A stone is swinging in a horizontal circle 0. | vedclass

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

Question

(C) The diameter of the horizontal circle is $d = 0.8 \, m$. The amplitude $A$ of the simple harmonic motion $(SHM)$ is the radius of this circle.$A =

Vedclass · Accepted Answer

$0.4 \, m, 2 \, s$

Vedclass · Answer

(C) The diameter of the horizontal circle is $d = 0.8 \, m$. The amplitude $A$ of the simple harmonic motion $(SHM)$ is the radius of this circle.$A = \frac{d}{2} = \frac{0.8 \, m}{2} = 0.4 \, m$.The frequency of revolution is $f = 30 \, rev/min = \frac{30}{60} \, rev/s = 0.5 \, Hz$.The period $T$ of the $SHM$ is the same as the time taken for one complete revolution.$T = \frac{1}{f} = \frac{1}{0.5} = 2 \, s$.Alternatively,using angular velocity $\omega = \frac{2 \pi 	imes 30}{60} = \pi \, rad/s$.Since $\omega = \frac{2 \pi}{T}$,we have $\pi = \frac{2 \pi}{T}$,which gives $T = 2 \, s$.

$A$ stone is swinging in a horizontal circle $0.8 \, m$ in diameter at $30 \, rev/min$. $A$ distant horizontal light beam causes a shadow of the stone to be formed on a nearly vertical wall. The amplitude and period of the simple harmonic motion for the shadow of the stone are:

Similar Questions

$A$ potential is given by $V(x) = k(x+a)^2 / 2$ for $x < 0$ and $V(x) = k(x-a)^2 / 2$ for $x > 0$. The schematic variation of the oscillation period $T$ for a particle performing periodic motion in this potential as a function of its energy $E$ is:

If the displacement of a particle executing simple harmonic motion is given by $x = 0.5 \cos (125.6 t)$,then the time period of oscillation of the particle is nearly. (Here $x$ is displacement in metre and $t$ is time in second) (in $s$)

Which of the following equations represents a simple harmonic motion? $(\omega$ is angular frequency, $A$ is amplitude of oscillation and $i = \sqrt{-1})$

In simple harmonic motion,the acceleration of a particle is given by $a = -bx$. What is the time period of the motion?

Which of the following is a necessary and sufficient condition for $S.H.M.$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module