A pendulum bob has a speed of 3, m/s at its l | vedclass

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

Question

(D) Let the velocity of the bob be $v$ at point $B$,where the string makes an angle of $60^o$ with the vertical. Using the law of conservation of mech

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(D) Let the velocity of the bob be $v$ at point $B$,where the string makes an angle of $60^o$ with the vertical. Using the law of conservation of mechanical energy between the lowest point $A$ and point $B$:$KE_A + PE_A = KE_B + PE_B$Taking the lowest point $A$ as the reference level for potential energy $(PE_A = 0)$:$\frac{1}{2}mv_A^2 + 0 = \frac{1}{2}mv^2 + mgh$Here,$h = l(1 - \cos 	heta)$ is the height of point $B$ above point $A$.Given $v_A = 3\, m/s$,$l = 0.5\, m$,$	heta = 60^o$,and $g = 10\, m/s^2$:$\frac{1}{2} 	imes m 	imes 3^2 = \frac{1}{2} 	imes m 	imes v^2 + m 	imes 10 	imes 0.5 	imes (1 - \cos 60^o)$$4.5 = 0.5v^2 + 5 	imes (1 - 0.5)$$4.5 = 0.5v^2 + 5 	imes 0.5$$4.5 = 0.5v^2 + 2.5$$0.5v^2 = 2$$v^2 = 4$$v = 2\, m/s$

$A$ pendulum bob has a speed of $3\, m/s$ at its lowest position. The pendulum is $0.5\, m$ long. The speed of the bob,when the length makes an angle of $60^o$ with the vertical,will be ..... $m/s$ (If $g = 10\, m/s^2$)

Similar Questions

The time period of a simple pendulum on a freely moving artificial satellite is

The length of a seconds pendulum is $1 \,m$ on the earth. If the mass and diameter of a planet are double that of the earth, then the length of the seconds pendulum on the planet will be: (in $\,m$)

$A$ simple pendulum having length $\ell$ has a speed of $\sqrt{2g\ell}$ at the bottom-most point of its trajectory. Its motion will be:

$A$ simple pendulum keeps correct time at $0^{\circ}C$. At $25^{\circ}C$,it loses $12.5 \, s$ in a day. What is the coefficient of linear expansion of the metal of the pendulum?

$A$ simple pendulum with a bob of mass $m$ oscillates from $A$ to $C$ and back to $A$ such that $PB$ is $H$. If the acceleration due to gravity is $g$,then the velocity of the bob as it passes through $B$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module