A stick of mass m and length l is pivoted at | vedclass

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

Question

(A) The potential energy of the stick is associated with its center of mass.Initially,the center of mass of the stick is at a distance $h_1 = \frac{l}

Vedclass · Accepted Answer

$m g \frac{l}{2}(1-\cos 	heta)$

Vedclass · Answer

(A) The potential energy of the stick is associated with its center of mass.Initially,the center of mass of the stick is at a distance $h_1 = \frac{l}{2}$ from the pivot point.When the stick is displaced by an angle $	heta$ from the vertical,the vertical distance of the center of mass from the pivot point becomes $h_2 = \frac{l}{2} \cos 	heta$.The change in the height of the center of mass is $\Delta h = h_1 - h_2 = \frac{l}{2} - \frac{l}{2} \cos 	heta = \frac{l}{2}(1 - \cos 	heta)$.The increase in potential energy is given by $\Delta U = mg \Delta h = mg \frac{l}{2}(1 - \cos 	heta)$.

$A$ stick of mass $m$ and length $l$ is pivoted at one end and is displaced through an angle $\theta$. The increase in potential energy is ............

Similar Questions

$A$ smooth chain of length $2 \,m$ is kept on a table such that its length of $60 \,cm$ hangs freely from the edge of the table. The total mass of the chain is $4 \,kg$. The work done in pulling the entire chain on the table is (Take, $g=10 \,m/s^2$) (in $\,J$)

$A$ particle of mass $1 \ kg$ is free to move along the $x$-axis. Its potential energy is given by $U(x) = (\frac{x^2}{2} - x) \ J$. If the total mechanical energy of the particle is $2 \ J$,find the maximum speed of the particle.

$A$ uniform chain of length $l$ and mass $m$ lies on the surface of a smooth hemisphere of radius $R$ $(R > l)$ with one end tied to the top of the hemisphere as shown in the figure. Gravitational potential energy of the chain with respect to the base of the hemisphere is

$A$ body of mass $2\, kg$ is situated at a height $5\, m$ above the ground. Its potential energy is reported as $70\, J$. The potential energy of a $3\, kg$ body situated at a height $1\, m$ above the ground will be reported as ................ $J$.

$A$ number of identical cubical blocks of edge $a$ and mass $m$ are lying on a horizontal table. The work done on the blocks in arranging them in a column of height $(n + 1)a$ on the table is

Vedclass Test Series

Exam Paper Generator

Online Exam Module