If m_1 = 4m_2,what is the acceleration of m_2 | vedclass

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

Question

(D) From the given pulley system,the string is connected to $m_1$ via a movable pulley.Let the displacement of $m_1$ be $x_1$ and the displacement of

Vedclass · Accepted Answer

$2a$

Vedclass · Answer

(D) From the given pulley system,the string is connected to $m_1$ via a movable pulley.Let the displacement of $m_1$ be $x_1$ and the displacement of $m_2$ be $x_2$.Due to the constraint of the string length,if $m_1$ moves up by a distance $x_1$,the movable pulley also moves up by $x_1$,which releases $2x_1$ length of the string.This released string length causes $m_2$ to move down by a distance $x_2 = 2x_1$.Differentiating with respect to time twice,we get the relationship between accelerations: $a_2 = 2a_1$.Given that the acceleration of $m_1$ is $a_1 = a$,the acceleration of $m_2$ is $a_2 = 2a$.

If $m_1 = 4m_2$,what is the acceleration of $m_2$? The acceleration of $m_1$ is $a$.

Similar Questions

$A$ block is dragged on a smooth plane with the help of a rope which moves with a velocity $v$ as shown in the figure. The horizontal velocity of the block is

Find the velocity of the hanging block if the velocities of the free ends of the rope are as indicated in the figure.

Consider the situation shown in the figure. All the surfaces are smooth. The tension in the string connected to $2m$ is

Find the acceleration of $B$.

If the acceleration of $A$ is $2 \, m/s^2$ to the left and the acceleration of $B$ is $1 \, m/s^2$ to the left, then the acceleration of $C$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module