Question

The free end of the open-link chain of total L and mass per unit $\lambda$ is released from rest at x = 0. The thrust force at the lower end of non-moving part due to relative motion of other part as a function of x is :

• A. $2\lambda gx$
• B. $\lambda gx$
• C. $\sqrt{2\lambda }gx$
• D. Zero

Answer 1

The correct option is B $\lambda gx$

Thrust force at the lower end of non-moving part is equals to m'g where m' is the mass of the moving part.

Representing m' as a function of x: $m^{\prime }=x\times \lambda$

Therefore the thrust force at the lower end of non-moving part due to relative motion of other part as a function of x : $=m^{\prime }g=x\lambda g$