In the arrangement shown, the pulleys, strings and the spring balance, all are ideal. If m1m2 , then the reading of the spring balance is

Question

In the arrangement shown, the pulleys, strings and the spring balance, all are ideal. If m1>m2 , then the reading of the spring balance is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-ooydke0riysm1bxb.jpg" /> (A) m1-m2 (B) (1/2)(m1 + m2) (C) (4 m1 m2/m1 + m2) (D) (2 m1 m2/m1 + m2)

Tardigrade Admin · Accepted Answer

The acceleration of the system = ((( textm)1 - ( textm)2/( textm)1 + ( textm)2)) textg and hence the tension T in the string is (((2 textm)1 ( textm)2/( textm)1 + ( textm)2)) textg The reading of the spring balance is T (in units of force) and T/g(in units of mass).

Q. In the arrangement shown, the pulleys, strings and the spring balance, all are ideal. If $m_{1} > m_{2}$ , then the reading of the spring balance is

$m_{1} - m_{2}$

$\frac{1}{2} (m_{1} + m_{2})$

$\frac{4 m _{1} m _{2}}{m _{1} + m _{2}}$

$\frac{2 m _{1} m _{2}}{m _{1} + m _{2}}$

The acceleration of the system $= (\frac{( m ) _{1} - ( m ) _{2}}{( m ) _{1} + ( m ) _{2}}) g$ and hence the tension T in the string is $(\frac{( 2 m ) _{1} ( m ) _{2}}{( m ) _{1} + ( m ) _{2}}) g$
The reading of the spring balance is T (in units of force) and T/g(in units of mass).

Q. In the arrangement shown, the pulleys, strings and the spring balance, all are ideal. If m1​>m2​ , then the reading of the spring balance is

m1​−m2​

21​(m1​+m2​)

m1​+m2​4m1​m2​​

m1​+m2​2m1​m2​​