertia of the rod about an axis passing through one end is $I = \frac{1}{3} m l^2$.Using the principle of conservation of mechanical energy,the maximum rotational kinetic energy at the lowest point is equal to the gain in gravitational potential energy at the maximum height $h$ of the centre of mass.$\frac{1}{2} I \omega^2 = mgh$Substituting the value of $I$:$\frac{1}{2} (\frac{1}{3} m l^2) \omega^2 = mgh$$\frac{1}{6} m l^2 \omega^2 = mgh$$h = \frac{1}{6} \frac{l^2 \omega^2}{g}$

$A$ thin rod of mass $m$ and length $l$ is oscillating about a horizontal axis through its one end. Its maximum angular speed is $\omega$. Its centre of mass will rise up to a maximum height of:

Similar Questions

The centroid of the triangle formed by the pair of straight lines $12x^2 - 20xy + 7y^2 = 0$ and the line $2x - 3y + 4 = 0$ is:

The degree of ionization of $0.10 \ M$ lactic acid is $4.0 \ \%$. The value of $K_a$ is

$A$ network of four capacitors with capacitances $C_1 = C$,$C_2 = 2C$,$C_3 = 3C$,and $C_4 = 4C$ is connected to a battery of potential $V$ as shown in the figure. The ratio of the charges on $C_2$ and $C_4$ is

The displacement $x$ of a particle varies with time $t$ as $x = a e^{-\alpha t} + b e^{\beta t}$,where $a, b, \alpha$,and $\beta$ are positive constants. The velocity of the particle will:

When a sound wave of wavelength $\lambda$ is propagating in a medium,the maximum velocity of the particle is equal to the wave velocity. The amplitude of the wave is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module