A small body of mass 0.10 , kg is executing S | vedclass

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

Question

(A) The maximum force in $S.H.M.$ is given by $F_{\max} = m \cdot a_{\max}$,where $a_{\max} = A \omega^2$.Given: mass $m = 0.10 \, kg$,amplitude $A =

Vedclass · Accepted Answer

$98.596$

Vedclass · Answer

(A) The maximum force in $S.H.M.$ is given by $F_{\max} = m \cdot a_{\max}$,where $a_{\max} = A \omega^2$.Given: mass $m = 0.10 \, kg$,amplitude $A = 1.0 \, m$,and period $T = 0.20 \, s$.The angular frequency $\omega$ is given by $\omega = \frac{2\pi}{T} = \frac{2\pi}{0.20} = 10\pi \, rad/s$.The maximum acceleration is $a_{\max} = A \omega^2 = 1.0 	imes (10\pi)^2 = 100\pi^2 \, m/s^2$.The maximum force is $F_{\max} = m \cdot a_{\max} = 0.10 	imes 100\pi^2 = 10\pi^2 \, N$.Using $\pi^2 \approx 9.8596$,we get $F_{\max} = 10 	imes 9.8596 = 98.596 \, N$.

$A$ small body of mass $0.10 \, kg$ is executing $S.H.M.$ of amplitude $1.0 \, m$ and period $0.20 \, s$. The maximum force acting on it is .... $N$.

Similar Questions

$A$ 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 $\pi^2$)

$A$ particle is executing simple harmonic motion with an amplitude of $0.02 \ m$ and frequency $50 \ Hz$. The maximum acceleration of the particle is

This is the position-time graph of a mass on a spring. What can you say about the velocity and force at the instant indicated by the dashed line? (Positive direction is to the right.)

The displacement of an oscillating particle varies with time $t$ (in seconds) according to the equation $y (cm) = \sin \left[ \frac{\pi}{2} \left( \frac{t}{2} + \frac{1}{3} \right) \right]$. The maximum acceleration of the particle is approximately ..... $cm/s^2$.

$A$ particle of mass $5 \,g$ is executing $S.H.M.$ with an amplitude $0.3 \,m$ and period $\frac{\pi}{5} \,s$. The maximum value of the force acting on the particle is (in $\,N$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module