For any $S.H.M.$, amplitude is $6\, cm$. If instantaneous potential energy is half the total energy then distance of particle from its mean position is .... $cm$
A$3$
B$4.2$
C$5.8$
D$6$
Easy
Download our app for free and get started
B$4.2$
b (b) If at any instant displacement is $y$ then it is given that $U = \frac{1}{2} \times E$ ==> $\frac{1}{2}m{\omega ^2}{y^2} = \frac{1}{2} \times \left( {\frac{1}{2}m{\omega ^2}{a^2}} \right)$
==> $y = \frac{a}{{\sqrt 2 }} = \frac{6}{{\sqrt 2 }} = 4.2\,cm$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A simple pendulum suspended from the ceiling of a stationary lift has period $T_0$. When the lift descends at steady speed, the period is $T_1$, and when it descends with constant downward acceleration, the period is $T_2$. Which one of the following is true?
A simple pendulum of length $ l$ has a brass bob attached at its lower end. Its period is $T$. If a steel bob of same size, having density $ x$ times that of brass, replaces the brass bob and its length is changed so that period becomes $2T$, then new length is
The metallic bob of a simple pendulum has the relative density $\rho$. The time period of this pendulum is $T$. If the metallic bob is immersed in water, then the new time period is given by
A block of mass $m$ is suspended separately by two different springs have time period $t_1$ and $t_2$ . If same mass is connected to parallel combination of both springs, then its time period will be
An object is attached to the bottom of a light vertical spring and set vibrating. The maximum speed of the object is $15\, cm/sec$ and the period is $628$ milli-seconds. The amplitude of the motion in centimeters is