Question

two masses of 3 kg and 4 kg are connected at the two ends of light in acceptable strings that passed over a frictionless pulley find the acceleration of the masses ​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

Two masses of 3 kg and 4 kg are connected at the two ends of light in acceptable strings that passed over a frictionless pulley find the acceleration of the masses

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• ${\sf m_1}$ = 3kg
• ${\sf m_2}$ = 4kg

$\large\underline{\underline{\sf To\:Find:}}$

• Acceleration of the masses (a)

❍ For mass 4kg

$\implies{\sf T-m_1g=m_1a\:\:\:\: →(1)}$

❍ For mass 3kg

$\implies{\sf m_2-T=m_2a\:\:\:→(2)}$

From eq1 and eq2

$\implies{\sf (m_2-m_1)g=(m_1+m_2)a }$

$\implies{\sf a=\dfrac{(m_2-m_1)g}{(m_1+m_2)} }$

$\implies{\sf a = \dfrac{4-3}{4+3}g}$

$\implies{\sf a = \dfrac{1}{7}×10 }$

$\implies{\bf \red{Acceleration (a) =1.42m/s^2}}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Acceleration of masses is ${\bf \red{1.42m/s^2}}$.