Question

In the shown system m₁> m_r . Thread QR is holding the system. If this thread is cut, then just after cutting.

• A. Acceleration of mass m. is zero and that of m₂ is directed upward
• B. Acceleration of mass m₂ is zero and that of m₂ is directed downward.
• C. Acceleration of both the blocks will be same.
• D. Acceleration of system is given by $\left( \frac { m _ { 1 } - m _ { 2 } } { m _ { 1 } + m _ { 2 } } \right)$ kg, where k is a spring factor.

Answer 1

Answer: (A)

Acceleration of mass m. is zero and that of m₂ is directed upward

Answer 2

On cutting of string QR, the resultant force of m₁ remains zero because its weight m₁g is balanced by the tension in the spring but on block m₂ a resultant upward force (m₁ – m₂)g is developed. This block m₁ will have no resultant whereas m₂ does have an upward acceleration given by $\frac { \left( m _ { 1 } - m _ { 2 } \right) g } { m _ { 2 } }$ .