A plank with a small block on top of it is un | vedclass

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

Question

(A) For the block to separate from the plank,the downward acceleration of the plank must exceed the acceleration due to gravity $g$.At the point of se

Vedclass · Accepted Answer

$\frac{10}{\pi^2} \, m$

Vedclass · Answer

(A) For the block to separate from the plank,the downward acceleration of the plank must exceed the acceleration due to gravity $g$.At the point of separation,the downward acceleration of the $SHM$ is equal to $g$.The maximum acceleration of a particle in $SHM$ is given by $a_{max} = A\omega^2$.Setting $a_{max} = g$,we get $A\omega^2 = g$.Given the time period $T = 2 \, s$,the angular frequency $\omega = \frac{2\pi}{T} = \frac{2\pi}{2} = \pi \, rad/s$.Substituting the values into the equation $A = \frac{g}{\omega^2}$,we use $g = 10 \, m/s^2$.$A = \frac{10}{\pi^2} \, m$.Thus,the minimum amplitude is $\frac{10}{\pi^2} \, m$.

$A$ plank with a small block on top of it is undergoing vertical $SHM$. Its period is $2 \, s$. The minimum amplitude at which the block will separate from the plank is:

Similar Questions

When $NaCl$ is dissolved in water,the sodium ion becomes

The characteristics of a molecular probe are:
$I$. Very long molecule
$II$. Double-stranded
$III$. $DNA$ or $RNA$
$IV$. Complementary to a part of desired gene
The correct pair is:

Which of the following is not an isotope of hydrogen?

Which of the following is not an example of a natural polymer?

The moment of inertia of a uniform annular disc of internal radius $r$,external radius $R$,and mass $M$ about an axis passing through its center and perpendicular to its plane is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module