Question

PLS solve this question would be of great help

Answer 1

Given :

▪ A system of two masses m1 and m2 has been provided.

To Find :

▪ Acceleration of the system and tension force in the string.

Concept :

→ We can easily calculate acceleration of the system with the help of newton's second law of motion.

→ We can calculate tension force by drawing FBD of any one block.

Diagram :

☞ Please see the attachment for better understanding.

Calculation :

↗ Acceleration of the system :

$\dashrightarrow\bf\:F_{net}=M\times a\\ \\ \dashrightarrow\sf\:m_1g=(m_1+m_2)\times g\\ \\ \dashrightarrow\underline{\boxed{\bf{\red{a=\dfrac{m_1g}{m_1+m_2}}}}}\:\gray{\bigstar}$

↗ Tension force in the string :

$\rm{\dag\:For\:block\:of\:mass\:m_2}\\ \\ \Rightarrow\sf\:T=m_2\times a\\ \\ \Rightarrow\sf\:T=m_2{\huge{(}}\dfrac{m_1g}{m_1+m_2}{\huge{)}}\\ \\ \Rightarrow\underline{\boxed{\bf{\orange{T=\dfrac{m_1m_2g}{m_1+m_2}}}}}\:\gray{\bigstar}$

Answer 2

★ GIVEN:

• Surface is frictionless

★ TO FIND:

• Acceleration
• Tension

★ SOLUTION:

Let

• Acceleration be : a
• Tension be : T

Finding Tension & Acceleration using Newton's laws of motion

For block's of mass [( M₁ ) & ( M₂ )]

• Mass = M₁ + M₂
• Acceleration = Gravitational force : g
• Force = mass × acceleration
• m₁g = (m₁ + m₂)g
• Acceleration ( a ) = m₁g/(m₁ + m₂)

For block of mass ( M₂ )

• Tension(T) = m₂ × a

Substituting Value of Acceleration

• Tension (T) = m₁m₂g/(m₁ + m₂)

Acceleration = m₁g/(m₁ + m₂)

Tension = m₁m₂g/(m₁ + m₂)