A body of mass 0.01 kg executes simple harmo | vedclass

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

Question

(D) From the given force-displacement graph,the force $F$ is related to displacement $x$ by $F = -kx$.Taking the magnitude,the slope of the graph give

Vedclass · Accepted Answer

$0.31$

Vedclass · Answer

(D) From the given force-displacement graph,the force $F$ is related to displacement $x$ by $F = -kx$.Taking the magnitude,the slope of the graph gives the force constant $k$:$k = |\frac{F}{x}| = \frac{8.0 \ N}{2.0 \ m} = 4.0 \ N/m$.The mass of the body is $m = 0.01 \ kg$.The time period $T$ of simple harmonic motion is given by the formula:$T = 2\pi \sqrt{\frac{m}{k}}$Substituting the values:$T = 2 	imes 3.14159 	imes \sqrt{\frac{0.01}{4.0}}$$T = 2 	imes 3.14159 	imes \sqrt{0.0025}$$T = 2 	imes 3.14159 	imes 0.05$$T = 0.314 \ s \approx 0.31 \ s$.

$A$ body of mass $0.01 \ kg$ executes simple harmonic motion $(S.H.M.)$ about $x = 0$ under the influence of a force shown in the graph. The period of the $S.H.M.$ is .... $s$

Similar Questions

Which of the following has $p\pi - d\pi$ bonding?

Starting from rest, a body slides down a $45^{\circ}$ inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is:

The number of subsets of $\{1, 2, 3, \ldots, 9\}$ containing at least one odd number is

Which of the following statements is not correct?

Genetic drift operates in

Vedclass Test Series

Exam Paper Generator

Online Exam Module