Question

The system shown adjacent is in equilibrium. Find the acceleration of the blocks A, B & C all of equal masses mat the instant when (Assume springs to be ideal)

(a) The spring between ceiling & A is cut. 

(b) The string (in extensible) between A and B is cut. 

(c) The spring between B & C is cut.

Also find the tension in the string when the system is at rest and in the above 3 cases.

Answer 1

The system is in equilibrium:

kx₃ = mg ...(1) from fig.(1)

2 mg + kx₃ = kx₁ ...(2) from fig.(2)

∴ 3 mg = kx₁ 

(a) when spring between ceiling and block is cut. then, elongation of spring between B and C remains same just after cutting.

(b) when string between A and B is cut. the elongation in springs do not change just after cutting the string.

(c)when spring between B  and C is cut.

Comments

Best Answer...!!