An inextensible string passing over a smooth | vedclass

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

Question

(C) For a system of two masses $m_1$ and $m_2$ connected by an inextensible string over a smooth pulley, the acceleration $a$ is given by the formula:

Vedclass · Accepted Answer

$\frac{n+1}{n-1}$

Vedclass · Answer

(C) For a system of two masses $m_1$ and $m_2$ connected by an inextensible string over a smooth pulley, the acceleration $a$ is given by the formula:$a = \frac{m_2 - m_1}{m_2 + m_1} g$Given that the acceleration $a = \frac{g}{n}$, we equate the two expressions:$\frac{g}{n} = \frac{m_2 - m_1}{m_2 + m_1} g$$\frac{1}{n} = \frac{m_2 - m_1}{m_2 + m_1}$Cross-multiplying gives:$m_2 + m_1 = n(m_2 - m_1)$$m_2 + m_1 = n m_2 - n m_1$Rearranging the terms to group $m_1$ and $m_2$:$m_1 + n m_1 = n m_2 - m_2$$m_1(n + 1) = m_2(n - 1)$Therefore, the ratio $\frac{m_2}{m_1}$ is:$\frac{m_2}{m_1} = \frac{n + 1}{n - 1}$

An inextensible string passing over a smooth pulley connects two blocks of masses $m_1$ and $m_2$ $(m_2 > m_1)$ vertically. If the acceleration of the system is $(\frac{g}{n})$, then the ratio of masses $(\frac{m_2}{m_1})$ is

Similar Questions

Two blocks of masses $m$ and $2m$ are connected by a metal wire of negligible mass and having cross-sectional area $A$,passing over a smooth fixed pulley as shown in the figure. If the masses are released from rest,then the stress produced in the wire is:

Two weights $W_1$ and $W_2$ are tied to a massless string and passed over a pulley. If the pulley is accelerated upwards with an acceleration $g$,what will be the tension in the string?

$A$ lift is tied with thick iron ropes having mass $M$. The maximum acceleration of the lift is $a \ m/s^2$ and the maximum safe stress is $S \ N/m^2$. The minimum diameter of the rope is

$A$ mass of $100\,kg$ is moved with uniform velocity under the influence of force $F$. Find the force acting on the beam due to the string connected to the ceiling in $N$.

$A$ lift of mass $1000\,kg$ is moving with an acceleration of $1\,m/s^2$ in the upward direction. The tension developed in the cable connected to the lift is ........... $N$ $(g = 9.8\,m/s^2)$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module