A particle of mass 1 kg is moving in SHM wit | vedclass

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

Question

(D) The path length of $SHM$ is equal to $2A$,where $A$ is the amplitude.Given,$2A = 0.01 \ m$,so $A = 0.005 \ m$.The mass of the particle is $m = 1 \

Vedclass · Accepted Answer

$50$

Vedclass · Answer

(D) The path length of $SHM$ is equal to $2A$,where $A$ is the amplitude.Given,$2A = 0.01 \ m$,so $A = 0.005 \ m$.The mass of the particle is $m = 1 \ kg$ and frequency is $f = 50 \ Hz$.The maximum force acting on a particle in $SHM$ is given by $F_{max} = m \omega^2 A$.Since $\omega = 2 \pi f$,we have $F_{max} = m (2 \pi f)^2 A = m (4 \pi^2 f^2) A$.Substituting the values: $F_{max} = 1 	imes 4 	imes \pi^2 	imes (50)^2 	imes 0.005$.$F_{max} = 4 	imes \pi^2 	imes 2500 	imes 0.005$.$F_{max} = 10000 	imes \pi^2 	imes 0.005 = 50 \pi^2 \ N$.

$A$ particle of mass $1 \ kg$ is moving in $SHM$ with a path length of $0.01 \ m$ and frequency of $50 \ Hz$. The maximum force in newton,acting on the particle is (in $\pi^2$)

Similar Questions

$A$ battery is used to charge a parallel plate capacitor until the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor to the work done by the battery is

The approximate value of $(1.0002)^{3000}$ is

Which one of the following is used as an acid flux in metallurgy?

The period of $\left(\tan \theta - \frac{1}{3} \tan^3 \theta\right) \left(\frac{1}{3} - \tan^2 \theta\right)^{-1}$,where $\tan^2 \theta \neq \frac{1}{3}$,is

$A$ uniform chain of length $L$ is lying on a horizontal table. If the coefficient of friction between the chain and the table top is $\mu$, what is the maximum length of the chain that can hang over the edge of the table without disturbing the rest of the chain on the table?

Vedclass Test Series

Exam Paper Generator

Online Exam Module